基本三角函数的计算：角的正弦值 = 对边 / 斜边角的余弦值 = 邻边 / 斜边角的正切值 = 对边 / 邻边角度制与弧度制的相互转换：弧度 = 角度 * Math.PI / 180角度 = 弧度 * 180 / Math.PI//计算两点间距离：dx = x2 – x1;dy = y2 – y1;dist = Math.sqrt(dx*dx + dy*dy);//缓动公式:sprite.x += (targetX - sprite.x) * easing;//easing为缓动系数变量sprite.y += (targetY - sprite.y) * easing;//弹性公式:vx += (targetX - sprite.x) * spring;//spring为弹性系数vy += (targetY - sprite.y) * spring;sprite.x += (vx *= friction);//friction为摩擦力sprite.y += (vy *= friction);//偏移弹性公式:var dx:Number = sprite.x - fixedX;var dy:Number = sprite.y - fixedY;var angle:Number = Math.atan2(dy, dx);var targetX:Number = fixedX + Math.cos(angle) * springLength;var targetY:Number = fixedX + Math.sin(angle) * springLength;//向鼠标旋转(或向某点旋转)dx = mouseX - sprite.x;dy = mouseY - sprite.y;sprite.rotation = Math.atan2(dy, dx) * 180 / Math.PI;//波形运动:public function onEnterFrame1(event:Event):void {    ball.y=centerScale+Math.sin(angle)*range;    angle+=speed;}//心跳:public function onEnterFrame1(event:Event):void {    ball.scaleX=centerScale+Math.sin(angle)*range;    ball.scaleY=centerScale+Math.sin(angle)*range;    angle+=speed;}//圆心旋转:public function onEnterFrame(event:Event):void {    ball.x=centerX+Math.cos(angle)*radius;    ball.y=centerY+Math.sin(angle)*radius;    angle+=speed;}//椭圆旋转:public function onEnterFrame(event:Event):void {    ball.x=centerX+Math.cos(angle)*radiusX;    ball.y=centerY+Math.sin(angle)*radiusY;    angle+=speed;}//颜色运算得到透明值:var t:uint=0×77ff8877var s:uint=0xff000000var h:uint=t&svar m:uint=h>>>24trace(m)//转换为十进制:trace(hexValue);//十进制转换为十六进制:decimalValue.toString(16)//颜色提取:red = color24 >> 16;green = color24 >> 8 & 0xFF;blue = color24 & 0xFF;alpha = color32 >> 24;red = color32 >> 16 & 0xFF;green = color32 >> 8 & 0xFF;blue = color232 & 0xFF;//按位计算得到颜色值:color24 = red << 16 | green << 8 | blue;color32 = alpha << 24 | red << 16 | green << 8 | blue;//过控制点的曲线:// xt, yt是你想要让曲线通过的那一点// x0, y0 和x2, y2 是曲线的终点xt * 2 – (x0 + x2) / 2;y1 = yt * 2 – (y0 + y2) / 2;moveTo(x0, y0);curveTo(x1, y1, x2, y2);//向鼠标（或者任何一个点）旋转：// 用要旋转到的 x, y 坐标替换 mouseX, mouseYdx = mouseX - sprite.x;dy = mouseY - sprite.y;sprite.rotation = Math.atan2(dy, dx) * 180 / Math.PI;//创建波形：// 将 x, y 或其它属性赋值给 Sprite 影片或影片剪辑，// 作为绘图坐标，等等。public function onEnterFrame(event:Event){    value = center + Math.sin(angle) * range;    angle += speed;}//创建圆形：// 将 x, y 或其它属性赋值给 Sprite 影片或影片剪辑，// 作为绘图坐标，等等。public function onEnterFrame(event:Event){    xposition = centerX + Math.cos(angle) * radius;    yposition = centerY + Math.sin(angle) * radius;    angle += speed;}//创建椭圆：// 将 x, y 或其它属性赋值给 Sprite 影片或影片剪辑，// 作为绘图坐标，等等。public function onEnterFrame(event:Event){    xposition = centerX + Math.cos(angle) * radiusX;    yposition = centerY + Math.sin(angle) * radiusY;    angle += speed;}//获得两点间的距离：// x1, y1 和 x2, y2 是两个点// 也可以是 Sprite / MovieClip 坐标，鼠标坐标，等等。dx = x2 – x1;dy = y2 – y1;dist = Math.sqrt(dx*dx + dy*dy);//颜色组合：color24 = red < < 16 | green << 8 | blue;color32 = alpha << 24 | red << 16 | green << 8 | blue;//颜色提取：red = color24 >> 16;green = color24 >> 8 & 0xFF;blue = color24 & 0xFF;alpha = color32 >> 24;red = color32 >> 16 & 0xFF;green = color32 >> 8 & 0xFF;blue = color232 & 0xFF;//穿过某点绘制曲线：// xt, yt 是我们想要穿过的一点// x0, y0 以及 x2, y2 是曲线的两端x1 = xt * 2 – (x0 + x2) / 2;y1 = yt * 2 – (y0 + y2) / 2;moveTo(x0, y0);curveTo(x1, y1, x2, y2);//角速度转换为 x, y 速度：vx = speed * Math.cos(angle);vy = speed * Math.sin(angle);//角加速度（作用于物体上的 force）转换为 x, y 加速度：ax = force * Math.cos(angle);ay = force * Math.sin(angle);//将加速度加入速度：vx += ax;vy += ay;//移除出界对象：if(sprite.x - sprite.width / 2 > right ||    sprite.x + sprite.width / 2 < left ||    sprite.y – sprite.height / 2 > bottom ||    sprite.y + sprite.height / 2 < top){// 删除影片的代码}//重置出界对象：if(sprite.x - sprite.width / 2 > right ||    sprite.x + sprite.width / 2 < left ||    sprite.y – sprite.height / 2 > bottom ||    sprite.y + sprite.height / 2 < top){// 重置影片的位置和速度}//屏幕环绕出界对象：if(sprite.x - sprite.width / 2 > right){    sprite.x = left - sprite.width / 2;}else if(sprite.x + sprite.width / 2 < left){    sprite.x = right + sprite.width / 2;}if(sprite.y – sprite.height / 2 > bottom){    sprite.y = top – sprite.height / 2;}else if(sprite.y + sprite.height / 2 < top){    sprite.y = bottom + sprite.height / 2;}//摩擦力应用(正确方法)：speed = Math.sqrt(vx * vx + vy * vy);angle = Math.atan2(vy, vx);if(speed > friction){    speed -= friction;}else{    speed = 0;}vx = Math.cos(angle) * speed;vy = Math.sin(angle) * speed;//摩擦力应用(简便方法)：vx *= friction;vy *= friction;//简单缓动运动：//长形var dx:Number = targetX - sprite.x;var dy:Number = targetY - sprite.y;vx = dx * easing;vy = dy * easing;sprite.x += vx;sprite.y += vy;//中形：vx = (targetX - sprite.x) * easing;vy = (targetY - sprite.y) * easing;sprite.x += vx;sprite.y += vy;//短形：sprite.x += (targetX - sprite.x) * easing;sprite.y += (targetY - sprite.y) * easing;//简单弹性运动：//长形var ax:Number = (targetX - sprite.x) * spring;var ay:Number = (targetY - sprite.y) * spring;vx += ax;vy += ay;vx *= friction;vy *= friction;sprite.x += vx;sprite.y += vy;//中形：vx += (targetX - sprite.x) * spring;vy += (targetY - sprite.y) * spring;vx *= friction;vy *= friction;sprite.x += vx;sprite.y += vy;//短形：vx += (targetX - sprite.x) * spring;vy += (targetY - sprite.y) * spring;sprite.x += (vx *= friction);sprite.y += (vy *= friction);//偏移弹性运动：var dx:Number = sprite.x - fixedX;var dy:Number = sprite.y - fixedY;var angle:Number = Math.atan2(dy, dx);var targetX:Number = fixedX + Math.cos(angle) * springLength;var targetY:Number = fixedX + Math.sin(angle) * springLength;// 如前例弹性运动到 targetX, targetY//距离碰撞检测：// 从影片 spriteA 和 spriteB 开始// 如果使用一个空白影片，或影片没有半径（radius）属性// 可以用宽度或高度除以 2。var dx:Number = spriteB.x - spriteA.x;var dy:Number = spriteB.y - spriteA.y;var dist:Number = Math.sqrt(dx * dx + dy * dy);if(dist < spriteA.radius + spriteB.radius){    // 处理碰撞}//多物体碰撞检测：var numObjects:uint = 10;for(var i:uint = 0; i < numObjects - 1; i++){    // 使用变量 i 提取引用    var objectA = objects[i];    for(var j:uint = i+1; j{        // // 使用变量 j 提取引用        var objectB = objects[j];        // perform collision detection        // between objectA and objectB    }}//坐标旋转：x1 = Math.cos(angle) * x - Math.sin(angle) * y;y1 = Math.cos(angle) * y + Math.sin(angle) * x;//反坐标旋转：x1 = Math.cos(angle) * x + Math.sin(angle) * y;y1 = Math.cos(angle) * y - Math.sin(angle) * x;//动量守恒的 ActionScript 表达式，短形:var vxTotal:Number = vx0 - vx1;vx0 = ((ball0.mass - ball1.mass) * vx0 + 2 * ball1.mass * vx1) /(ball0.mass + ball1.mass);vx1 = vxTotal + vx0;//万有引力：function gravitate(partA:Ball, partB:Ball):void{    var dx:Number = partB.x - partA.x;    var dy:Number = partB.y - partA.y;    var distSQ:Number = dx * dx + dy * dy;    var dist:Number = Math.sqrt(distSQ);    var force:Number = partA.mass * partB.mass / distSQ;    var ax:Number = force * dx / dist;    var ay:Number = force * dy / dist;    partA.vx += ax / partA.mass;    partA.vy += ay / partA.mass;    partB.vx -= ax / partB.mass;    partB.vy -= ay / partB.mass;}//余弦定理：A = Math.acos((b * b + c * c - a * a) / (2 * b * c));B = Math.acos((a * a + c * c - b * b) / (2 * a * c));C = Math.acos((a * a + b * b - c * c) / (2 * a * b));

//基本透视法：scale = fl / (fl + zpos);sprite.scaleX = sprite.scaleY = scale;sprite.alpha = scale; // 可选sprite.x = vanishingPointX + xpos * scale;sprite.y = vanishingPointY + ypos * scale;//Z 排序：假设有一个带有 zpos 属性的 3D 物体的数组objectArray.sortOn("zpos", Array.DESCENDING | Array.NUMERIC);for(var i:uint = 0; i < numObjects; i++){    setChildIndex(objectArray[i], i);}//坐标旋转：x1 = cos(angleZ) * xpos - sin(angleZ) * ypos;y1 = cos(angleZ) * ypos + sin(angleZ) * xpos;x1 = cos(angleY) * xpos - sin(angleY) * zpos;z1 = cos(angleY) * zpos + sin(angleY) * xpos;y1 = cos(angleX) * ypos - sin(angleX) * zpos;z1 = cos(angleX) * zpos + sin(angleX) * ypos;//3D 距离：dist = Math.sqrt(dx * dx + dy * dy + dz * dz);