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1、1 高中物理二级结论上集（力学）温馨提示1、“二级结论”是常见知识和解题经验的总结，都是可以推导的。2、先想前提，后记结论，切勿盲目照搬、套用。3、常用于解选择题，可以提高解题速度。一般不能直接用于计算题中。一、匀变速直线运动的规律1、【基本规律】（1）速度公式：atvvt0（注意：公式的矢量性以及tv图是一次函数）（2）位移公式：2021attvx（注意：公式的矢量性以及tx图是二次函数）tvvxt20（注意：公式的矢量性）（3）速度与位移的关系式：axvvt2202（位移等分专项工具）2、【常用的推论】（1）2aTx即任意相邻相等时间内的位移之差相等。可以推广到2)(aTnmxxnm（2）
2、txvvvtt202/，某段时间的中间时刻的即时速度等于该段时间内的平均速度。22202/txvvv，某段位移的中间位置的即时速度公式（不等于该段位移内的平均速度）。2 可以证明，无论匀加速还是匀减速，都有2/2/xtvv。3、上抛运动：对称性：gvtt0下上，vv下上，202mvhg4、“刹车陷阱”：给出的时间大于滑行时间，则不能用公式算。先求滑行时间，确定了滑行时间小于给出的时间时，用22vas求滑行距离。5、绳端物体速度分解：对地速度是合速度，分解为沿绳的分速度和垂直绳的分速度。6、两个物体刚好不相撞的临界条件是：接触时速度相等或者匀速运动的速度相等。7、物体滑到小车（木板）一端的临界条
3、件是：物体滑到小车（木板）一端时与小车速度相等。8、在同一直线上运动的两个物体距离最大（小）的临界条件是：速度相等。9、tv图像的斜率等于加速度，面积等于位移10、tx图像的斜率等于物体的速度。图、ttx11根据匀变速直线运动公式错误!未找到引用源。变形可知 错误!未找到引用源。可知ttx图的截距为0v，斜率ak21。二、平衡1、几个力平衡，其中一个力与其它几个力的合力等大反向。2、两个力FFF21且夹角为则二者的合力为2cos2FF合特殊的当120时FFFF21合3、衣钩模型：“光滑小环”、“光滑滑轮”、“光滑挂钩”不切断细绳，仍为同一根绳，拉力大小处处相等；而“结点”则把细绳分成两段，已经
4、为不同绳，拉力大小常不一样。4、几类动态平衡模型联想文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4
5、 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9
6、文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A
7、1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4
8、X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10
9、U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W
10、9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U93 三、运动定律 1 水平面上滑行（水平传送带）：ga 2 牛二：动力阻力ma 3 沿光滑斜面下滑：singa；沿光滑斜面上冲：sin-ga沿 粗 糙 斜 面 下 滑：cos-singga；沿 粗 糙 斜 面 上
11、 冲：）（cossin-gga物体沿着粗糙斜面恰好匀速下滑时tan时间相等：450时时间最短：无极值：4 一起加速运动的物体，合力按质量正比例分配：FmmmN212，与有无摩擦（相同）无关，平面、斜面、竖直都一样。5、速度最大时合力为零：图1FBA图2MmF文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ
12、8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5
13、L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O
14、2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:
15、CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 H
16、M5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE
17、6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U94 车
18、以额定功率行驶时，fPvm四、曲线运动1曲线运动的特征（1）曲线运动的轨迹是 曲线。（2）由于运动的 速度方向 总沿轨迹的 切线方向，又由于曲线运动的轨迹是曲线，所以曲线运动的 速度方向 时刻变化。即使其速度大小保持恒定，由于其方向不断变化，所以说：曲线运动 一定是变速运动。（3）由于曲线运动的 速度一定是变化的，至少其 方向 总是不断变化的，所以，做曲线运动的物体的中速度必不为零，所受到的 合外力必不为零，必定有 加速度。（注意：合外力为零只有两种状态：静止和匀速直线运动。）曲线运动速度方向一定变化，曲线运动一定是变速运动，反之，变速运动不一定是曲线运动。2物体做曲线运动的条件(1)从动力学
19、角度看：物体所受 合外力 方向跟它的速度方向 不在同一条直线上。(2)从运动学角度看：物体的 加速度方向跟它的速度方向 不在同一条直线上。文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4
20、X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10
21、U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W
22、9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8
23、S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L
24、10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U
25、2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U95 xyxyOA(x,0)BCxy3分类：（1）加速度（大小和方向）不变的叫匀变速曲线运动。（如：平抛运动）（2）加速度变化（
26、大小变、方向变、大小方向均变化）的叫非 匀变速曲线运动。（如：圆周运动）4.曲线运动的合力、轨迹、速度之间的关系（1）轨迹特点：轨迹在速度方向和合力方向之间，且向合力方向一侧弯曲。（2）合力的效果：合力沿切线方向 的分力2F改变速度的大小，沿径向的分力1F改变速度的 方向。当合力方向与速度方向的夹角为锐角时，物体的速率将 增大。当合力方向与速度方向的夹角为钝角时，物体的速率将 减小。当合力方向与速度方向垂直时，物体的速率 不变。（举例：匀速圆周运动）5、平抛物体的运动规律1）物体在 t 时刻的位置水平分位移：tvx0竖直分位移：221gty合位移大小和方向：22yxltvgxy02tan文档编
27、码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7
28、 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4
29、ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文
30、档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1
31、J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X
32、4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U
33、9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U96 2）物体在 t 时刻的速度水平分速度：0vvx竖直分速度合速度大小和方向：3）运动轨迹的推导4）平抛物体的推论（1）运动时间：2htg，即平抛物体在空中的飞行时间仅取决于下落的高度，与初速度v0无关；（2）落地的水平距离：02xhlvg，即水平距离与初速度0v和下落
34、高度h有关，与其他因素无关；（3）落地速度：202tvvgh，即落地速度也只与初速度0v和下落高度h有关；（4）平抛运动的速度偏角与位移偏角的关系：0tan2ygtxv，20(1/2)tan(1/2)/2xyvgtyvv tx所以：平抛运动的偏角公式为：tan2tan，vt 的反向延长线与xyvgt22txyvvv0tanyxvgtvv0 xv t212ygt2202gyxv可得：此为平抛运动的轨迹方程文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J
35、7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4
36、 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9
37、文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A
38、1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4
39、X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10
40、U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W
41、9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U97 轴的交点为水平位移的中点。（5）平抛物体的运动中，任意两个时刻的速度变化量vgt，方向恒为竖直向下，其0v、tv、v三个速度矢量构成的三角形一定是直角三角形。（5）在任意相等时间内，重力的冲量相等yGmvvvmvmtmgI202（6）重力做功mgymvvvmEWyk22022121（7）重力的瞬时功率ymgvP、重力的平均功率2yvmgP6、描述圆周运动各物理量的关系（1）线速度与角速度的关系：vr（2）线速度与周期的关系：2 rvT（3）角速度与周
42、期的关系：2T（4）考虑频率f则有：2,2f vrf（5）f与n、T的关系：1fnT以上各物理量的关系222rvrrfnrT7、匀速圆周运动的性质：线速度仅大小不变而方向时刻改变，是变速运动；向心加速度仅大小恒定而方向时刻改变，是非匀变速曲线运动；匀速圆周运动发生 条件是质点受到大小不变、方向始终与速度方向垂直的合外力且指向圆心（即合力大小恒定、方向时刻改变）；向心力只改变线速度方向，不改变大小，所以只存在向心加速度（向心加速度的作用：描述线速度方向变化快慢）.文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4
43、X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10
44、U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W
45、9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8
46、S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L
47、10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U
48、2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6
49、F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U98 8、（1）“绳、单轨”类：最高点最小速度gR，最低点最小速度5gR，要通过顶点，最小下滑高度2.5R。最高点与最低点的拉力差6mg。（2）绳端系小球，从水平位置无初速下摆到最低点：弹力3mg，向心加速度 2g（3）“杆”：最高点最小速度0，最低点最小速度gR4；当在最高点gRv时，杆拉物体；当gRv时杆支持物体。五、万有引力1、星表模型（1）、在赤道上：万有引力、重力、向心力均指向地心则有R
50、mmgRMmG212（2）、在两极上：向心力为0、重力等于万有引力即22mgRMmG（4）、在一般位置：万有引力2RMmG等于重力mg与向心力向F的矢量和，2、通过观察卫星绕天体做匀速圆周运动的周期T，轨道半径 r(T、r法)（1）、中心天体质量 M42r3GT2；（2）、若已知天体的半径R，则天体的密度 MVM43 R33 r3GT2R3；（3）、若天体的卫星在天体表面附近环绕天体运动，可认为其轨道半文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J7 HM5L6F8S4X4 ZE6O2C1L10U9文档编码:CQ8U2W9A1J