![\"2015-06-11_224122\"](\"http:\/\/www.daliane.com\/wp-content\/uploads\/2015\/06\/2015-06-11_224122.jpg\")
<\/a>AS3\u5411\u9f20\u6807\u65cb\u8f6c(\u6216\u5411\u67d0\u70b9\u65cb\u8f6c)\ndx = mouseX \u2013 sprite.x;
\ndy = mouseY \u2013 sprite.y;
\nsprite.rotation = Math.atan2(dy, dx) * 180 \/ Math.PI;<\/p>\n
AS3\u6ce2\u5f62\u8fd0\u52a8:
\npublic function onEnterFrame1(event:Event):void {
\nball.y=centerScale+Math.sin(angle)*range;
\nangle+=speed;
\n}<\/p>\n
\u5fc3\u8df3:
\npublic function onEnterFrame1(event:Event):void {
\nball.scaleX=centerScale+Math.sin(angle)*range;
\nball.scaleY=centerScale+Math.sin(angle)*range;
\nangle+=speed;
\n}<\/p>\n
AS3\u5706\u5fc3\u65cb\u8f6c:
\npublic function onEnterFrame(event:Event):void {
\nball.x=centerX+Math.cos(angle)*radius;
\nball.y=centerY+Math.sin(angle)*radius;
\nangle+=speed;
\n}<\/p>\n
\u692d\u5706\u65cb\u8f6c:
\npublic function onEnterFrame(event:Event):void {
\nball.x=centerX+Math.cos(angle)*radiusX;
\nball.y=centerY+Math.sin(angle)*radiusY;
\nangle+=speed;
\n}
\nAS3\u989c\u8272\u8fd0\u7b97\u5f97\u5230\u900f\u660e\u503c:
\nvar t:uint=0\u00d777ff8877
\nvar s:uint=0xff000000
\nvar h:uint=t&s
\nvar m:uint=h>>>24
\ntrace(m)
\nAS3\u8f6c\u6362\u4e3a\u5341\u8fdb\u5236:
\ntrace(hexValue);
\nAS3\u5341\u8fdb\u5236\u8f6c\u6362\u4e3a\u5341\u516d\u8fdb\u5236:
\ndecimalValue.toString(16)
\nAS3\u989c\u8272\u63d0\u53d6:
\nred = color24 >> 16;
\ngreen = color24 >> 8 & 0xFF;
\nblue = color24 & 0xFF;
\nalpha = color32 >> 24;
\nred = color32 >> 16 & 0xFF;
\ngreen = color32 >> 8 & 0xFF;
\nblue = color232 & 0xFF;
\nAS3\u6309\u4f4d\u8ba1\u7b97\u5f97\u5230\u989c\u8272\u503c:
\ncolor24 = red < < 16 | green << 8 | blue;
\ncolor32 = alpha << 24 | red << 16 | green << 8 | blue;
\nAS3\u8fc7\u63a7\u5236\u70b9\u7684\u66f2\u7ebf:
\n\/\/ xt, yt is the point you want to draw through
\n\/\/ x0, y0 and x2, y2 are the end points of the curve
\nx1 = xt * 2 \u2013 (x0 + x2) \/ 2;
\ny1 = yt * 2 \u2013 (y0 + y2) \/ 2;
\nmoveTo(x0, y0);
\ncurveTo(x1, y1, x2, y2);<\/p>\n
AS3\u53f3\u952e\u83dc\u5355:
\n\u5efa\u7acb\u53f3\u952e\u83dc\u5355\u9879\uff1a
\nvar cm:ContextMenu=new ContextMenu();
\ncm.hideBuiltInItems();\/\/\u9690\u85cf\u7cfb\u7edf\u83dc\u5355\uff08\u4e0d\u5168\u9690\u85cf\uff09
\ncm.builtInItems\u6307\u5411\u53f3\u952e\u83dc\u5355\u7684\u7cfb\u7edf\u9879\u662f\u4e2aContextMenuBuiltInItems\u5bf9\u8c61
\n\u5982\uff1a cm.builtInItems.print=true;\u4f7f\u5176\u6253\u5370\u53ef\u9009
\ncm.customItems\u662f\u4e2a\u6570\u5b57\u6307\u5b9a\u53f3\u952e\u83dc\u5355\u9879\u76ee
\nnew ContextMenuItem(\u201c\u83dc\u53551\u2033,false,true,true)\u5efa\u7acb\u4e00\u4e2a\u53f3\u952e\u83dc\u5355\u9879\u76ee,\u5fc5\u987b\u6307\u5b9a\u5230customItem\u4e2d\uff0c\u7b2c\u4e00\u4e2a\u53c2\u6570\u4e3a\u662f\u5426\u4e0a\u9762\u51fa\u73b0\u95f4\u9694\u7ebf\uff0c\u7b2c\u4e8c\u4e2a\u4e3a\u662f\u5426\u7981\u7528\uff0c\u7b2c\u4e09\u4e2a\u4e3a\u662f\u5426\u663e\u793a\uff1b
\n\u5982\uff1a cm.customItems.push(new ContextMenuItem(\u201chello\u201d,false,false,true))
\n\u5e38\u7528\u4e8b\u4ef6\uff1a
\ncm.addEventListener(ContextMenuEvent.MENU_SELECT,function(){trace(\u201css\u201d)})\/\/\u5f53\u53f3\u952e\u83dc\u5355\u89e6\u53d1\u65f6
\ncm.customItems[i].addEventListener(ContextMenuEvent.MENU_ITEM_SELECT,MenuItemSelectHandler);\/\/\u5f53\u67d0\u4e2a\u9009\u62e9\u9879\u89e6\u53d1\u65f6e.currentTarget.caption;\u5f97\u5230\u76f8\u5e94\u7684caption
\n———————————————————–
\n\u7f13\u52a8\u548c\u5f39\u6027<\/p>\n
\u7b80\u5355\u7f13\u52a8\uff1a
\n\/\/ \u957f\u5f62
\nvar dx:Number = targetX – sprite.x;
\nvar dy:Number = targetY – sprite.y;
\nvx = dx * easing;
\nvy = dy * easing;
\nsprite.x += vx;
\nsprite.y += vy;
\n\/\/ \u4e2d\u5f62
\nvx = (targetX – sprite.x) * easing;
\nvy = (targetY – sprite.y) * easing;
\nsprite.x += vx;
\nsprite.y += vy;
\n\/\/ \u77ed\u5f62
\nsprite.x += (targetX – sprite.x) * easing;
\nsprite.y += (targetY – sprite.y) * easing;<\/p>\n
\u7b80\u5355\u5f39\u6027\uff1a
\nvar ax:Number = (targetX – sprite.x) * spring;
\nvar ay:Number = (targetY – sprite.y) * spring;
\nvx += ax;
\nvy += ay;
\nvx *= friction;
\nvy *= friction;
\nsprite.x += vx;
\nsprite.y += vy;
\n\/\/ \u7b80\u5316
\nvx += (targetX – sprite.x) * spring;
\nvy += (targetY – sprite.y) * spring;
\nsprite.x += (vx *= friction);
\nsprite.y += (vy *= friction);<\/p>\n
\u504f\u79fb\u5f39\u6027\u8fd0\u52a8\uff1a
\nvar dx:Number = sprite.x – fixedX;
\nvar dy:Number = sprite.y – fixedY;
\nvar angle:Number = Math.atan2(dy,dx);
\nvar targetX:Number = fixedX + Math.cos(angle) * springLength;
\nvar targetY:Number = fixedY + Math.sin(angle) * springLength;<\/p>\n
\u78b0\u649e\u68c0\u6d4b<\/p>\n
\u8ddd\u79bb\u78b0\u649e\u68c0\u6d4b\uff1a
\n\/\/\u4ecespriteA \u548c spriteB\u5f00\u59cb\uff0c\u5982\u679c\u4f7f\u7528\u4e00\u4e2a\u7a7a\u767d\u5f71\u7247\uff0c\u6216\u5f71\u7247\u6ca1\u6709\u534a\u5f84\uff08radius\uff09\u5c5e\u6027
\n\/\/\u53ef\u4ee5\u7528\u9ad8\u5ea6\u4e0e\u5bbd\u5ea6\u9664\u4ee52
\nvar dx:Number = spriteB.x – spriteA.x;
\nvar dy:Number = spriteB.y – spriteA.y;
\nvar dist:Number = Math.sqrt(dx*dx + dy*dy);
\nif (dist < spriteA.randius + spriteB.radius) {
\n\/\/\u5904\u7406\u78b0\u649e
\n}<\/p>\n
\u591a\u7269\u4f53\u78b0\u649e\u68c0\u6d4b\uff1a
\nvar numObjects:uint = 10;
\nfor (var i :uint = 0; i < numObjects -1; i++) {
\nvar objectA = object[i ];
\nfor (var j :uint = 0; i < numObjects; j++) {
\nvar objectB = object[j ];
\n\/\/ \u5728 objectA \u4e0e objectB \u4e4b\u95f4\u8fdb\u884c\u78b0\u649e\u68c0\u6d4b
\n}
\n}<\/p>\n
\u5750\u6807\u65cb\u8f6c\u548c\u89d2\u5ea6\u56de\u5f39<\/p>\n
\u5750\u6807\u65cb\u8f6c\uff1a
\nx1 = Math.cos(angle) * x – Math.sin(angle) * y;
\ny1 = Math.sin(angle) * y + Math.cos(angle) * x;<\/p>\n
\u53cd\u5750\u6807\u65cb\u8f6c\uff1a
\nx1 = Math.cos(angle) * y + Math.sin(angle) * y;
\ny1 = Math.cos(angle) * y – Math.sin(angle) * y;<\/p>\n
\u649e\u7403\u7269\u7406<\/p>\n
\u52a8\u91cf\uff1ap = m * v
\n\u52a8\u91cf\u5b88\u6052\uff1a\uff08m0 * v0) + (m1 * v1) = (m0 * v0Final) + (m1 * v1Final)
\n\u52a8\u80fd\uff1aKE = 0.5 * m * v\u00b2
\n\u52a8\u80fd\u5b88\u6052\uff1a(0. 5 * m0 * v0\u00b2) + (0.5 * m1 * v1\u00b2) = (0.5 * m0 * v0Final\u00b2) + (0.5 * m1 * v1Final\u00b2)<\/p>\n
\u52a8\u91cf\u5b88\u6052\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\uff1a
\nv0Final = ((m0 – m1) * v0 + 2 * m1 * v1 ) \/ (m0 + m1)
\nv1Final = ((m1 – m0) * v1 + 2 * m0 * v0 ) \/ (m0 + m1)<\/p>\n
\u52a8\u91cf\u5b88\u6052\u7684ActionScript\u8868\u8fbe\u5f0f\uff1a
\nvar vxTotal:Number = vx0 – vx1;
\nvx0 = ((ball0.mass – ball1.mass) * vx0 + 2 * ball1.mass * vx1 ) \/ (ball0.mass + ball1.mass);
\nvx1 = vxTotal + vx0;<\/p>\n
\u7c92\u5b50(Particles)\u5f15\u529b\u548c\u91cd\u529b<\/p>\n
\u5f15\u529b\u7684\u4e00\u822c\u516c\u5f0f\uff1a
\nforce = G * m1 * m2 \/ distance\u00b2<\/p>\n
ActionScript \u5b9e\u73b0\u4e07\u6709\u5f15\u529b\uff1a
\nfunction gravitate ( partA:Ball, partB:Ball): void
\n{
\nvar dx:Number = partB.x – partA.x;
\nvar dy:Number = partB.y – partA.y;
\nvar distSQ:Number = dx * dx + dy * dy;
\nvar dist:Number = Math.sqrt(distSQ );
\nvar force:Number = partA.mass * partB.mass \/ distSQ;
\nvar ax:Number = force * dx \/ dist;
\nvar ay:Number = force * dy \/ dist;
\npartA.vx += ax \/ partA.mass;
\npartA.vy += ay \/ partA.mass;
\npartB.vx -= ax \/ partB.mass;
\npartB.vy -= ay \/ partB.mass;
\n}
\n————————————————————
\n\u901f\u5ea6\u4e0e\u52a0\u901f\u5ea6<\/p>\n
\u89d2\u901f\u5ea6\u8f6c\u6362\u4e3ax,y\u901f\u5ea6\u5411\u91cf\uff1a
\nvx = speed * Math.cos(angle);
\nvy = speed * Math.sin(angle);<\/p>\n
\u89d2\u52a0\u901f\u5ea6\uff08\u4f5c\u7528\u4e8e\u7269\u4f53\u4e0a\u7684force\uff09\u8f6c\u6362\u4e3ax,y\u52a0\u901f\u5ea6\uff1a
\nax = force * Math.cos(angle);
\nay = force * Math.sin(angle);<\/p>\n
\u5c06\u52a0\u901f\u5ea6\u52a0\u5165\u901f\u5ea6\u5411\u91cf\uff1a
\nvx += ax;
\nvy += ay;<\/p>\n
\u5c06\u901f\u5ea6\u5411\u91cf\u52a0\u5165\u5750\u6807\uff1a
\nsprite.x += vx;
\nsprite.y += vy;<\/p>\n
\u8fb9\u754c\u4e0e\u6469\u64e6\u529b<\/p>\n
\u5904\u7406\u51fa\u754c\u5bf9\u8c61\uff1a
\nif ( sprite.x – sprite.width \/ 2 > right ||
\nsprite.x +sprite.width \/ 2 < left ||
\nsprite.y – sprite.height \/ 2 > bottom ||
\nsprite.y + sprite.height \/ 2 < top )
\n{
\n\/\/ \u79fb\u9664\u5bf9\u8c61\u4ee3\u7801\uff08\u6216 \u91cd\u7f6e\u5bf9\u8c61\u4ee3\u7801\uff09
\n}<\/p>\n
\u5c4f\u5e55\u73af\u7ed5\u51fa\u754c\u5bf9\u8c61\uff1a
\nif ( sprite.x – sprite.width \/ 2 > right ) {
\nsprite.x = left \u2013 sprite.width \/ 2;
\n} else if ( sprite.x + sprite.width \/ 2 < left ) {
\nsprite.x = right + sprite.width \/ 2;
\n}
\nif ( sprite.y – sprite.height \/ 2 > bottom ) {
\nsprite.y = top \u2013 sprite.height \/ 2;
\n}else if ( sprite.y + sprite.height \/ 2 < top ) {
\nsprite.y = sprite.y + sprite.height \/ 2;
\n}<\/p>\n
\u6469\u64e6\u529b\u5e94\u7528\uff08\u6b63\u786e\u65b9\u6cd5\uff09\uff1a
\nspeed = Math.sqrt ( vx*vx + vy*vy );
\nangle = Math.atan2 ( vy,vx );
\nif ( speed > friction ) {
\nspeed -= friction;
\n} else {
\nspeed = 0;
\n}
\nvx = Math.cos(angle) * speed;
\nvy = Math.sin(angle) * speed;<\/p>\n
\u6469\u64e6\u529b\u5e94\u7528\uff08\u7b80\u4fbf\u65b9\u6cd5\uff09\uff1a
\nvx *= friction;
\nvy *= friction;<\/p>\n
\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2013
\n\u7f13\u52a8\u516c\u5f0f:<\/p>\n
sprite.x += (targetX \u2013 sprite.x) * easing;\/\/easing\u4e3a\u7f13\u52a8\u7cfb\u6570\u53d8\u91cf<\/p>\n
sprite.y += (targetY \u2013 sprite.y) * easing;<\/p>\n
\u5f39\u6027\u516c\u5f0f:<\/p>\n
vx += (targetX \u2013 sprite.x) * spring;\/\/spring\u4e3a\u5f39\u6027\u7cfb\u6570<\/p>\n
vy += (targetY \u2013 sprite.y) * spring;<\/p>\n
sprite.x += (vx *= friction);\/\/friction\u4e3a\u6469\u64e6\u529b<\/p>\n
sprite.y += (vy *= friction); \u504f\u79fb\u5f39\u6027\u516c\u5f0f:<\/p>\n
var dx:Number = sprite.x \u2013 fixedX;<\/p>\n
var dy:Number = sprite.y \u2013 fixedY;<\/p>\n
var angle:Number = Math.atan2(dy, dx);<\/p>\n
var targetX:Number = fixedX + Math.cos(angle) * springLength;<\/p>\n
var targetY:Number = fixedX + Math.sin(angle) * springLength;<\/p>\n
\u5411\u9f20\u6807\u65cb\u8f6c(\u6216\u5411\u67d0\u70b9\u65cb\u8f6c)<\/p>\n
dx = mouseX \u2013 sprite.x; dy = mouseY \u2013 sprite.y;<\/p>\n
sprite.rotation = Math.atan2(dy, dx) * 180 \/ Math.PI;<\/p>\n
\u6ce2\u5f62\u8fd0\u52a8:<\/p>\n
public function onEnterFrame1(event:Event):void {<\/p>\n
ball.y=centerScale+Math.sin(angle)*range;<\/p>\n
angle+=speed;<\/p>\n
}<\/p>\n
\u5fc3\u8df3:<\/p>\n
public function onEnterFrame1(event:Event):void {<\/p>\n
ball.scaleX=centerScale+Math.sin(angle)*range;<\/p>\n
ball.scaleY=centerScale+Math.sin(angle)*range;<\/p>\n
angle+=speed;<\/p>\n
}<\/p>\n
\u5706\u5fc3\u65cb\u8f6c:<\/p>\n
public function onEnterFrame(event:Event):void {<\/p>\n
ball.x=centerX+Math.cos(angle)*radius;<\/p>\n
ball.y=centerY+Math.sin(angle)*radius;<\/p>\n
angle+=speed;<\/p>\n
}<\/p>\n
\u692d\u5706\u65cb\u8f6c:<\/p>\n
public function onEnterFrame(event:Event):void {<\/p>\n
ball.x=centerX+Math.cos(angle)*radiusX;<\/p>\n
ball.y=centerY+Math.sin(angle)*radiusY;<\/p>\n
angle+=speed;<\/p>\n
}<\/p>\n
\u989c\u8272\u8fd0\u7b97\u5f97\u5230\u900f\u660e\u503c:<\/p>\n
var t:uint=0x77ff8877<\/p>\n
var s:uint=0xff000000<\/p>\n
var h:uint=t&s<\/p>\n
var m:uint=h>>>24 trace(m)<\/p>\n
\u8f6c\u6362\u4e3a\u5341\u8fdb\u5236:<\/p>\n
trace(hexValue);<\/p>\n
\u5341\u8fdb\u5236\u8f6c\u6362\u4e3a\u5341\u516d\u8fdb\u5236:<\/p>\n
decimalValue.toString(16)<\/p>\n
\u989c\u8272\u63d0\u53d6:<\/p>\n
red = color24 >> 16;<\/p>\n
green = color24 >> 8 & 0xFF;<\/p>\n
blue = color24 & 0xFF;<\/p>\n
alpha = color32 >> 24;<\/p>\n
red = color32 >> 16 & 0xFF;<\/p>\n
green = color32 >> 8 & 0xFF;<\/p>\n
blue = color232 & 0xFF;<\/p>\n
\u6309\u4f4d\u8ba1\u7b97\u5f97\u5230\u989c\u8272\u503c:<\/p>\n
color24 = red << 16 | green << 8 | blue;<\/p>\n
color32 = alpha << 24 | red << 16 | green << 8 | blue;<\/p>\n
\u8fc7\u63a7\u5236\u70b9\u7684\u66f2\u7ebf:<\/p>\n
\/\/ xt, yt is the point you want to draw through \/\/ x0, y0 and x2, y2 are the end points of the curve x1 = xt * 2 \u2013 (x0 + x2) \/ 2; y1 = yt * 2 \u2013 (y0 + y2) \/ 2; moveTo(x0, y0); curveTo(x1, y1, x2, y2);
\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014
\n\u5411\u9f20\u6807\u65cb\u8f6c(\u6216\u5411\u67d0\u70b9\u65cb\u8f6c)
\ndx = mouseX \u2013 sprite.x;
\ndy = mouseY \u2013 sprite.y;
\nsprite.rotation = Math.atan2(dy, dx) * 180 \/ Math.PI;<\/p>\n
\u6ce2\u5f62\u8fd0\u52a8\uff1a
\npublic function onEnterFrame1(event:Event):void {
\nball.y=centerScale+Math.sin(angle)*range;
\nangle+=speed;
\n}<\/p>\n
\u5fc3\u8df3\uff1a
\npublic function onEnterFrame1(event:Event):void {
\nball.scaleX=centerScale+Math.sin(angle)*range;
\nball.scaleY=centerScale+Math.sin(angle)*range;
\nangle+=speed;
\n}<\/p>\n
\u5706\u5fc3\u65cb\u8f6c
\npublic function onEnterFrame(event:Event):void {
\nball.x=centerX+Math.cos(angle)*radius;
\nball.y=centerY+Math.sin(angle)*radius;
\nangle+=speed;
\n}<\/p>\n
\u692d\u5706\u65cb\u8f6c
\npublic function onEnterFrame(event:Event):void {
\nball.x=centerX+Math.cos(angle)*radiusX;
\nball.y=centerY+Math.sin(angle)*radiusY;
\nangle+=speed;
\n}<\/p>\n
\u52fe\u80a1\u5b9a\u7406
\n\u4e24\u4e2a\u70b9\u5750\u6807\u5206\u522b\u4e3ax1,y1\u548cx2,y2\uff0c\u90a3\u4e48\u4e24\u70b9\u95f4\u8ddd\u79bb\u4e3a
\nvar dx:Number = sprite1.x \u2013 sprite2.x;
\nvar dy:Number = sprite1.y \u2013 sprite2.y;
\nvar dist:Number = Math.sqrt(dx * dx + dy * dy);
\n\u6ce8\uff1aMath.sqrt\u662f\u5f00\u5e73\u65b9\u7684\u610f\u601d<\/p>\n
\u753b\u5e03\u4e2d\u968f\u673a\u5750\u6807
\nsprite1.x = Math.random() * stage.stageWidth;
\nsprite1.y = Math.random() * stage.stageHeight;<\/p>\n
\u9f20\u6807\u5230Sprite\u4e4b\u95f4\u8fde\u7ebf
\npublic function onMouseMove(event:MouseEvent):void {
\ngraphics.clear();
\ngraphics.lineStyle(1, 0, 1);
\ngraphics.moveTo(sprite1.x, sprite1.y);
\ngraphics.lineTo(mouseX, mouseY);
\nvar dx:Number=sprite1.x-mouseX;
\nvar dy:Number=sprite1.y-mouseY;
\nvar dist:Number=int(Math.sqrt(dx*dx+dy*dy));
\ntextField.text=dist.toString();
\n}<\/p>\n
————————————————————————————————————————————————————————————–<\/p>\n
\u57fa\u672c\u4e09\u89d2\u51fd\u6570\u7684\u8ba1\u7b97\uff1a
\n\u89d2\u7684\u6b63\u5f26\u503c = \u5bf9\u8fb9 \/ \u659c\u8fb9
\n\u89d2\u7684\u4f59\u5f26\u503c = \u90bb\u8fb9 \/ \u659c\u8fb9
\n\u89d2\u7684\u6b63\u5207\u503c = \u5bf9\u8fb9 \/ \u90bb\u8fb9<\/p>\n
\u89d2\u5ea6\u5236\u4e0e\u5f27\u5ea6\u5236\u7684\u76f8\u4e92\u8f6c\u6362\uff1a
\n\u5f27\u5ea6 = \u89d2\u5ea6 * Math.PI \/ 180
\n\u89d2\u5ea6 = \u5f27\u5ea6 * 180 \/ Math.PI<\/p>\n
\u8ba1\u7b97\u4e24\u70b9\u95f4\u8ddd\u79bb\uff1a
\ndx = x2 \u2013 x1;
\ndy = y2 \u2013 y1;
\ndist = Math.sqrt(dx*dx + dy*dy);<\/p>\n
\u7f13\u52a8\u516c\u5f0f:
\nsprite.x += (targetX – sprite.x) * easing;\/\/easing\u4e3a\u7f13\u52a8\u7cfb\u6570\u53d8\u91cf
\nsprite.y += (targetY – sprite.y) * easing;<\/p>\n
\u5f39\u6027\u516c\u5f0f:
\nvx += (targetX – sprite.x) * spring;\/\/spring\u4e3a\u5f39\u6027\u7cfb\u6570
\nvy += (targetY – sprite.y) * spring;
\nsprite.x += (vx *= friction);\/\/friction\u4e3a\u6469\u64e6\u529b
\nsprite.y += (vy *= friction);<\/p>\n
\u504f\u79fb\u5f39\u6027\u516c\u5f0f:
\nvar dx:Number = sprite.x – fixedX;
\nvar dy:Number = sprite.y – fixedY;
\nvar angle:Number = Math.atan2(dy, dx);
\nvar targetX:Number = fixedX + Math.cos(angle) * springLength;
\nvar targetY:Number = fixedX + Math.sin(angle) * springLength;<\/p>\n
\u5411\u9f20\u6807\u65cb\u8f6c(\u6216\u5411\u67d0\u70b9\u65cb\u8f6c)
\ndx = mouseX – sprite.x;
\ndy = mouseY – sprite.y;
\nsprite.rotation = Math.atan2(dy, dx) * 180 \/ Math.PI;<\/p>\n
\u6ce2\u5f62\u8fd0\u52a8:
\npublic function onEnterFrame1(event:Event):void {
\nball.y=centerScale+Math.sin(angle)*range;
\nangle+=speed;
\n}<\/p>\n
\u5fc3\u8df3:
\npublic function onEnterFrame1(event:Event):void {
\nball.scaleX=centerScale+Math.sin(angle)*range;
\nball.scaleY=centerScale+Math.sin(angle)*range;
\nangle+=speed;
\n}<\/p>\n
\u5706\u5fc3\u65cb\u8f6c:
\npublic function onEnterFrame(event:Event):void {
\nball.x=centerX+Math.cos(angle)*radius;
\nball.y=centerY+Math.sin(angle)*radius;
\nangle+=speed;
\n}<\/p>\n
\u692d\u5706\u65cb\u8f6c:
\npublic function onEnterFrame(event:Event):void {
\nball.x=centerX+Math.cos(angle)*radiusX;
\nball.y=centerY+Math.sin(angle)*radiusY;
\nangle+=speed;
\n}<\/p>\n
\u989c\u8272\u8fd0\u7b97\u5f97\u5230\u900f\u660e\u503c:
\nvar t:uint=0\u00d777ff8877
\nvar s:uint=0xff000000
\nvar h:uint=t&s
\nvar m:uint=h>>>24
\ntrace(m)<\/p>\n
\u8f6c\u6362\u4e3a\u5341\u8fdb\u5236:
\ntrace(hexValue);
\n\u5341\u8fdb\u5236\u8f6c\u6362\u4e3a\u5341\u516d\u8fdb\u5236:
\ndecimalValue.toString(16)<\/p>\n
\u989c\u8272\u63d0\u53d6:
\nred = color24 >> 16;
\ngreen = color24 >> 8 & 0xFF;
\nblue = color24 & 0xFF;
\nalpha = color32 >> 24;
\nred = color32 >> 16 & 0xFF;
\ngreen = color32 >> 8 & 0xFF;
\nblue = color232 & 0xFF;<\/p>\n
\u6309\u4f4d\u8ba1\u7b97\u5f97\u5230\u989c\u8272\u503c:
\ncolor24 = red << 16 | green << 8 | blue;
\ncolor32 = alpha << 24 | red << 16 | green << 8 | blue;<\/p>\n
\u8fc7\u63a7\u5236\u70b9\u7684\u66f2\u7ebf:
\n\/\/ xt, yt\u662f\u4f60\u60f3\u8981\u8ba9\u66f2\u7ebf\u901a\u8fc7\u7684\u90a3\u4e00\u70b9
\n\/\/ x0, y0 \u548cx2, y2 \u662f\u66f2\u7ebf\u7684\u7ec8\u70b9
\n\/\/PS.\u53d1\u73b0\u5f88\u591a\u4eba\u8f6c\u5e16\u90fd\u662f\u76f4\u63a5\u590d\u5236\u7c98\u8d34\uff0c\u4e5f\u4e0d\u7ffb\u8bd1\u4e00\u4e0b
\nxt * 2 \u2013 (x0 + x2) \/ 2;
\ny1 = yt * 2 \u2013 (y0 + y2) \/ 2;
\nmoveTo(x0, y0);
\ncurveTo(x1, y1, x2, y2);<\/p>\n
\/\/ \u91cd\u7f6e\u5f71\u7247\u7684\u4f4d\u7f6e\u548c\u901f\u5ea6<\/p>\n
if(sprite.x – sprite.width \/ 2 > right || sprite.x + sprite.width \/ 2 < left || sprite.y \u2013 sprite.height \/ 2 > bottom || sprite.y + sprite.height \/ 2 < top){ }<\/p>\n
\u6469\u64e6\u529b\u5e94\u7528(\u6b63\u786e\u65b9\u6cd5)\uff1a<\/p>\n
DE>speed = Math.sqrt(vx * vx + vy * vy); DE>
\nDE>angle = Math.atan2(vy, vx); DE>
\nDE>ifDE>DE>(speed > friction){ DE>
\nDE>speed -= friction; DE>
\nDE>}DE>DE>elseDE>DE>{ DE>
\nDE>speed = 0; DE>
\nDE>} DE>
\nDE>vx = Math.cos(angle) * speed; DE>
\nDE>vy = Math.sin(angle) * speed;DE><\/p>\n
\u6469\u64e6\u529b\u5e94\u7528(\u7b80\u4fbf\u65b9\u6cd5)\uff1a<\/p>\n
DE>vx *= friction; DE>
\nDE>vy *= friction;
\n\u5750\u6807\u65cb\u8f6c\uff1a
\nx1 = Math.cos(angle) * x – Math.sin(angle) * y; y1 = Math.cos(angle) * y + Math.sin(angle) * x;
\nDE><\/p>\n
\u53cd\u5750\u6807\u65cb\u8f6c\uff1a<\/p>\n
DE>1.DE>DE>x1 = Math.cos(angle) * x + Math.sin(angle) * y; DE>
\nDE>2.DE>DE>y1 = Math.cos(angle) * y – Math.sin(angle) * x;DE><\/p>\n
——————————————————————–<\/p>\n
\u51e0\u4f55\u516c\u5f0f\u548c\u5b9a\u7406\uff08\u521d\u4e2d\uff09\u4e00\u4e9b\u5e38\u7528\u6570\u5b66\u516c\u5f0f
\n1 \u8fc7\u4e24\u70b9\u6709\u4e14\u53ea\u6709\u4e00\u6761\u76f4\u7ebf
\n2 \u4e24\u70b9\u4e4b\u95f4\u7ebf\u6bb5\u6700\u77ed
\n3 \u540c\u89d2\u6216\u7b49\u89d2\u7684\u8865\u89d2\u76f8\u7b49
\n4 \u540c\u89d2\u6216\u7b49\u89d2\u7684\u4f59\u89d2\u76f8\u7b49
\n5 \u8fc7\u4e00\u70b9\u6709\u4e14\u53ea\u6709\u4e00\u6761\u76f4\u7ebf\u548c\u5df2\u77e5\u76f4\u7ebf\u5782\u76f4
\n6 \u76f4\u7ebf\u5916\u4e00\u70b9\u4e0e\u76f4\u7ebf\u4e0a\u5404\u70b9\u8fde\u63a5\u7684\u6240\u6709\u7ebf\u6bb5\u4e2d\uff0c\u5782\u7ebf\u6bb5\u6700\u77ed
\n7 \u5e73\u884c\u516c\u7406 \u7ecf\u8fc7\u76f4\u7ebf\u5916\u4e00\u70b9\uff0c\u6709\u4e14\u53ea\u6709\u4e00\u6761\u76f4\u7ebf\u4e0e\u8fd9\u6761\u76f4\u7ebf\u5e73\u884c
\n8 \u5982\u679c\u4e24\u6761\u76f4\u7ebf\u90fd\u548c\u7b2c\u4e09\u6761\u76f4\u7ebf\u5e73\u884c\uff0c\u8fd9\u4e24\u6761\u76f4\u7ebf\u4e5f\u4e92\u76f8\u5e73\u884c
\n9 \u540c\u4f4d\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c
\n10 \u5185\u9519\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c
\n11 \u540c\u65c1\u5185\u89d2\u4e92\u8865\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c
\n12\u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u540c\u4f4d\u89d2\u76f8\u7b49
\n13 \u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u5185\u9519\u89d2\u76f8\u7b49
\n14 \u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u540c\u65c1\u5185\u89d2\u4e92\u8865
\n15 \u5b9a\u7406 \u4e09\u89d2\u5f62\u4e24\u8fb9\u7684\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9
\n16 \u63a8\u8bba \u4e09\u89d2\u5f62\u4e24\u8fb9\u7684\u5dee\u5c0f\u4e8e\u7b2c\u4e09\u8fb9
\n17 \u4e09\u89d2\u5f62\u5185\u89d2\u548c\u5b9a\u7406 \u4e09\u89d2\u5f62\u4e09\u4e2a\u5185\u89d2\u7684\u548c\u7b49\u4e8e180\u00b0
\n18 \u63a8\u8bba1 \u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e24\u4e2a\u9510\u89d2\u4e92\u4f59
\n19 \u63a8\u8bba2 \u4e09\u89d2\u5f62\u7684\u4e00\u4e2a\u5916\u89d2\u7b49\u4e8e\u548c\u5b83\u4e0d\u76f8\u90bb\u7684\u4e24\u4e2a\u5185\u89d2\u7684\u548c
\n20 \u63a8\u8bba3 \u4e09\u89d2\u5f62\u7684\u4e00\u4e2a\u5916\u89d2\u5927\u4e8e\u4efb\u4f55\u4e00\u4e2a\u548c\u5b83\u4e0d\u76f8\u90bb\u7684\u5185\u89d2
\n21 \u5168\u7b49\u4e09\u89d2\u5f62\u7684\u5bf9\u5e94\u8fb9\u3001\u5bf9\u5e94\u89d2\u76f8\u7b49
\n22\u8fb9\u89d2\u8fb9\u516c\u7406(SAS) \u6709\u4e24\u8fb9\u548c\u5b83\u4eec\u7684\u5939\u89d2\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
\n23 \u89d2\u8fb9\u89d2\u516c\u7406( ASA)\u6709\u4e24\u89d2\u548c\u5b83\u4eec\u7684\u5939\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
\n24 \u63a8\u8bba(AAS) \u6709\u4e24\u89d2\u548c\u5176\u4e2d\u4e00\u89d2\u7684\u5bf9\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
\n25 \u8fb9\u8fb9\u8fb9\u516c\u7406(SSS) \u6709\u4e09\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
\n26 \u659c\u8fb9\u3001\u76f4\u89d2\u8fb9\u516c\u7406(HL) \u6709\u659c\u8fb9\u548c\u4e00\u6761\u76f4\u89d2\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u5168\u7b49
\n27 \u5b9a\u74061 \u5728\u89d2\u7684\u5e73\u5206\u7ebf\u4e0a\u7684\u70b9\u5230\u8fd9\u4e2a\u89d2\u7684\u4e24\u8fb9\u7684\u8ddd\u79bb\u76f8\u7b49
\n28 \u5b9a\u74062 \u5230\u4e00\u4e2a\u89d2\u7684\u4e24\u8fb9\u7684\u8ddd\u79bb\u76f8\u540c\u7684\u70b9\uff0c\u5728\u8fd9\u4e2a\u89d2\u7684\u5e73\u5206\u7ebf\u4e0a
\n29 \u89d2\u7684\u5e73\u5206\u7ebf\u662f\u5230\u89d2\u7684\u4e24\u8fb9\u8ddd\u79bb\u76f8\u7b49\u7684\u6240\u6709\u70b9\u7684\u96c6\u5408
\n30 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u6027\u8d28\u5b9a\u7406 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u4e24\u4e2a\u5e95\u89d2\u76f8\u7b49 (\u5373\u7b49\u8fb9\u5bf9\u7b49\u89d2\uff09
\n31 \u63a8\u8bba1 \u7b49\u8170\u4e09\u89d2\u5f62\u9876\u89d2\u7684\u5e73\u5206\u7ebf\u5e73\u5206\u5e95\u8fb9\u5e76\u4e14\u5782\u76f4\u4e8e\u5e95\u8fb9
\n32 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9876\u89d2\u5e73\u5206\u7ebf\u3001\u5e95\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u548c\u5e95\u8fb9\u4e0a\u7684\u9ad8\u4e92\u76f8\u91cd\u5408
\n33 \u63a8\u8bba3 \u7b49\u8fb9\u4e09\u89d2\u5f62\u7684\u5404\u89d2\u90fd\u76f8\u7b49\uff0c\u5e76\u4e14\u6bcf\u4e00\u4e2a\u89d2\u90fd\u7b49\u4e8e60\u00b0
\n34 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u5224\u5b9a\u5b9a\u7406 \u5982\u679c\u4e00\u4e2a\u4e09\u89d2\u5f62\u6709\u4e24\u4e2a\u89d2\u76f8\u7b49\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u89d2\u6240\u5bf9\u7684\u8fb9\u4e5f\u76f8\u7b49\uff08\u7b49\u89d2\u5bf9\u7b49\u8fb9\uff09
\n35 \u63a8\u8bba1 \u4e09\u4e2a\u89d2\u90fd\u76f8\u7b49\u7684\u4e09\u89d2\u5f62\u662f\u7b49\u8fb9\u4e09\u89d2\u5f62
\n36 \u63a8\u8bba 2 \u6709\u4e00\u4e2a\u89d2\u7b49\u4e8e60\u00b0\u7684\u7b49\u8170\u4e09\u89d2\u5f62\u662f\u7b49\u8fb9\u4e09\u89d2\u5f62
\n37 \u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u5982\u679c\u4e00\u4e2a\u9510\u89d2\u7b49\u4e8e30\u00b0\u90a3\u4e48\u5b83\u6240\u5bf9\u7684\u76f4\u89d2\u8fb9\u7b49\u4e8e\u659c\u8fb9\u7684\u4e00\u534a
\n38 \u76f4\u89d2\u4e09\u89d2\u5f62\u659c\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u7b49\u4e8e\u659c\u8fb9\u4e0a\u7684\u4e00\u534a
\n39 \u5b9a\u7406 \u7ebf\u6bb5\u5782\u76f4\u5e73\u5206\u7ebf\u4e0a\u7684\u70b9\u548c\u8fd9\u6761\u7ebf\u6bb5\u4e24\u4e2a\u7aef\u70b9\u7684\u8ddd\u79bb\u76f8\u7b49
\n40 \u9006\u5b9a\u7406 \u548c\u4e00\u6761\u7ebf\u6bb5\u4e24\u4e2a\u7aef\u70b9\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\uff0c\u5728\u8fd9\u6761\u7ebf\u6bb5\u7684\u5782\u76f4\u5e73\u5206\u7ebf\u4e0a
\n41 \u7ebf\u6bb5\u7684\u5782\u76f4\u5e73\u5206\u7ebf\u53ef\u770b\u4f5c\u548c\u7ebf\u6bb5\u4e24\u7aef\u70b9\u8ddd\u79bb\u76f8\u7b49\u7684\u6240\u6709\u70b9\u7684\u96c6\u5408
\n42 \u5b9a\u74061 \u5173\u4e8e\u67d0\u6761\u76f4\u7ebf\u5bf9\u79f0\u7684\u4e24\u4e2a\u56fe\u5f62\u662f\u5168\u7b49\u5f62
\n43 \u5b9a\u7406 2 \u5982\u679c\u4e24\u4e2a\u56fe\u5f62\u5173\u4e8e\u67d0\u76f4\u7ebf\u5bf9\u79f0\uff0c\u90a3\u4e48\u5bf9\u79f0\u8f74\u662f\u5bf9\u5e94\u70b9\u8fde\u7ebf\u7684\u5782\u76f4\u5e73\u5206\u7ebf
\n44\u5b9a\u74063 \u4e24\u4e2a\u56fe\u5f62\u5173\u4e8e\u67d0\u76f4\u7ebf\u5bf9\u79f0\uff0c\u5982\u679c\u5b83\u4eec\u7684\u5bf9\u5e94\u7ebf\u6bb5\u6216\u5ef6\u957f\u7ebf\u76f8\u4ea4\uff0c\u90a3\u4e48\u4ea4\u70b9\u5728\u5bf9\u79f0\u8f74\u4e0a
\n45\u9006\u5b9a\u7406 \u5982\u679c\u4e24\u4e2a\u56fe\u5f62\u7684\u5bf9\u5e94\u70b9\u8fde\u7ebf\u88ab\u540c\u4e00\u6761\u76f4\u7ebf\u5782\u76f4\u5e73\u5206\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u56fe\u5f62\u5173\u4e8e\u8fd9\u6761\u76f4\u7ebf\u5bf9\u79f0
\n46\u52fe\u80a1\u5b9a\u7406 \u76f4\u89d2\u4e09\u89d2\u5f62\u4e24\u76f4\u89d2\u8fb9a\u3001b\u7684\u5e73\u65b9\u548c\u3001\u7b49\u4e8e\u659c\u8fb9c\u7684\u5e73\u65b9\uff0c\u5373a^2+b^2=c^2
\n47\u52fe\u80a1\u5b9a\u7406\u7684\u9006\u5b9a\u7406 \u5982\u679c\u4e09\u89d2\u5f62\u7684\u4e09\u8fb9\u957fa\u3001b\u3001c\u6709\u5173\u7cfba^2+b^2=c^2 \uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u662f\u76f4\u89d2\u4e09\u89d2\u5f62
\n48\u5b9a\u7406 \u56db\u8fb9\u5f62\u7684\u5185\u89d2\u548c\u7b49\u4e8e360\u00b0
\n49\u56db\u8fb9\u5f62\u7684\u5916\u89d2\u548c\u7b49\u4e8e360\u00b0
\n50\u591a\u8fb9\u5f62\u5185\u89d2\u548c\u5b9a\u7406 n\u8fb9\u5f62\u7684\u5185\u89d2\u7684\u548c\u7b49\u4e8e\uff08n-2\uff09\u00d7180\u00b0
\n51\u63a8\u8bba \u4efb\u610f\u591a\u8fb9\u7684\u5916\u89d2\u548c\u7b49\u4e8e360\u00b0
\n52\u5e73\u884c\u56db\u8fb9\u5f62\u6027\u8d28\u5b9a\u74061 \u5e73\u884c\u56db\u8fb9\u5f62\u7684\u5bf9\u89d2\u76f8\u7b49
\n53\u5e73\u884c\u56db\u8fb9\u5f62\u6027\u8d28\u5b9a\u74062 \u5e73\u884c\u56db\u8fb9\u5f62\u7684\u5bf9\u8fb9\u76f8\u7b49
\n54\u63a8\u8bba \u5939\u5728\u4e24\u6761\u5e73\u884c\u7ebf\u95f4\u7684\u5e73\u884c\u7ebf\u6bb5\u76f8\u7b49
\n55\u5e73\u884c\u56db\u8fb9\u5f62\u6027\u8d28\u5b9a\u74063 \u5e73\u884c\u56db\u8fb9\u5f62\u7684\u5bf9\u89d2\u7ebf\u4e92\u76f8\u5e73\u5206
\n56\u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u74061 \u4e24\u7ec4\u5bf9\u89d2\u5206\u522b\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
\n57\u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u74062 \u4e24\u7ec4\u5bf9\u8fb9\u5206\u522b\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
\n58\u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u74063 \u5bf9\u89d2\u7ebf\u4e92\u76f8\u5e73\u5206\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
\n59\u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u74064 \u4e00\u7ec4\u5bf9\u8fb9\u5e73\u884c\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
\n60\u77e9\u5f62\u6027\u8d28\u5b9a\u74061 \u77e9\u5f62\u7684\u56db\u4e2a\u89d2\u90fd\u662f\u76f4\u89d2
\n61\u77e9\u5f62\u6027\u8d28\u5b9a\u74062 \u77e9\u5f62\u7684\u5bf9\u89d2\u7ebf\u76f8\u7b49
\n62\u77e9\u5f62\u5224\u5b9a\u5b9a\u74061 \u6709\u4e09\u4e2a\u89d2\u662f\u76f4\u89d2\u7684\u56db\u8fb9\u5f62\u662f\u77e9\u5f62
\n63\u77e9\u5f62\u5224\u5b9a\u5b9a\u74062 \u5bf9\u89d2\u7ebf\u76f8\u7b49\u7684\u5e73\u884c\u56db\u8fb9\u5f62\u662f\u77e9\u5f62
\n64\u83f1\u5f62\u6027\u8d28\u5b9a\u74061 \u83f1\u5f62\u7684\u56db\u6761\u8fb9\u90fd\u76f8\u7b49
\n65\u83f1\u5f62\u6027\u8d28\u5b9a\u74062 \u83f1\u5f62\u7684\u5bf9\u89d2\u7ebf\u4e92\u76f8\u5782\u76f4\uff0c\u5e76\u4e14\u6bcf\u4e00\u6761\u5bf9\u89d2\u7ebf\u5e73\u5206\u4e00\u7ec4\u5bf9\u89d2
\n66\u83f1\u5f62\u9762\u79ef=\u5bf9\u89d2\u7ebf\u4e58\u79ef\u7684\u4e00\u534a\uff0c\u5373S=\uff08a\u00d7b\uff09\u00f72
\n67\u83f1\u5f62\u5224\u5b9a\u5b9a\u74061 \u56db\u8fb9\u90fd\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u83f1\u5f62
\n68\u83f1\u5f62\u5224\u5b9a\u5b9a\u74062 \u5bf9\u89d2\u7ebf\u4e92\u76f8\u5782\u76f4\u7684\u5e73\u884c\u56db\u8fb9\u5f62\u662f\u83f1\u5f62
\n69\u6b63\u65b9\u5f62\u6027\u8d28\u5b9a\u74061 \u6b63\u65b9\u5f62\u7684\u56db\u4e2a\u89d2\u90fd\u662f\u76f4\u89d2\uff0c\u56db\u6761\u8fb9\u90fd\u76f8\u7b49
\n70\u6b63\u65b9\u5f62\u6027\u8d28\u5b9a\u74062\u6b63\u65b9\u5f62\u7684\u4e24\u6761\u5bf9\u89d2\u7ebf\u76f8\u7b49\uff0c\u5e76\u4e14\u4e92\u76f8\u5782\u76f4\u5e73\u5206\uff0c\u6bcf\u6761\u5bf9\u89d2\u7ebf\u5e73\u5206\u4e00\u7ec4\u5bf9\u89d2
\n71\u5b9a\u74061 \u5173\u4e8e\u4e2d\u5fc3\u5bf9\u79f0\u7684\u4e24\u4e2a\u56fe\u5f62\u662f\u5168\u7b49\u7684
\n72\u5b9a\u74062 \u5173\u4e8e\u4e2d\u5fc3\u5bf9\u79f0\u7684\u4e24\u4e2a\u56fe\u5f62\uff0c\u5bf9\u79f0\u70b9\u8fde\u7ebf\u90fd\u7ecf\u8fc7\u5bf9\u79f0\u4e2d\u5fc3\uff0c\u5e76\u4e14\u88ab\u5bf9\u79f0\u4e2d\u5fc3\u5e73\u5206
\n73\u9006\u5b9a\u7406 \u5982\u679c\u4e24\u4e2a\u56fe\u5f62\u7684\u5bf9\u5e94\u70b9\u8fde\u7ebf\u90fd\u7ecf\u8fc7\u67d0\u4e00\u70b9\uff0c\u5e76\u4e14\u88ab\u8fd9\u4e00
\n\u70b9\u5e73\u5206\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u56fe\u5f62\u5173\u4e8e\u8fd9\u4e00\u70b9\u5bf9\u79f0
\n74\u7b49\u8170\u68af\u5f62\u6027\u8d28\u5b9a\u7406 \u7b49\u8170\u68af\u5f62\u5728\u540c\u4e00\u5e95\u4e0a\u7684\u4e24\u4e2a\u89d2\u76f8\u7b49
\n75\u7b49\u8170\u68af\u5f62\u7684\u4e24\u6761\u5bf9\u89d2\u7ebf\u76f8\u7b49
\n76\u7b49\u8170\u68af\u5f62\u5224\u5b9a\u5b9a\u7406 \u5728\u540c\u4e00\u5e95\u4e0a\u7684\u4e24\u4e2a\u89d2\u76f8\u7b49\u7684\u68af\u5f62\u662f\u7b49\u8170\u68af\u5f62
\n77\u5bf9\u89d2\u7ebf\u76f8\u7b49\u7684\u68af\u5f62\u662f\u7b49\u8170\u68af\u5f62
\n78\u5e73\u884c\u7ebf\u7b49\u5206\u7ebf\u6bb5\u5b9a\u7406 \u5982\u679c\u4e00\u7ec4\u5e73\u884c\u7ebf\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a\u622a\u5f97\u7684\u7ebf\u6bb5
\n\u76f8\u7b49\uff0c\u90a3\u4e48\u5728\u5176\u4ed6\u76f4\u7ebf\u4e0a\u622a\u5f97\u7684\u7ebf\u6bb5\u4e5f\u76f8\u7b49
\n79 \u63a8\u8bba1 \u7ecf\u8fc7\u68af\u5f62\u4e00\u8170\u7684\u4e2d\u70b9\u4e0e\u5e95\u5e73\u884c\u7684\u76f4\u7ebf\uff0c\u5fc5\u5e73\u5206\u53e6\u4e00\u8170
\n80 \u63a8\u8bba2 \u7ecf\u8fc7\u4e09\u89d2\u5f62\u4e00\u8fb9\u7684\u4e2d\u70b9\u4e0e\u53e6\u4e00\u8fb9\u5e73\u884c\u7684\u76f4\u7ebf\uff0c\u5fc5\u5e73\u5206\u7b2c
\n\u4e09\u8fb9
\n81 \u4e09\u89d2\u5f62\u4e2d\u4f4d\u7ebf\u5b9a\u7406 \u4e09\u89d2\u5f62\u7684\u4e2d\u4f4d\u7ebf\u5e73\u884c\u4e8e\u7b2c\u4e09\u8fb9\uff0c\u5e76\u4e14\u7b49\u4e8e\u5b83
\n\u7684\u4e00\u534a
\n82 \u68af\u5f62\u4e2d\u4f4d\u7ebf\u5b9a\u7406 \u68af\u5f62\u7684\u4e2d\u4f4d\u7ebf\u5e73\u884c\u4e8e\u4e24\u5e95\uff0c\u5e76\u4e14\u7b49\u4e8e\u4e24\u5e95\u548c\u7684
\n\u4e00\u534a L=\uff08a+b\uff09\u00f72 S=L\u00d7h
\n83 (1)\u6bd4\u4f8b\u7684\u57fa\u672c\u6027\u8d28 \u5982\u679ca:b=c:d,\u90a3\u4e48ad=bc
\n\u5982\u679cad=bc,\u90a3\u4e48a:b=c:d
\n84 (2)\u5408\u6bd4\u6027\u8d28 \u5982\u679ca\uff0fb=c\uff0fd,\u90a3\u4e48(a\u00b1b)\uff0fb=(c\u00b1d)\uff0fd
\n85 (3)\u7b49\u6bd4\u6027\u8d28 \u5982\u679ca\uff0fb=c\uff0fd=\u2026=m\uff0fn(b+d+\u2026+n\u22600),\u90a3\u4e48
\n(a+c+\u2026+m)\uff0f(b+d+\u2026+n)=a\uff0fb
\n86 \u5e73\u884c\u7ebf\u5206\u7ebf\u6bb5\u6210\u6bd4\u4f8b\u5b9a\u7406 \u4e09\u6761\u5e73\u884c\u7ebf\u622a\u4e24\u6761\u76f4\u7ebf\uff0c\u6240\u5f97\u7684\u5bf9\u5e94
\n\u7ebf\u6bb5\u6210\u6bd4\u4f8b
\n87 \u63a8\u8bba \u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u4e00\u8fb9\u7684\u76f4\u7ebf\u622a\u5176\u4ed6\u4e24\u8fb9\uff08\u6216\u4e24\u8fb9\u7684\u5ef6\u957f\u7ebf\uff09\uff0c\u6240\u5f97\u7684\u5bf9\u5e94\u7ebf\u6bb5\u6210\u6bd4\u4f8b
\n88 \u5b9a\u7406 \u5982\u679c\u4e00\u6761\u76f4\u7ebf\u622a\u4e09\u89d2\u5f62\u7684\u4e24\u8fb9\uff08\u6216\u4e24\u8fb9\u7684\u5ef6\u957f\u7ebf\uff09\u6240\u5f97\u7684\u5bf9\u5e94\u7ebf\u6bb5\u6210\u6bd4\u4f8b\uff0c\u90a3\u4e48\u8fd9\u6761\u76f4\u7ebf\u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u7684\u7b2c\u4e09\u8fb9
\n89 \u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u7684\u4e00\u8fb9\uff0c\u5e76\u4e14\u548c\u5176\u4ed6\u4e24\u8fb9\u76f8\u4ea4\u7684\u76f4\u7ebf\uff0c\u6240\u622a\u5f97\u7684\u4e09\u89d2\u5f62\u7684\u4e09\u8fb9\u4e0e\u539f\u4e09\u89d2\u5f62\u4e09\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b
\n90 \u5b9a\u7406 \u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u4e00\u8fb9\u7684\u76f4\u7ebf\u548c\u5176\u4ed6\u4e24\u8fb9\uff08\u6216\u4e24\u8fb9\u7684\u5ef6\u957f\u7ebf\uff09\u76f8\u4ea4\uff0c\u6240\u6784\u6210\u7684\u4e09\u89d2\u5f62\u4e0e\u539f\u4e09\u89d2\u5f62\u76f8\u4f3c
\n91 \u76f8\u4f3c\u4e09\u89d2\u5f62\u5224\u5b9a\u5b9a\u74061 \u4e24\u89d2\u5bf9\u5e94\u76f8\u7b49\uff0c\u4e24\u4e09\u89d2\u5f62\u76f8\u4f3c\uff08ASA\uff09
\n92 \u76f4\u89d2\u4e09\u89d2\u5f62\u88ab\u659c\u8fb9\u4e0a\u7684\u9ad8\u5206\u6210\u7684\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u548c\u539f\u4e09\u89d2\u5f62\u76f8\u4f3c
\n93 \u5224\u5b9a\u5b9a\u74062 \u4e24\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b\u4e14\u5939\u89d2\u76f8\u7b49\uff0c\u4e24\u4e09\u89d2\u5f62\u76f8\u4f3c\uff08SAS\uff09
\n94 \u5224\u5b9a\u5b9a\u74063 \u4e09\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b\uff0c\u4e24\u4e09\u89d2\u5f62\u76f8\u4f3c\uff08SSS\uff09
\n95 \u5b9a\u7406 \u5982\u679c\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u659c\u8fb9\u548c\u4e00\u6761\u76f4\u89d2\u8fb9\u4e0e\u53e6\u4e00\u4e2a\u76f4\u89d2\u4e09
\n\u89d2\u5f62\u7684\u659c\u8fb9\u548c\u4e00\u6761\u76f4\u89d2\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u76f8\u4f3c
\n96 \u6027\u8d28\u5b9a\u74061 \u76f8\u4f3c\u4e09\u89d2\u5f62\u5bf9\u5e94\u9ad8\u7684\u6bd4\uff0c\u5bf9\u5e94\u4e2d\u7ebf\u7684\u6bd4\u4e0e\u5bf9\u5e94\u89d2\u5e73
\n\u5206\u7ebf\u7684\u6bd4\u90fd\u7b49\u4e8e\u76f8\u4f3c\u6bd4
\n97 \u6027\u8d28\u5b9a\u74062 \u76f8\u4f3c\u4e09\u89d2\u5f62\u5468\u957f\u7684\u6bd4\u7b49\u4e8e\u76f8\u4f3c\u6bd4
\n98 \u6027\u8d28\u5b9a\u74063 \u76f8\u4f3c\u4e09\u89d2\u5f62\u9762\u79ef\u7684\u6bd4\u7b49\u4e8e\u76f8\u4f3c\u6bd4\u7684\u5e73\u65b9
\n99 \u4efb\u610f\u9510\u89d2\u7684\u6b63\u5f26\u503c\u7b49\u4e8e\u5b83\u7684\u4f59\u89d2\u7684\u4f59\u5f26\u503c\uff0c\u4efb\u610f\u9510\u89d2\u7684\u4f59\u5f26\u503c\u7b49
\n\u4e8e\u5b83\u7684\u4f59\u89d2\u7684\u6b63\u5f26\u503c
\n100\u4efb\u610f\u9510\u89d2\u7684\u6b63\u5207\u503c\u7b49\u4e8e\u5b83\u7684\u4f59\u89d2\u7684\u4f59\u5207\u503c\uff0c\u4efb\u610f\u9510\u89d2\u7684\u4f59\u5207\u503c\u7b49
\n\u4e8e\u5b83\u7684\u4f59\u89d2\u7684\u6b63\u5207\u503c
\n101\u5706\u662f\u5b9a\u70b9\u7684\u8ddd\u79bb\u7b49\u4e8e\u5b9a\u957f\u7684\u70b9\u7684\u96c6\u5408
\n102\u5706\u7684\u5185\u90e8\u53ef\u4ee5\u770b\u4f5c\u662f\u5706\u5fc3\u7684\u8ddd\u79bb\u5c0f\u4e8e\u534a\u5f84\u7684\u70b9\u7684\u96c6\u5408
\n103\u5706\u7684\u5916\u90e8\u53ef\u4ee5\u770b\u4f5c\u662f\u5706\u5fc3\u7684\u8ddd\u79bb\u5927\u4e8e\u534a\u5f84\u7684\u70b9\u7684\u96c6\u5408
\n104\u540c\u5706\u6216\u7b49\u5706\u7684\u534a\u5f84\u76f8\u7b49
\n105\u5230\u5b9a\u70b9\u7684\u8ddd\u79bb\u7b49\u4e8e\u5b9a\u957f\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u4ee5\u5b9a\u70b9\u4e3a\u5706\u5fc3\uff0c\u5b9a\u957f\u4e3a\u534a
\n\u5f84\u7684\u5706
\n106\u548c\u5df2\u77e5\u7ebf\u6bb5\u4e24\u4e2a\u7aef\u70b9\u7684\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u7740\u6761\u7ebf\u6bb5\u7684\u5782\u76f4
\n\u5e73\u5206\u7ebf
\n107\u5230\u5df2\u77e5\u89d2\u7684\u4e24\u8fb9\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u8fd9\u4e2a\u89d2\u7684\u5e73\u5206\u7ebf
\n108\u5230\u4e24\u6761\u5e73\u884c\u7ebf\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u548c\u8fd9\u4e24\u6761\u5e73\u884c\u7ebf\u5e73\u884c\u4e14\u8ddd
\n\u79bb\u76f8\u7b49\u7684\u4e00\u6761\u76f4\u7ebf
\n109\u5b9a\u7406 \u4e0d\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\u7684\u4e09\u70b9\u786e\u5b9a\u4e00\u4e2a\u5706\u3002
\n110\u5782\u5f84\u5b9a\u7406 \u5782\u76f4\u4e8e\u5f26\u7684\u76f4\u5f84\u5e73\u5206\u8fd9\u6761\u5f26\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e24\u6761\u5f27
\n111\u63a8\u8bba1 \u2460\u5e73\u5206\u5f26\uff08\u4e0d\u662f\u76f4\u5f84\uff09\u7684\u76f4\u5f84\u5782\u76f4\u4e8e\u5f26\uff0c\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e24\u6761\u5f27
\n\u2461\u5f26\u7684\u5782\u76f4\u5e73\u5206\u7ebf\u7ecf\u8fc7\u5706\u5fc3\uff0c\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e24\u6761\u5f27
\n\u2462\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e00\u6761\u5f27\u7684\u76f4\u5f84\uff0c\u5782\u76f4\u5e73\u5206\u5f26\uff0c\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u53e6\u4e00\u6761\u5f27
\n112\u63a8\u8bba2 \u5706\u7684\u4e24\u6761\u5e73\u884c\u5f26\u6240\u5939\u7684\u5f27\u76f8\u7b49
\n113\u5706\u662f\u4ee5\u5706\u5fc3\u4e3a\u5bf9\u79f0\u4e2d\u5fc3\u7684\u4e2d\u5fc3\u5bf9\u79f0\u56fe\u5f62
\n114\u5b9a\u7406 \u5728\u540c\u5706\u6216\u7b49\u5706\u4e2d\uff0c\u76f8\u7b49\u7684\u5706\u5fc3\u89d2\u6240\u5bf9\u7684\u5f27\u76f8\u7b49\uff0c\u6240\u5bf9\u7684\u5f26
\n\u76f8\u7b49\uff0c\u6240\u5bf9\u7684\u5f26\u7684\u5f26\u5fc3\u8ddd\u76f8\u7b49
\n115\u63a8\u8bba \u5728\u540c\u5706\u6216\u7b49\u5706\u4e2d\uff0c\u5982\u679c\u4e24\u4e2a\u5706\u5fc3\u89d2\u3001\u4e24\u6761\u5f27\u3001\u4e24\u6761\u5f26\u6216\u4e24
\n\u5f26\u7684\u5f26\u5fc3\u8ddd\u4e2d\u6709\u4e00\u7ec4\u91cf\u76f8\u7b49\u90a3\u4e48\u5b83\u4eec\u6240\u5bf9\u5e94\u7684\u5176\u4f59\u5404\u7ec4\u91cf\u90fd\u76f8\u7b49
\n116\u5b9a\u7406 \u4e00\u6761\u5f27\u6240\u5bf9\u7684\u5706\u5468\u89d2\u7b49\u4e8e\u5b83\u6240\u5bf9\u7684\u5706\u5fc3\u89d2\u7684\u4e00\u534a
\n117\u63a8\u8bba1 \u540c\u5f27\u6216\u7b49\u5f27\u6240\u5bf9\u7684\u5706\u5468\u89d2\u76f8\u7b49\uff1b\u540c\u5706\u6216\u7b49\u5706\u4e2d\uff0c\u76f8\u7b49\u7684\u5706\u5468\u89d2\u6240\u5bf9\u7684\u5f27\u4e5f\u76f8\u7b49
\n118\u63a8\u8bba2 \u534a\u5706\uff08\u6216\u76f4\u5f84\uff09\u6240\u5bf9\u7684\u5706\u5468\u89d2\u662f\u76f4\u89d2\uff1b90\u00b0\u7684\u5706\u5468\u89d2\u6240
\n\u5bf9\u7684\u5f26\u662f\u76f4\u5f84
\n119\u63a8\u8bba3 \u5982\u679c\u4e09\u89d2\u5f62\u4e00\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u7b49\u4e8e\u8fd9\u8fb9\u7684\u4e00\u534a\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u662f\u76f4\u89d2\u4e09\u89d2\u5f62
\n120\u5b9a\u7406 \u5706\u7684\u5185\u63a5\u56db\u8fb9\u5f62\u7684\u5bf9\u89d2\u4e92\u8865\uff0c\u5e76\u4e14\u4efb\u4f55\u4e00\u4e2a\u5916\u89d2\u90fd\u7b49\u4e8e\u5b83
\n\u7684\u5185\u5bf9\u89d2
\n121\u2460\u76f4\u7ebfL\u548c\u2299O\u76f8\u4ea4 d\ufe64r
\n\u2461\u76f4\u7ebfL\u548c\u2299O\u76f8\u5207 d=r
\n\u2462\u76f4\u7ebfL\u548c\u2299O\u76f8\u79bb d\ufe65r
\n122\u5207\u7ebf\u7684\u5224\u5b9a\u5b9a\u7406 \u7ecf\u8fc7\u534a\u5f84\u7684\u5916\u7aef\u5e76\u4e14\u5782\u76f4\u4e8e\u8fd9\u6761\u534a\u5f84\u7684\u76f4\u7ebf\u662f\u5706\u7684\u5207\u7ebf
\n123\u5207\u7ebf\u7684\u6027\u8d28\u5b9a\u7406 \u5706\u7684\u5207\u7ebf\u5782\u76f4\u4e8e\u7ecf\u8fc7\u5207\u70b9\u7684\u534a\u5f84
\n124\u63a8\u8bba1 \u7ecf\u8fc7\u5706\u5fc3\u4e14\u5782\u76f4\u4e8e\u5207\u7ebf\u7684\u76f4\u7ebf\u5fc5\u7ecf\u8fc7\u5207\u70b9
\n125\u63a8\u8bba2 \u7ecf\u8fc7\u5207\u70b9\u4e14\u5782\u76f4\u4e8e\u5207\u7ebf\u7684\u76f4\u7ebf\u5fc5\u7ecf\u8fc7\u5706\u5fc3
\n126\u5207\u7ebf\u957f\u5b9a\u7406 \u4ece\u5706\u5916\u4e00\u70b9\u5f15\u5706\u7684\u4e24\u6761\u5207\u7ebf\uff0c\u5b83\u4eec\u7684\u5207\u7ebf\u957f\u76f8\u7b49\uff0c
\n\u5706\u5fc3\u548c\u8fd9\u4e00\u70b9\u7684\u8fde\u7ebf\u5e73\u5206\u4e24\u6761\u5207\u7ebf\u7684\u5939\u89d2
\n127\u5706\u7684\u5916\u5207\u56db\u8fb9\u5f62\u7684\u4e24\u7ec4\u5bf9\u8fb9\u7684\u548c\u76f8\u7b49
\n128\u5f26\u5207\u89d2\u5b9a\u7406 \u5f26\u5207\u89d2\u7b49\u4e8e\u5b83\u6240\u5939\u7684\u5f27\u5bf9\u7684\u5706\u5468\u89d2
\n129\u63a8\u8bba \u5982\u679c\u4e24\u4e2a\u5f26\u5207\u89d2\u6240\u5939\u7684\u5f27\u76f8\u7b49\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u5f26\u5207\u89d2\u4e5f\u76f8\u7b49
\n130\u76f8\u4ea4\u5f26\u5b9a\u7406 \u5706\u5185\u7684\u4e24\u6761\u76f8\u4ea4\u5f26\uff0c\u88ab\u4ea4\u70b9\u5206\u6210\u7684\u4e24\u6761\u7ebf\u6bb5\u957f\u7684\u79ef
\n\u76f8\u7b49
\n131\u63a8\u8bba \u5982\u679c\u5f26\u4e0e\u76f4\u5f84\u5782\u76f4\u76f8\u4ea4\uff0c\u90a3\u4e48\u5f26\u7684\u4e00\u534a\u662f\u5b83\u5206\u76f4\u5f84\u6240\u6210\u7684
\n\u4e24\u6761\u7ebf\u6bb5\u7684\u6bd4\u4f8b\u4e2d\u9879
\n132\u5207\u5272\u7ebf\u5b9a\u7406 \u4ece\u5706\u5916\u4e00\u70b9\u5f15\u5706\u7684\u5207\u7ebf\u548c\u5272\u7ebf\uff0c\u5207\u7ebf\u957f\u662f\u8fd9\u70b9\u5230\u5272
\n\u7ebf\u4e0e\u5706\u4ea4\u70b9\u7684\u4e24\u6761\u7ebf\u6bb5\u957f\u7684\u6bd4\u4f8b\u4e2d\u9879
\n133\u63a8\u8bba \u4ece\u5706\u5916\u4e00\u70b9\u5f15\u5706\u7684\u4e24\u6761\u5272\u7ebf\uff0c\u8fd9\u4e00\u70b9\u5230\u6bcf\u6761\u5272\u7ebf\u4e0e\u5706\u7684\u4ea4\u70b9\u7684\u4e24\u6761\u7ebf\u6bb5\u957f\u7684\u79ef\u76f8\u7b49
\n134\u5982\u679c\u4e24\u4e2a\u5706\u76f8\u5207\uff0c\u90a3\u4e48\u5207\u70b9\u4e00\u5b9a\u5728\u8fde\u5fc3\u7ebf\u4e0a
\n135\u2460\u4e24\u5706\u5916\u79bb d\ufe65R+r \u2461\u4e24\u5706\u5916\u5207 d=R+r
\n\u2462\u4e24\u5706\u76f8\u4ea4 R-r\ufe64d\ufe64R+r(R\ufe65r)
\n\u2463\u4e24\u5706\u5185\u5207 d=R-r(R\ufe65r) \u2464\u4e24\u5706\u5185\u542bd\ufe64R-r(R\ufe65r)
\n136\u5b9a\u7406 \u76f8\u4ea4\u4e24\u5706\u7684\u8fde\u5fc3\u7ebf\u5782\u76f4\u5e73\u5206\u4e24\u5706\u7684\u516c\u5171\u5f26
\n137\u5b9a\u7406 \u628a\u5706\u5206\u6210n(n\u22653):
\n\u2474\u4f9d\u6b21\u8fde\u7ed3\u5404\u5206\u70b9\u6240\u5f97\u7684\u591a\u8fb9\u5f62\u662f\u8fd9\u4e2a\u5706\u7684\u5185\u63a5\u6b63n\u8fb9\u5f62
\n\u2475\u7ecf\u8fc7\u5404\u5206\u70b9\u4f5c\u5706\u7684\u5207\u7ebf\uff0c\u4ee5\u76f8\u90bb\u5207\u7ebf\u7684\u4ea4\u70b9\u4e3a\u9876\u70b9\u7684\u591a\u8fb9\u5f62\u662f\u8fd9\u4e2a\u5706\u7684\u5916\u5207\u6b63n\u8fb9\u5f62
\n138\u5b9a\u7406 \u4efb\u4f55\u6b63\u591a\u8fb9\u5f62\u90fd\u6709\u4e00\u4e2a\u5916\u63a5\u5706\u548c\u4e00\u4e2a\u5185\u5207\u5706\uff0c\u8fd9\u4e24\u4e2a\u5706\u662f\u540c\u5fc3\u5706
\n139\u6b63n\u8fb9\u5f62\u7684\u6bcf\u4e2a\u5185\u89d2\u90fd\u7b49\u4e8e\uff08n-2\uff09\u00d7180\u00b0\uff0fn
\n140\u5b9a\u7406 \u6b63n\u8fb9\u5f62\u7684\u534a\u5f84\u548c\u8fb9\u5fc3\u8ddd\u628a\u6b63n\u8fb9\u5f62\u5206\u62102n\u4e2a\u5168\u7b49\u7684\u76f4\u89d2\u4e09\u89d2\u5f62
\n141\u6b63n\u8fb9\u5f62\u7684\u9762\u79efSn=pnrn\uff0f2 p\u8868\u793a\u6b63n\u8fb9\u5f62\u7684\u5468\u957f
\n142\u6b63\u4e09\u89d2\u5f62\u9762\u79ef\u221a3a\uff0f4 a\u8868\u793a\u8fb9\u957f
\n143\u5982\u679c\u5728\u4e00\u4e2a\u9876\u70b9\u5468\u56f4\u6709k\u4e2a\u6b63n\u8fb9\u5f62\u7684\u89d2\uff0c\u7531\u4e8e\u8fd9\u4e9b\u89d2\u7684\u548c\u5e94\u4e3a
\n360\u00b0\uff0c\u56e0\u6b64k\u00d7(n-2)180\u00b0\uff0fn=360\u00b0\u5316\u4e3a\uff08n-2\uff09(k-2)=4
\n144\u5f27\u957f\u8ba1\u7b97\u516c\u5f0f\uff1aL=n\u5140R\uff0f180
\n145\u6247\u5f62\u9762\u79ef\u516c\u5f0f\uff1aS\u6247\u5f62=n\u5140R^2\uff0f360=LR\uff0f2
\n146\u5185\u516c\u5207\u7ebf\u957f= d-(R-r) \u5916\u516c\u5207\u7ebf\u957f= d-(R+r)
\n\uff08\u8fd8\u6709\u4e00\u4e9b\uff0c\u5927\u5bb6\u5e2e\u8865\u5145\u5427\uff09<\/p>\n
\u5b9e\u7528\u5de5\u5177:\u5e38\u7528\u6570\u5b66\u516c\u5f0f
\n\u516c\u5f0f\u5206\u7c7b \u516c\u5f0f\u8868\u8fbe\u5f0f<\/p>\n
\u4e58\u6cd5\u4e0e\u56e0\u5f0f\u5206 a2-b2=(a+b)(a-b) a3+b3=(a+b)(a2-ab+b2) a3-b3=(a-b(a2+ab+b2)<\/p>\n
\u4e09\u89d2\u4e0d\u7b49\u5f0f |a+b|\u2264|a|+|b| |a-b|\u2264|a|+|b| |a|\u2264b<=>-b\u2264a\u2264b<\/p>\n
|a-b|\u2265|a|-|b| -|a|\u2264a\u2264|a|<\/p>\n
\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3 -b+\u221a(b2-4ac)\/2a -b-\u221a(b2-4ac)\/2a<\/p>\n
\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb X1+X2=-b\/a X1*X2=c\/a \u6ce8\uff1a\u97e6\u8fbe\u5b9a\u7406<\/p>\n
\u5224\u522b\u5f0f
\nb2-4ac=0 \u6ce8\uff1a\u65b9\u7a0b\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6839
\nb2-4ac>0 \u6ce8\uff1a\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u7b49\u7684\u5b9e\u6839
\nb2-4ac<0 \u6ce8\uff1a\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6839\uff0c\u6709\u5171\u8f6d\u590d\u6570\u6839<\/p>\n
\u4e09\u89d2\u51fd\u6570\u516c\u5f0f<\/p>\n
\u4e24\u89d2\u548c\u516c\u5f0f
\nsin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-sinBcosA
\ncos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB
\ntan(A+B)=(tanA+tanB)\/(1-tanAtanB) tan(A-B)=(tanA-tanB)\/(1+tanAtanB)
\nctg(A+B)=(ctgActgB-1)\/(ctgB+ctgA) ctg(A-B)=(ctgActgB+1)\/(ctgB-ctgA)<\/p>\n
\u500d\u89d2\u516c\u5f0f
\ntan2A=2tanA\/(1-tan2A) ctg2A=(ctg2A-1)\/2ctga
\ncos2a=cos2a-sin2a=2cos2a-1=1-2sin2a<\/p>\n
\u534a\u89d2\u516c\u5f0f
\nsin(A\/2)=\u221a((1-cosA)\/2) sin(A\/2)=-\u221a((1-cosA)\/2)
\ncos(A\/2)=\u221a((1+cosA)\/2) cos(A\/2)=-\u221a((1+cosA)\/2)
\ntan(A\/2)=\u221a((1-cosA)\/((1+cosA)) tan(A\/2)=-\u221a((1-cosA)\/((1+cosA))
\nctg(A\/2)=\u221a((1+cosA)\/((1-cosA)) ctg(A\/2)=-\u221a((1+cosA)\/((1-cosA))<\/p>\n
\u548c\u5dee\u5316\u79ef
\n2sinAcosB=sin(A+B)+sin(A-B) 2cosAsinB=sin(A+B)-sin(A-B)
\n2cosAcosB=cos(A+B)-sin(A-B) -2sinAsinB=cos(A+B)-cos(A-B)
\nsinA+sinB=2sin((A+B)\/2)cos((A-B)\/2 cosA+cosB=2cos((A+B)\/2)sin((A-B)\/2)
\ntanA+tanB=sin(A+B)\/cosAcosB tanA-tanB=sin(A-B)\/cosAcosB
\nctgA+ctgBsin(A+B)\/sinAsinB -ctgA+ctgBsin(A+B)\/sinAsinB<\/p>\n
\u67d0\u4e9b\u6570\u5217\u524dn\u9879\u548c
\n1+2+3+4+5+6+7+8+9+\u2026+n=n(n+1)\/2 1+3+5+7+9+11+13+15+\u2026+(2n-1)=n2
\n2+4+6+8+10+12+14+\u2026+(2n)=n(n+1) 12+22+32+42+52+62+72+82+\u2026+n2=n(n+1)(2n+1)\/6
\n13+23+33+43+53+63+\u2026n3=n2(n+1)2\/4 1*2+2*3+3*4+4*5+5*6+6*7+\u2026+n(n+1)=n(n+1)(n+2)\/3<\/p>\n
\u6b63\u5f26\u5b9a\u7406 a\/sinA=b\/sinB=c\/sinC=2R \u6ce8\uff1a \u5176\u4e2d R \u8868\u793a\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u534a\u5f84<\/p>\n
\u4f59\u5f26\u5b9a\u7406 b2=a2+c2-2accosB \u6ce8\uff1a\u89d2B\u662f\u8fb9a\u548c\u8fb9c\u7684\u5939\u89d2<\/p>\n
\u5706\u7684\u6807\u51c6\u65b9\u7a0b (x-a)2+(y-b)2=r2 \u6ce8\uff1a\uff08a,b\uff09\u662f\u5706\u5fc3\u5750\u6807
\n\u5706\u7684\u4e00\u822c\u65b9\u7a0b x2+y2+Dx+Ey+F=0 \u6ce8\uff1aD2+E2-4F>0
\n\u629b\u7269\u7ebf\u6807\u51c6\u65b9\u7a0b y2=2px y2=-2px x2=2py x2=-2py<\/p>\n
\u76f4\u68f1\u67f1\u4fa7\u9762\u79ef S=c*h \u659c\u68f1\u67f1\u4fa7\u9762\u79ef S=c\u2019*h
\n\u6b63\u68f1\u9525\u4fa7\u9762\u79ef S=1\/2c*h\u2019 \u6b63\u68f1\u53f0\u4fa7\u9762\u79ef S=1\/2(c+c\u2019)h\u2019
\n\u5706\u53f0\u4fa7\u9762\u79ef S=1\/2(c+c\u2019)l=pi(R+r)l \u7403\u7684\u8868\u9762\u79ef S=4pi*r2
\n\u5706\u67f1\u4fa7\u9762\u79ef S=c*h=2pi*h \u5706\u9525\u4fa7\u9762\u79ef S=1\/2*c*l=pi*r*l<\/p>\n
\u5f27\u957f\u516c\u5f0f l=a*r a\u662f\u5706\u5fc3\u89d2\u7684\u5f27\u5ea6\u6570r >0 \u6247\u5f62\u9762\u79ef\u516c\u5f0f s=1\/2*l*r<\/p>\n
\u9525\u4f53\u4f53\u79ef\u516c\u5f0f V=1\/3*S*H \u5706\u9525\u4f53\u4f53\u79ef\u516c\u5f0f V=1\/3*pi*r2h
\n\u659c\u68f1\u67f1\u4f53\u79ef V=S\u2019L \u6ce8\uff1a\u5176\u4e2d,S\u2019\u662f\u76f4\u622a\u9762\u9762\u79ef\uff0c L\u662f\u4fa7\u68f1\u957f
\n\u67f1\u4f53\u4f53\u79ef\u516c\u5f0f V=s*h \u5706\u67f1\u4f53 V=pi*r2h<\/p>\n
========================================<\/p>\n
\u9ad8\u4e2d\u7269\u7406\u5b9a\u7406\u3001\u5b9a\u5f8b\u3001\u516c\u5f0f\u8868
\n\u4e00\u3001\u8d28\u70b9\u7684\u8fd0\u52a8\uff081\uff09\u2014\u2014\u76f4\u7ebf\u8fd0\u52a8
\n1\uff09\u5300\u53d8\u901f\u76f4\u7ebf\u8fd0\u52a8
\n1.\u5e73\u5747\u901f\u5ea6V\u5e73\uff1ds\/t\uff08\u5b9a\u4e49\u5f0f\uff09 2.\u6709\u7528\u63a8\u8bbaVt2-Vo2\uff1d2as
\n3.\u4e2d\u95f4\u65f6\u523b\u901f\u5ea6Vt\/2\uff1dV\u5e73\uff1d(Vt+Vo)\/2 4.\u672b\u901f\u5ea6Vt\uff1dVo+at
\n5.\u4e2d\u95f4\u4f4d\u7f6e\u901f\u5ea6Vs\/2\uff1d[(Vo2+Vt2)\/2]1\/2 6.\u4f4d\u79fbs\uff1dV\u5e73t\uff1dVot+at2\/2\uff1dVt\/2t
\n7.\u52a0\u901f\u5ea6a\uff1d(Vt-Vo)\/t \uff5b\u4ee5Vo\u4e3a\u6b63\u65b9\u5411\uff0ca\u4e0eVo\u540c\u5411(\u52a0\u901f)a>0\uff1b\u53cd\u5411\u5219a<0\uff5d
\n8.\u5b9e\u9a8c\u7528\u63a8\u8bba\u0394s\uff1daT2 \uff5b\u0394s\u4e3a\u8fde\u7eed\u76f8\u90bb\u76f8\u7b49\u65f6\u95f4(T)\u5185\u4f4d\u79fb\u4e4b\u5dee\uff5d
\n9.\u4e3b\u8981\u7269\u7406\u91cf\u53ca\u5355\u4f4d:\u521d\u901f\u5ea6(Vo):m\/s\uff1b\u52a0\u901f\u5ea6(a):m\/s2\uff1b\u672b\u901f\u5ea6(Vt):m\/s\uff1b\u65f6\u95f4(t)\u79d2(s)\uff1b\u4f4d\u79fb(s):\u7c73\uff08m\uff09\uff1b\u8def\u7a0b:\u7c73\uff1b\u901f\u5ea6\u5355\u4f4d\u6362\u7b97\uff1a1m\/s=3.6km\/h\u3002
\n\u6ce8\uff1a
\n(1)\u5e73\u5747\u901f\u5ea6\u662f\u77e2\u91cf;
\n(2)\u7269\u4f53\u901f\u5ea6\u5927,\u52a0\u901f\u5ea6\u4e0d\u4e00\u5b9a\u5927;
\n(3)a=(Vt-Vo)\/t\u53ea\u662f\u91cf\u5ea6\u5f0f\uff0c\u4e0d\u662f\u51b3\u5b9a\u5f0f;
\n(4)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u8d28\u70b9\u3001\u4f4d\u79fb\u548c\u8def\u7a0b\u3001\u53c2\u8003\u7cfb\u3001\u65f6\u95f4\u4e0e\u65f6\u523b\u3014\u89c1\u7b2c\u4e00\u518cP19\u3015\/s\u2013t\u56fe\u3001v\u2013t\u56fe\/\u901f\u5ea6\u4e0e\u901f\u7387\u3001\u77ac\u65f6\u901f\u5ea6\u3014\u89c1\u7b2c\u4e00\u518cP24\u3015\u3002
\n2)\u81ea\u7531\u843d\u4f53\u8fd0\u52a8
\n1.\u521d\u901f\u5ea6Vo\uff1d0 2.\u672b\u901f\u5ea6Vt\uff1dgt
\n3.\u4e0b\u843d\u9ad8\u5ea6h\uff1dgt2\/2\uff08\u4eceVo\u4f4d\u7f6e\u5411\u4e0b\u8ba1\u7b97\uff09 4.\u63a8\u8bbaVt2\uff1d2gh
\n\u6ce8:
\n(1)\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u662f\u521d\u901f\u5ea6\u4e3a\u96f6\u7684\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u9075\u5faa\u5300\u53d8\u901f\u76f4\u7ebf\u8fd0\u52a8\u89c4\u5f8b\uff1b
\n(2)a\uff1dg\uff1d9.8m\/s2\u224810m\/s2\uff08\u91cd\u529b\u52a0\u901f\u5ea6\u5728\u8d64\u9053\u9644\u8fd1\u8f83\u5c0f,\u5728\u9ad8\u5c71\u5904\u6bd4\u5e73\u5730\u5c0f\uff0c\u65b9\u5411\u7ad6\u76f4\u5411\u4e0b\uff09\u3002
\n\uff083)\u7ad6\u76f4\u4e0a\u629b\u8fd0\u52a8
\n1.\u4f4d\u79fbs\uff1dVot-gt2\/2 2.\u672b\u901f\u5ea6Vt\uff1dVo-gt \uff08g=9.8m\/s2\u224810m\/s2\uff09
\n3.\u6709\u7528\u63a8\u8bbaVt2-Vo2\uff1d-2gs 4.\u4e0a\u5347\u6700\u5927\u9ad8\u5ea6Hm\uff1dVo2\/2g(\u629b\u51fa\u70b9\u7b97\u8d77\uff09
\n5.\u5f80\u8fd4\u65f6\u95f4t\uff1d2Vo\/g \uff08\u4ece\u629b\u51fa\u843d\u56de\u539f\u4f4d\u7f6e\u7684\u65f6\u95f4\uff09
\n\u6ce8:
\n(1)\u5168\u8fc7\u7a0b\u5904\u7406:\u662f\u5300\u51cf\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u4ee5\u5411\u4e0a\u4e3a\u6b63\u65b9\u5411\uff0c\u52a0\u901f\u5ea6\u53d6\u8d1f\u503c\uff1b
\n(2)\u5206\u6bb5\u5904\u7406\uff1a\u5411\u4e0a\u4e3a\u5300\u51cf\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u5411\u4e0b\u4e3a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\uff0c\u5177\u6709\u5bf9\u79f0\u6027\uff1b
\n(3)\u4e0a\u5347\u4e0e\u4e0b\u843d\u8fc7\u7a0b\u5177\u6709\u5bf9\u79f0\u6027,\u5982\u5728\u540c\u70b9\u901f\u5ea6\u7b49\u503c\u53cd\u5411\u7b49\u3002<\/p>\n
\u4e8c\u3001\u8d28\u70b9\u7684\u8fd0\u52a8\uff082\uff09\u2014-\u66f2\u7ebf\u8fd0\u52a8\u3001\u4e07\u6709\u5f15\u529b
\n1)\u5e73\u629b\u8fd0\u52a8
\n1.\u6c34\u5e73\u65b9\u5411\u901f\u5ea6\uff1aVx\uff1dVo 2.\u7ad6\u76f4\u65b9\u5411\u901f\u5ea6\uff1aVy\uff1dgt
\n3.\u6c34\u5e73\u65b9\u5411\u4f4d\u79fb\uff1ax\uff1dVot 4.\u7ad6\u76f4\u65b9\u5411\u4f4d\u79fb\uff1ay\uff1dgt2\/2
\n5.\u8fd0\u52a8\u65f6\u95f4t\uff1d(2y\/g\uff091\/2(\u901a\u5e38\u53c8\u8868\u793a\u4e3a(2h\/g)1\/2)
\n6.\u5408\u901f\u5ea6Vt\uff1d(Vx2+Vy2)1\/2\uff1d[Vo2+(gt)2]1\/2
\n\u5408\u901f\u5ea6\u65b9\u5411\u4e0e\u6c34\u5e73\u5939\u89d2\u03b2:tg\u03b2\uff1dVy\/Vx\uff1dgt\/V0
\n7.\u5408\u4f4d\u79fb\uff1as\uff1d(x2+y2)1\/2,
\n\u4f4d\u79fb\u65b9\u5411\u4e0e\u6c34\u5e73\u5939\u89d2\u03b1:tg\u03b1\uff1dy\/x\uff1dgt\/2Vo
\n8.\u6c34\u5e73\u65b9\u5411\u52a0\u901f\u5ea6\uff1aax=0\uff1b\u7ad6\u76f4\u65b9\u5411\u52a0\u901f\u5ea6\uff1aay\uff1dg
\n\u6ce8\uff1a
\n(1)\u5e73\u629b\u8fd0\u52a8\u662f\u5300\u53d8\u901f\u66f2\u7ebf\u8fd0\u52a8\uff0c\u52a0\u901f\u5ea6\u4e3ag\uff0c\u901a\u5e38\u53ef\u770b\u4f5c\u662f\u6c34\u5e73\u65b9\u5411\u7684\u5300\u901f\u76f4\u7ebf\u8fd0\u4e0e\u7ad6\u76f4\u65b9\u5411\u7684\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u7684\u5408\u6210\uff1b
\n(2)\u8fd0\u52a8\u65f6\u95f4\u7531\u4e0b\u843d\u9ad8\u5ea6h(y)\u51b3\u5b9a\u4e0e\u6c34\u5e73\u629b\u51fa\u901f\u5ea6\u65e0\u5173\uff1b
\n\uff083\uff09\u03b8\u4e0e\u03b2\u7684\u5173\u7cfb\u4e3atg\u03b2\uff1d2tg\u03b1\uff1b
\n\uff084\uff09\u5728\u5e73\u629b\u8fd0\u52a8\u4e2d\u65f6\u95f4t\u662f\u89e3\u9898\u5173\u952e\uff1b(5)\u505a\u66f2\u7ebf\u8fd0\u52a8\u7684\u7269\u4f53\u5fc5\u6709\u52a0\u901f\u5ea6\uff0c\u5f53\u901f\u5ea6\u65b9\u5411\u4e0e\u6240\u53d7\u5408\u529b(\u52a0\u901f\u5ea6)\u65b9\u5411\u4e0d\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\u65f6\uff0c\u7269\u4f53\u505a\u66f2\u7ebf\u8fd0\u52a8\u3002
\n2\uff09\u5300\u901f\u5706\u5468\u8fd0\u52a8
\n1.\u7ebf\u901f\u5ea6V\uff1ds\/t\uff1d2\u03c0r\/T 2.\u89d2\u901f\u5ea6\u03c9\uff1d\u03a6\/t\uff1d2\u03c0\/T\uff1d2\u03c0f
\n3.\u5411\u5fc3\u52a0\u901f\u5ea6a\uff1dV2\/r\uff1d\u03c92r\uff1d(2\u03c0\/T)2r 4.\u5411\u5fc3\u529bF\u5fc3\uff1dmV2\/r\uff1dm\u03c92r\uff1dmr(2\u03c0\/T)2\uff1dm\u03c9v=F\u5408
\n5.\u5468\u671f\u4e0e\u9891\u7387\uff1aT\uff1d1\/f 6.\u89d2\u901f\u5ea6\u4e0e\u7ebf\u901f\u5ea6\u7684\u5173\u7cfb\uff1aV\uff1d\u03c9r
\n7.\u89d2\u901f\u5ea6\u4e0e\u8f6c\u901f\u7684\u5173\u7cfb\u03c9\uff1d2\u03c0n(\u6b64\u5904\u9891\u7387\u4e0e\u8f6c\u901f\u610f\u4e49\u76f8\u540c)
\n8.\u4e3b\u8981\u7269\u7406\u91cf\u53ca\u5355\u4f4d\uff1a\u5f27\u957f(s):\u7c73(m)\uff1b\u89d2\u5ea6(\u03a6)\uff1a\u5f27\u5ea6\uff08rad\uff09\uff1b\u9891\u7387\uff08f\uff09\uff1a\u8d6b\uff08Hz\uff09\uff1b\u5468\u671f\uff08T\uff09\uff1a\u79d2\uff08s\uff09\uff1b\u8f6c\u901f\uff08n\uff09\uff1ar\/s\uff1b\u534a\u5f84(r):\u7c73\uff08m\uff09\uff1b\u7ebf\u901f\u5ea6\uff08V\uff09\uff1am\/s\uff1b\u89d2\u901f\u5ea6\uff08\u03c9\uff09\uff1arad\/s\uff1b\u5411\u5fc3\u52a0\u901f\u5ea6\uff1am\/s2\u3002
\n\u6ce8\uff1a
\n\uff081\uff09\u5411\u5fc3\u529b\u53ef\u4ee5\u7531\u67d0\u4e2a\u5177\u4f53\u529b\u63d0\u4f9b\uff0c\u4e5f\u53ef\u4ee5\u7531\u5408\u529b\u63d0\u4f9b\uff0c\u8fd8\u53ef\u4ee5\u7531\u5206\u529b\u63d0\u4f9b\uff0c\u65b9\u5411\u59cb\u7ec8\u4e0e\u901f\u5ea6\u65b9\u5411\u5782\u76f4\uff0c\u6307\u5411\u5706\u5fc3\uff1b
\n\uff082\uff09\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8\u7684\u7269\u4f53\uff0c\u5176\u5411\u5fc3\u529b\u7b49\u4e8e\u5408\u529b\uff0c\u5e76\u4e14\u5411\u5fc3\u529b\u53ea\u6539\u53d8\u901f\u5ea6\u7684\u65b9\u5411\uff0c\u4e0d\u6539\u53d8\u901f\u5ea6\u7684\u5927\u5c0f\uff0c\u56e0\u6b64\u7269\u4f53\u7684\u52a8\u80fd\u4fdd\u6301\u4e0d\u53d8\uff0c\u5411\u5fc3\u529b\u4e0d\u505a\u529f\uff0c\u4f46\u52a8\u91cf\u4e0d\u65ad\u6539\u53d8\u3002
\n3)\u4e07\u6709\u5f15\u529b
\n1.\u5f00\u666e\u52d2\u7b2c\u4e09\u5b9a\u5f8b\uff1aT2\/R3\uff1dK(\uff1d4\u03c02\/GM)\uff5bR:\u8f68\u9053\u534a\u5f84\uff0cT:\u5468\u671f\uff0cK:\u5e38\u91cf(\u4e0e\u884c\u661f\u8d28\u91cf\u65e0\u5173\uff0c\u53d6\u51b3\u4e8e\u4e2d\u5fc3\u5929\u4f53\u7684\u8d28\u91cf)\uff5d
\n2.\u4e07\u6709\u5f15\u529b\u5b9a\u5f8b\uff1aF\uff1dGm1m2\/r2 \uff08G\uff1d6.67\u00d710-11N?m2\/kg2\uff0c\u65b9\u5411\u5728\u5b83\u4eec\u7684\u8fde\u7ebf\u4e0a\uff09
\n3.\u5929\u4f53\u4e0a\u7684\u91cd\u529b\u548c\u91cd\u529b\u52a0\u901f\u5ea6\uff1aGMm\/R2\uff1dmg\uff1bg\uff1dGM\/R2 \uff5bR:\u5929\u4f53\u534a\u5f84(m)\uff0cM\uff1a\u5929\u4f53\u8d28\u91cf\uff08kg\uff09\uff5d
\n4.\u536b\u661f\u7ed5\u884c\u901f\u5ea6\u3001\u89d2\u901f\u5ea6\u3001\u5468\u671f\uff1aV\uff1d(GM\/r)1\/2\uff1b\u03c9\uff1d(GM\/r3)1\/2\uff1bT\uff1d2\u03c0(r3\/GM)1\/2\uff5bM\uff1a\u4e2d\u5fc3\u5929\u4f53\u8d28\u91cf\uff5d
\n5.\u7b2c\u4e00(\u4e8c\u3001\u4e09)\u5b87\u5b99\u901f\u5ea6V1\uff1d(g\u5730r\u5730)1\/2\uff1d(GM\/r\u5730)1\/2\uff1d7.9km\/s\uff1bV2\uff1d11.2km\/s\uff1bV3\uff1d16.7km\/s
\n6.\u5730\u7403\u540c\u6b65\u536b\u661fGMm\/(r\u5730+h)2\uff1dm4\u03c02(r\u5730+h)\/T2\uff5bh\u224836000km\uff0ch:\u8ddd\u5730\u7403\u8868\u9762\u7684\u9ad8\u5ea6\uff0cr\u5730:\u5730\u7403\u7684\u534a\u5f84\uff5d
\n\u6ce8:
\n(1)\u5929\u4f53\u8fd0\u52a8\u6240\u9700\u7684\u5411\u5fc3\u529b\u7531\u4e07\u6709\u5f15\u529b\u63d0\u4f9b,F\u5411\uff1dF\u4e07\uff1b
\n(2)\u5e94\u7528\u4e07\u6709\u5f15\u529b\u5b9a\u5f8b\u53ef\u4f30\u7b97\u5929\u4f53\u7684\u8d28\u91cf\u5bc6\u5ea6\u7b49\uff1b
\n(3)\u5730\u7403\u540c\u6b65\u536b\u661f\u53ea\u80fd\u8fd0\u884c\u4e8e\u8d64\u9053\u4e0a\u7a7a\uff0c\u8fd0\u884c\u5468\u671f\u548c\u5730\u7403\u81ea\u8f6c\u5468\u671f\u76f8\u540c\uff1b
\n(4)\u536b\u661f\u8f68\u9053\u534a\u5f84\u53d8\u5c0f\u65f6,\u52bf\u80fd\u53d8\u5c0f\u3001\u52a8\u80fd\u53d8\u5927\u3001\u901f\u5ea6\u53d8\u5927\u3001\u5468\u671f\u53d8\u5c0f\uff08\u4e00\u540c\u4e09\u53cd\uff09\uff1b
\n(5)\u5730\u7403\u536b\u661f\u7684\u6700\u5927\u73af\u7ed5\u901f\u5ea6\u548c\u6700\u5c0f\u53d1\u5c04\u901f\u5ea6\u5747\u4e3a7.9km\/s\u3002<\/p>\n
\u4e09\u3001\u529b\uff08\u5e38\u89c1\u7684\u529b\u3001\u529b\u7684\u5408\u6210\u4e0e\u5206\u89e3\uff09
\n1\uff09\u5e38\u89c1\u7684\u529b
\n1.\u91cd\u529bG\uff1dmg \uff08\u65b9\u5411\u7ad6\u76f4\u5411\u4e0b\uff0cg\uff1d9.8m\/s2\u224810m\/s2\uff0c\u4f5c\u7528\u70b9\u5728\u91cd\u5fc3\uff0c\u9002\u7528\u4e8e\u5730\u7403\u8868\u9762\u9644\u8fd1\uff09
\n2.\u80e1\u514b\u5b9a\u5f8bF\uff1dkx \uff5b\u65b9\u5411\u6cbf\u6062\u590d\u5f62\u53d8\u65b9\u5411\uff0ck\uff1a\u52b2\u5ea6\u7cfb\u6570(N\/m)\uff0cx\uff1a\u5f62\u53d8\u91cf(m)\uff5d
\n3.\u6ed1\u52a8\u6469\u64e6\u529bF\uff1d\u03bcFN \uff5b\u4e0e\u7269\u4f53\u76f8\u5bf9\u8fd0\u52a8\u65b9\u5411\u76f8\u53cd\uff0c\u03bc\uff1a\u6469\u64e6\u56e0\u6570\uff0cFN\uff1a\u6b63\u538b\u529b(N)\uff5d
\n4.\u9759\u6469\u64e6\u529b0\u2264f\u9759\u2264fm \uff08\u4e0e\u7269\u4f53\u76f8\u5bf9\u8fd0\u52a8\u8d8b\u52bf\u65b9\u5411\u76f8\u53cd\uff0cfm\u4e3a\u6700\u5927\u9759\u6469\u64e6\u529b\uff09
\n5.\u4e07\u6709\u5f15\u529bF\uff1dGm1m2\/r2 \uff08G\uff1d6.67\u00d710-11N?m2\/kg2,\u65b9\u5411\u5728\u5b83\u4eec\u7684\u8fde\u7ebf\u4e0a\uff09
\n6.\u9759\u7535\u529bF\uff1dkQ1Q2\/r2 \uff08k\uff1d9.0\u00d7109N?m2\/C2,\u65b9\u5411\u5728\u5b83\u4eec\u7684\u8fde\u7ebf\u4e0a\uff09
\n7.\u7535\u573a\u529bF\uff1dEq \uff08E\uff1a\u573a\u5f3aN\/C\uff0cq\uff1a\u7535\u91cfC\uff0c\u6b63\u7535\u8377\u53d7\u7684\u7535\u573a\u529b\u4e0e\u573a\u5f3a\u65b9\u5411\u76f8\u540c\uff09
\n8.\u5b89\u57f9\u529bF\uff1dBILsin\u03b8 \uff08\u03b8\u4e3aB\u4e0eL\u7684\u5939\u89d2\uff0c\u5f53L\u22a5B\u65f6:F\uff1dBIL\uff0cB\/\/L\u65f6:F\uff1d0\uff09
\n9.\u6d1b\u4ed1\u5179\u529bf\uff1dqVBsin\u03b8 \uff08\u03b8\u4e3aB\u4e0eV\u7684\u5939\u89d2\uff0c\u5f53V\u22a5B\u65f6\uff1af\uff1dqVB\uff0cV\/\/B\u65f6:f\uff1d0\uff09
\n\u6ce8:
\n(1)\u52b2\u5ea6\u7cfb\u6570k\u7531\u5f39\u7c27\u81ea\u8eab\u51b3\u5b9a;
\n(2)\u6469\u64e6\u56e0\u6570\u03bc\u4e0e\u538b\u529b\u5927\u5c0f\u53ca\u63a5\u89e6\u9762\u79ef\u5927\u5c0f\u65e0\u5173\uff0c\u7531\u63a5\u89e6\u9762\u6750\u6599\u7279\u6027\u4e0e\u8868\u9762\u72b6\u51b5\u7b49\u51b3\u5b9a;
\n(3)fm\u7565\u5927\u4e8e\u03bcFN\uff0c\u4e00\u822c\u89c6\u4e3afm\u2248\u03bcFN;
\n(4)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u9759\u6469\u64e6\u529b\uff08\u5927\u5c0f\u3001\u65b9\u5411\uff09\u3014\u89c1\u7b2c\u4e00\u518cP8\u3015\uff1b
\n(5)\u7269\u7406\u91cf\u7b26\u53f7\u53ca\u5355\u4f4dB\uff1a\u78c1\u611f\u5f3a\u5ea6(T)\uff0cL\uff1a\u6709\u6548\u957f\u5ea6(m)\uff0cI:\u7535\u6d41\u5f3a\u5ea6(A)\uff0cV\uff1a\u5e26\u7535\u7c92\u5b50\u901f\u5ea6(m\/s),q:\u5e26\u7535\u7c92\u5b50\uff08\u5e26\u7535\u4f53\uff09\u7535\u91cf(C);
\n(6)\u5b89\u57f9\u529b\u4e0e\u6d1b\u4ed1\u5179\u529b\u65b9\u5411\u5747\u7528\u5de6\u624b\u5b9a\u5219\u5224\u5b9a\u3002
\n2\uff09\u529b\u7684\u5408\u6210\u4e0e\u5206\u89e3
\n1.\u540c\u4e00\u76f4\u7ebf\u4e0a\u529b\u7684\u5408\u6210\u540c\u5411:F\uff1dF1+F2\uff0c \u53cd\u5411\uff1aF\uff1dF1-F2 (F1>F2)
\n2.\u4e92\u6210\u89d2\u5ea6\u529b\u7684\u5408\u6210\uff1a
\nF\uff1d(F12+F22+2F1F2cos\u03b1)1\/2\uff08\u4f59\u5f26\u5b9a\u7406\uff09 F1\u22a5F2\u65f6:F\uff1d(F12+F22)1\/2
\n3.\u5408\u529b\u5927\u5c0f\u8303\u56f4\uff1a|F1-F2|\u2264F\u2264|F1+F2|
\n4.\u529b\u7684\u6b63\u4ea4\u5206\u89e3\uff1aFx\uff1dFcos\u03b2\uff0cFy\uff1dFsin\u03b2\uff08\u03b2\u4e3a\u5408\u529b\u4e0ex\u8f74\u4e4b\u95f4\u7684\u5939\u89d2tg\u03b2\uff1dFy\/Fx\uff09
\n\u6ce8\uff1a
\n(1)\u529b(\u77e2\u91cf)\u7684\u5408\u6210\u4e0e\u5206\u89e3\u9075\u5faa\u5e73\u884c\u56db\u8fb9\u5f62\u5b9a\u5219;
\n\uff082\uff09\u5408\u529b\u4e0e\u5206\u529b\u7684\u5173\u7cfb\u662f\u7b49\u6548\u66ff\u4ee3\u5173\u7cfb,\u53ef\u7528\u5408\u529b\u66ff\u4ee3\u5206\u529b\u7684\u5171\u540c\u4f5c\u7528,\u53cd\u4e4b\u4e5f\u6210\u7acb;
\n(3)\u9664\u516c\u5f0f\u6cd5\u5916\uff0c\u4e5f\u53ef\u7528\u4f5c\u56fe\u6cd5\u6c42\u89e3,\u6b64\u65f6\u8981\u9009\u62e9\u6807\u5ea6,\u4e25\u683c\u4f5c\u56fe;
\n(4)F1\u4e0eF2\u7684\u503c\u4e00\u5b9a\u65f6,F1\u4e0eF2\u7684\u5939\u89d2(\u03b1\u89d2)\u8d8a\u5927\uff0c\u5408\u529b\u8d8a\u5c0f;
\n\uff085\uff09\u540c\u4e00\u76f4\u7ebf\u4e0a\u529b\u7684\u5408\u6210\uff0c\u53ef\u6cbf\u76f4\u7ebf\u53d6\u6b63\u65b9\u5411\uff0c\u7528\u6b63\u8d1f\u53f7\u8868\u793a\u529b\u7684\u65b9\u5411\uff0c\u5316\u7b80\u4e3a\u4ee3\u6570\u8fd0\u7b97\u3002<\/p>\n
\u56db\u3001\u52a8\u529b\u5b66\uff08\u8fd0\u52a8\u548c\u529b\uff09
\n1.\u725b\u987f\u7b2c\u4e00\u8fd0\u52a8\u5b9a\u5f8b(\u60ef\u6027\u5b9a\u5f8b\uff09\uff1a\u7269\u4f53\u5177\u6709\u60ef\u6027\uff0c\u603b\u4fdd\u6301\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u72b6\u6001\u6216\u9759\u6b62\u72b6\u6001,\u76f4\u5230\u6709\u5916\u529b\u8feb\u4f7f\u5b83\u6539\u53d8\u8fd9\u79cd\u72b6\u6001\u4e3a\u6b62
\n2.\u725b\u987f\u7b2c\u4e8c\u8fd0\u52a8\u5b9a\u5f8b\uff1aF\u5408\uff1dma\u6216a\uff1dF\u5408\/ma{\u7531\u5408\u5916\u529b\u51b3\u5b9a,\u4e0e\u5408\u5916\u529b\u65b9\u5411\u4e00\u81f4}
\n3.\u725b\u987f\u7b2c\u4e09\u8fd0\u52a8\u5b9a\u5f8b\uff1aF\uff1d-F\u00b4{\u8d1f\u53f7\u8868\u793a\u65b9\u5411\u76f8\u53cd,F\u3001F\u00b4\u5404\u81ea\u4f5c\u7528\u5728\u5bf9\u65b9\uff0c\u5e73\u8861\u529b\u4e0e\u4f5c\u7528\u529b\u53cd\u4f5c\u7528\u529b\u533a\u522b\uff0c\u5b9e\u9645\u5e94\u7528\uff1a\u53cd\u51b2\u8fd0\u52a8}
\n4.\u5171\u70b9\u529b\u7684\u5e73\u8861F\u5408\uff1d0\uff0c\u63a8\u5e7f \uff5b\u6b63\u4ea4\u5206\u89e3\u6cd5\u3001\u4e09\u529b\u6c47\u4ea4\u539f\u7406\uff5d
\n5.\u8d85\u91cd\uff1aFN>G\uff0c\u5931\u91cd\uff1aFN<G {\u52a0\u901f\u5ea6\u65b9\u5411\u5411\u4e0b\uff0c\u5747\u5931\u91cd\uff0c\u52a0\u901f\u5ea6\u65b9\u5411\u5411\u4e0a\uff0c\u5747\u8d85\u91cd}
\n6.\u725b\u987f\u8fd0\u52a8\u5b9a\u5f8b\u7684\u9002\u7528\u6761\u4ef6\uff1a\u9002\u7528\u4e8e\u89e3\u51b3\u4f4e\u901f\u8fd0\u52a8\u95ee\u9898\uff0c\u9002\u7528\u4e8e\u5b8f\u89c2\u7269\u4f53\uff0c\u4e0d\u9002\u7528\u4e8e\u5904\u7406\u9ad8\u901f\u95ee\u9898\uff0c\u4e0d\u9002\u7528\u4e8e\u5fae\u89c2\u7c92\u5b50\u3014\u89c1\u7b2c\u4e00\u518cP67\u3015
\n\u6ce8:\u5e73\u8861\u72b6\u6001\u662f\u6307\u7269\u4f53\u5904\u4e8e\u9759\u6b62\u6216\u5300\u901f\u76f4\u7ebf\u72b6\u6001,\u6216\u8005\u662f\u5300\u901f\u8f6c\u52a8\u3002<\/p>\n
\u4e94\u3001\u632f\u52a8\u548c\u6ce2\uff08\u673a\u68b0\u632f\u52a8\u4e0e\u673a\u68b0\u632f\u52a8\u7684\u4f20\u64ad\uff09
\n1.\u7b80\u8c10\u632f\u52a8F\uff1d-kx {F:\u56de\u590d\u529b\uff0ck:\u6bd4\u4f8b\u7cfb\u6570\uff0cx:\u4f4d\u79fb\uff0c\u8d1f\u53f7\u8868\u793aF\u7684\u65b9\u5411\u4e0ex\u59cb\u7ec8\u53cd\u5411}
\n2.\u5355\u6446\u5468\u671fT\uff1d2\u03c0(l\/g)1\/2 \uff5bl:\u6446\u957f(m)\uff0cg:\u5f53\u5730\u91cd\u529b\u52a0\u901f\u5ea6\u503c\uff0c\u6210\u7acb\u6761\u4ef6:\u6446\u89d2\u03b8<100;l>>r\uff5d
\n3.\u53d7\u8feb\u632f\u52a8\u9891\u7387\u7279\u70b9\uff1af\uff1df\u9a71\u52a8\u529b
\n4.\u53d1\u751f\u5171\u632f\u6761\u4ef6:f\u9a71\u52a8\u529b\uff1df\u56fa\uff0cA\uff1dmax\uff0c\u5171\u632f\u7684\u9632\u6b62\u548c\u5e94\u7528\u3014\u89c1\u7b2c\u4e00\u518cP175\u3015
\n5.\u673a\u68b0\u6ce2\u3001\u6a2a\u6ce2\u3001\u7eb5\u6ce2\u3014\u89c1\u7b2c\u4e8c\u518cP2\u3015
\n6.\u6ce2\u901fv\uff1ds\/t\uff1d\u03bbf\uff1d\u03bb\/T{\u6ce2\u4f20\u64ad\u8fc7\u7a0b\u4e2d\uff0c\u4e00\u4e2a\u5468\u671f\u5411\u524d\u4f20\u64ad\u4e00\u4e2a\u6ce2\u957f\uff1b\u6ce2\u901f\u5927\u5c0f\u7531\u4ecb\u8d28\u672c\u8eab\u6240\u51b3\u5b9a}
\n7.\u58f0\u6ce2\u7684\u6ce2\u901f(\u5728\u7a7a\u6c14\u4e2d\uff090\u2103\uff1a332m\/s\uff1b20\u2103:344m\/s\uff1b30\u2103:349m\/s\uff1b(\u58f0\u6ce2\u662f\u7eb5\u6ce2)
\n8.\u6ce2\u53d1\u751f\u660e\u663e\u884d\u5c04\uff08\u6ce2\u7ed5\u8fc7\u969c\u788d\u7269\u6216\u5b54\u7ee7\u7eed\u4f20\u64ad\uff09\u6761\u4ef6\uff1a\u969c\u788d\u7269\u6216\u5b54\u7684\u5c3a\u5bf8\u6bd4\u6ce2\u957f\u5c0f\uff0c\u6216\u8005\u76f8\u5dee\u4e0d\u5927
\n9.\u6ce2\u7684\u5e72\u6d89\u6761\u4ef6\uff1a\u4e24\u5217\u6ce2\u9891\u7387\u76f8\u540c(\u76f8\u5dee\u6052\u5b9a\u3001\u632f\u5e45\u76f8\u8fd1\u3001\u632f\u52a8\u65b9\u5411\u76f8\u540c)
\n10.\u591a\u666e\u52d2\u6548\u5e94:\u7531\u4e8e\u6ce2\u6e90\u4e0e\u89c2\u6d4b\u8005\u95f4\u7684\u76f8\u4e92\u8fd0\u52a8\uff0c\u5bfc\u81f4\u6ce2\u6e90\u53d1\u5c04\u9891\u7387\u4e0e\u63a5\u6536\u9891\u7387\u4e0d\u540c\uff5b\u76f8\u4e92\u63a5\u8fd1\uff0c\u63a5\u6536\u9891\u7387\u589e\u5927\uff0c\u53cd\u4e4b\uff0c\u51cf\u5c0f\u3014\u89c1\u7b2c\u4e8c\u518cP21\u3015\uff5d
\n\u6ce8\uff1a
\n\uff081\uff09\u7269\u4f53\u7684\u56fa\u6709\u9891\u7387\u4e0e\u632f\u5e45\u3001\u9a71\u52a8\u529b\u9891\u7387\u65e0\u5173\uff0c\u53d6\u51b3\u4e8e\u632f\u52a8\u7cfb\u7edf\u672c\u8eab\uff1b
\n\uff082\uff09\u52a0\u5f3a\u533a\u662f\u6ce2\u5cf0\u4e0e\u6ce2\u5cf0\u6216\u6ce2\u8c37\u4e0e\u6ce2\u8c37\u76f8\u9047\u5904\uff0c\u51cf\u5f31\u533a\u5219\u662f\u6ce2\u5cf0\u4e0e\u6ce2\u8c37\u76f8\u9047\u5904\uff1b
\n\uff083\uff09\u6ce2\u53ea\u662f\u4f20\u64ad\u4e86\u632f\u52a8\uff0c\u4ecb\u8d28\u672c\u8eab\u4e0d\u968f\u6ce2\u53d1\u751f\u8fc1\u79fb,\u662f\u4f20\u9012\u80fd\u91cf\u7684\u4e00\u79cd\u65b9\u5f0f\uff1b
\n\uff084\uff09\u5e72\u6d89\u4e0e\u884d\u5c04\u662f\u6ce2\u7279\u6709\u7684\uff1b
\n(5)\u632f\u52a8\u56fe\u8c61\u4e0e\u6ce2\u52a8\u56fe\u8c61\uff1b
\n(6)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u8d85\u58f0\u6ce2\u53ca\u5176\u5e94\u7528\u3014\u89c1\u7b2c\u4e8c\u518cP22\u3015\/\u632f\u52a8\u4e2d\u7684\u80fd\u91cf\u8f6c\u5316<\/p>\n
\u516d\u3001\u51b2\u91cf\u4e0e\u52a8\u91cf(\u7269\u4f53\u7684\u53d7\u529b\u4e0e\u52a8\u91cf\u7684\u53d8\u5316\uff09
\n1.\u52a8\u91cf\uff1ap\uff1dmv \uff5bp:\u52a8\u91cf(kg\/s)\uff0cm:\u8d28\u91cf(kg)\uff0cv:\u901f\u5ea6(m\/s)\uff0c\u65b9\u5411\u4e0e\u901f\u5ea6\u65b9\u5411\u76f8\u540c\uff5d
\n3.\u51b2\u91cf\uff1aI\uff1dFt \uff5bI:\u51b2\u91cf(N?s)\uff0cF:\u6052\u529b(N)\uff0ct:\u529b\u7684\u4f5c\u7528\u65f6\u95f4(s)\uff0c\u65b9\u5411\u7531F\u51b3\u5b9a\uff5d
\n4.\u52a8\u91cf\u5b9a\u7406\uff1aI\uff1d\u0394p\u6216Ft\uff1dmvt\u2013mvo {\u0394p:\u52a8\u91cf\u53d8\u5316\u0394p\uff1dmvt\u2013mvo\uff0c\u662f\u77e2\u91cf\u5f0f}
\n5.\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\uff1ap\u524d\u603b\uff1dp\u540e\u603b\u6216p\uff1dp\u2019\u00b4\u4e5f\u53ef\u4ee5\u662fm1v1+m2v2\uff1dm1v1\u00b4+m2v2\u00b4
\n6.\u5f39\u6027\u78b0\u649e\uff1a\u0394p\uff1d0\uff1b\u0394Ek\uff1d0 {\u5373\u7cfb\u7edf\u7684\u52a8\u91cf\u548c\u52a8\u80fd\u5747\u5b88\u6052}
\n7.\u975e\u5f39\u6027\u78b0\u649e\u0394p\uff1d0\uff1b0<\u0394EK<\u0394EKm {\u0394EK\uff1a\u635f\u5931\u7684\u52a8\u80fd\uff0cEKm\uff1a\u635f\u5931\u7684\u6700\u5927\u52a8\u80fd}
\n8.\u5b8c\u5168\u975e\u5f39\u6027\u78b0\u649e\u0394p\uff1d0\uff1b\u0394EK\uff1d\u0394EKm {\u78b0\u540e\u8fde\u5728\u4e00\u8d77\u6210\u4e00\u6574\u4f53}
\n9.\u7269\u4f53m1\u4ee5v1\u521d\u901f\u5ea6\u4e0e\u9759\u6b62\u7684\u7269\u4f53m2\u53d1\u751f\u5f39\u6027\u6b63\u78b0:
\nv1\u00b4\uff1d(m1-m2)v1\/(m1+m2) v2\u00b4\uff1d2m1v1\/(m1+m2)
\n10.\u75319\u5f97\u7684\u63a8\u8bba\u2014\u2013\u7b49\u8d28\u91cf\u5f39\u6027\u6b63\u78b0\u65f6\u4e8c\u8005\u4ea4\u6362\u901f\u5ea6(\u52a8\u80fd\u5b88\u6052\u3001\u52a8\u91cf\u5b88\u6052)
\n11.\u5b50\u5f39m\u6c34\u5e73\u901f\u5ea6vo\u5c04\u5165\u9759\u6b62\u7f6e\u4e8e\u6c34\u5e73\u5149\u6ed1\u5730\u9762\u7684\u957f\u6728\u5757M\uff0c\u5e76\u5d4c\u5165\u5176\u4e2d\u4e00\u8d77\u8fd0\u52a8\u65f6\u7684\u673a\u68b0\u80fd\u635f\u5931
\nE\u635f=mvo2\/2-(M+m)vt2\/2\uff1dfs\u76f8\u5bf9 {vt:\u5171\u540c\u901f\u5ea6\uff0cf:\u963b\u529b\uff0cs\u76f8\u5bf9\u5b50\u5f39\u76f8\u5bf9\u957f\u6728\u5757\u7684\u4f4d\u79fb}<\/p>\n
\u4e03\u3001\u529f\u548c\u80fd\uff08\u529f\u662f\u80fd\u91cf\u8f6c\u5316\u7684\u91cf\u5ea6\uff09
\n1.\u529f\uff1aW\uff1dFscos\u03b1\uff08\u5b9a\u4e49\u5f0f\uff09\uff5bW:\u529f(J)\uff0cF:\u6052\u529b(N)\uff0cs:\u4f4d\u79fb(m)\uff0c\u03b1:F\u3001s\u95f4\u7684\u5939\u89d2\uff5d
\n2.\u91cd\u529b\u505a\u529f\uff1aWab\uff1dmghab {m:\u7269\u4f53\u7684\u8d28\u91cf\uff0cg\uff1d9.8m\/s2\u224810m\/s2\uff0chab\uff1aa\u4e0eb\u9ad8\u5ea6\u5dee(hab\uff1dha-hb)}
\n3.\u7535\u573a\u529b\u505a\u529f\uff1aWab\uff1dqUab \uff5bq:\u7535\u91cf\uff08C\uff09\uff0cUab:a\u4e0eb\u4e4b\u95f4\u7535\u52bf\u5dee(V)\u5373Uab\uff1d\u03c6a\uff0d\u03c6b\uff5d
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\n===================================
\n\u4e09\u89d2\u51fd\u6570\u516c\u5f0f\u5927\u5168
\n\u8bf1\u5bfc\u516c\u5f0f
\nsin\u548ccos \u7684\u5e73\u65b9\u548c \u662f1
\nsin(-a)=-sin(a)
\ncos(-a)=cos(a)
\nsin(pi\/2-a)=cos(a)
\ncos(pi\/2-a)=sin(a)
\nsin(pi\/2+a)=cos(a)
\ncos(pi\/2+a)=-sin(a)
\nsin(pi-a)=sin(a)
\ncos(pi-a)=-cos(a)
\nsin(pi+a)=-sin(a)
\ncos(pi+a)=-cos(a)
\ntgA=tanA=sinA\/cosA
\n\u4e24\u89d2\u548c\u4e0e\u5dee\u7684\u4e09\u89d2\u51fd\u6570
\nsin(a+b)=sin(a)cos(b)+cos(\u03b1)sin(b)
\ncos(a+b)=cos(a)cos(b)-sin(a)sin(b)
\nsin(a-b)=sin(a)cos(b)-cos(a)sin(b)
\ncos(a-b)=cos(a)cos(b)+sin(a)sin(b)
\ntan(a+b)=(tan(a)+tan(b))\/(1-tan(a)tan(b))
\ntan(a-b)=(tan(a)-tan(b))\/(1+tan(a)tan(b))
\n\u4e09\u89d2\u51fd\u6570\u548c\u5dee\u5316\u79ef\u516c\u5f0f
\nsin(a)+sin(b)=2sin((a+b)\/2)cos((a-b)\/2)
\nsin(a)?sin(b)=2cos((a+b)\/2)sin((a-b)\/2)
\ncos(a)+cos(b)=2cos((a+b)\/2)cos((a-b)\/2)
\ncos(a)-cos(b)=-2sin((a+b)\/2)sin((a-b)\/2)
\n\u79ef\u5316\u548c\u5dee\u516c\u5f0f
\nsin(a)sin(b)=-1\/2*[cos(a+b)-cos(a-b)]
\ncos(a)cos(b)=1\/2*[cos(a+b)+cos(a-b)]
\nsin(a)cos(b)=1\/2*[sin(a+b)+sin(a-b)]
\n\u4e8c\u500d\u89d2\u516c\u5f0f
\nsin(2a)=2sin(a)cos(a)
\ncos(2a)=cos^2(a)-sin^2(a)=2cos^2(a)-1=1-2sin^2(a)
\n\u534a\u89d2\u516c\u5f0f
\nsin^2(a\/2)=(1-cos(a))\/2
\ncos^2(a\/2)=(1+cos(a))\/2
\ntan(a\/2)=(1-cos(a))\/sin(a)=sin(a)\/(1+cos(a))
\n\u4e07\u80fd\u516c\u5f0f
\nsin(a)= (2tan(a\/2))\/(1+tan^2(a\/2))
\ncos(a)= (1-tan^2(a\/2))\/(1+tan^2(a\/2))
\ntan(a)= (2tan(a\/2))\/(1-tan^2(a\/2))
\n\u5176\u5b83\u516c\u5f0f
\na*sin(a)+b*cos(a)=sqrt(a^2+b^2)sin(a+c) [\u5176\u4e2d\uff0ctan(c)=b\/a]
\na*sin(a)-b*cos(a)=sqrt(a^2+b^2)cos(a-c) [\u5176\u4e2d\uff0ctan(c)=a\/b]
\n1+sin(a)=(sin(a\/2)+cos(a\/2))^2
\n1-sin(a)=(sin(a\/2)-cos(a\/2))^2
\n\u5176\u4ed6\u975e\u91cd\u70b9\u4e09\u89d2\u51fd\u6570
\ncsc(a)=1\/sin(a)
\nsec(a)=1\/cos(a)
\n\u53cc\u66f2\u51fd\u6570
\nsinh(a)=(e^a-e^(-a))\/2
\ncosh(a)=(e^a+e^(-a))\/2
\ntgh(a)=sinh(a)\/cosh(a)<\/p>\n","protected":false},"excerpt":{"rendered":"
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