2022年2022年高考物理二轮复习选修3-4简谐运动题型归纳 .pdf

1 高考二轮复习选修3-4 简谐运动题型归纳题型一：简谐运动的特点【例题】一个质点做简谐振动，其位移 x 与时间 t 的关系图线如图所示，在 t=4s 时，质点的（）A.速度为正的最大值，加速度为零 B.速度为负的最大值，加速度为零C.速度为零，加速度为正的最大值 D.速度为零，加速度为负的最大值【答案】B【解析】由图象可知，在t=4s 时，质点位于平衡位置在向负方向运动，此时速度为负的最大值，加速度为零；故ACD 错误 B正确。【点睛】此题是对简谐振动特点的考查；要知道加速度和恢复力具有正比同向的关系，而恢复力和位移具有正比反向的关系；而速度最大时加速度最小，此时物体的位移为零.【类题训练】1、一质点做简谐运动，则下列说法中正确的是（）A.若位移为负值，则速度一定为正值，加速度也一定为正值B.质点通过平衡位置时，速度为零，加速度最大C.质点每次通过平衡位置时，加速度不一定相同，速度也不一定相同2 D.质点每次通过同一位置时，其速度不一定相同，但加速度一定相同【答案】D【解析】试题分析：若位移为负值，则恢复力为负值，加速度也一定为负值，但是速度不一定为负值，选项 A错误；质点通过平衡位置时，加速度为零，速度最大，选项B错误；质点每次通过平衡位置时，加速度一定相同且均为零，速度大小相同，但是方向不一定相同，故速度不一定相同，选项C错误，D正确；故选 D2、右图为某质点沿x轴做简谐运动的图象,下列说法中正确的是()A.在t=4s 时质点速度最大,加速度为 0 B.在t=1s 时,质点速度和加速度都达到最大值C.在 0 到 1s 时间内,质点速度和加速度方向相同D.在t=2s 时,质点的位移沿x轴负方向,加速度也沿x轴负方向【答案】C【解析】试题分析：根据加速度与位移方向相反，读出加速度的方向分析位移的变化，确定速度方向及其变化根据质点的位置，分析加速度和速度的大小在 t=4s 时质点位于最大位移处，速度为 0，加速度最大，故 A错误；文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P73 在 t=1s 时，质点通过平衡位置，速度最大，而加速度为0，故 B 错误；在 0 到 1s 时间内，质点的速度沿负方向，位移为正方向，由kxam知，加速度沿负方向，则两者方向相同，C正确；在 t=2s 时，质点的位移沿 x 轴负方向，根据kxam知，加速度沿x 轴正方向，故D错误3、下列关于简谐振动的说法正确的是（）A.速度和加速度第一次同时恢复为原来的大小和方向所经历的过程为一次全振动B.位移的方向总跟加速度的方向相反，跟速度的方向相同C.一个全振动指的是动能或势能第一次恢复为原来的大小所经历的过程D.位移减小时，加速度减小，速度增大E.物体运动方向指向平衡位置时，速度的方向与位移的方向相反；背离平衡位置时，速度方向与位移方向相同【答案】ADE【解析】A、速度和加速度第一次同时恢复为原来的大小和方向所经历的过程为一次全振动，故A正确；B、回复力与位移方向相反，故加速度和位移方向相反，但速度可以与位移相同，也可以相反，物体运动方向指向平衡位置时，速度的方向与位移的方向相反；背离平衡位置时，速度方向与位移方向相同，故B错误，E正确；C、一次全振动时，动能和势能均会有两次恢复为原来的大小，故 C错误；文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 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ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P74 D、当位移减小时，回复力减小，则加速度在减小，物体正在返回平衡位置；故速度在增大，故D正确。题型二：单摆周期公式的理解及应用【例题】摆球质量相等的甲、乙两单摆悬挂点高度相同，其振动图象如图所示。选悬挂点所在水平面为重力势能的参考面，由图可知()A.甲、乙两单摆摆长之比是49 B.ta时刻甲、乙两单摆的摆角相等C.tb时刻甲、乙两单摆的势能差最大D.tc时刻甲、乙两单摆的速率相等【答案】AC【解析】A、由振动图象得到甲、乙两个单摆的周期之比为:2:3TT甲乙，根据单摆周期公式2LTg得2TL，故甲、乙两个单摆的摆长之比为4:9，故 A正确；B、根据摆长不同，摆动幅度相同，故摆角不等，故B错误；C、有图可知bt时刻甲、乙两单摆的偏离平衡位置的差值最大，故势能差最大，故 C正确；D、ct时 刻 甲、乙两 单 摆 的 处于 平 衡 位 置，由 动 能 定 理得：2112mglcosmv（），由几何关系知：Asinl，（A为振幅，l为摆长），联立得：214xvgl甲，219xvgl乙，故 D错误。文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P75 点睛：本题关键从 x-t 图象得到周期，然后根据周期公式2LTg求解摆长之比，难度较大。【类题训练】1、某单摆由 1m长的摆线连接一个直径2cm的铁球组成，关于单摆周期，下列说法中正确的是（）A.用大球替代小球，单摆的周期不变 x.kw B.摆角从 5改为 3，单摆的周期会变小C.用等大的铜球替代铁球，单摆的周期不变D.将单摆从赤道移到北极，单摆的周期会变大【答案】C【解析】用大球替代小球，单摆摆长变长，由单摆周期公式T=2Lg可知，单摆的周期变大，故 A错误；由单摆周期公式T=2Lg可知，在小摆角情况下，单摆做简谐运动的周期与摆角无关，摆角从5改为 3时，单摆周期不变，故 B错误；用等大球替代，单摆摆长不变，由单摆周期公式T=2Lg可知，单摆的周期不变，故C 正确；将单摆从赤道移到北极，重力加速度g 变大，由单摆周期公式T=2Lg可知，单摆周期变小，故D错误；2、做简谐运动的单摆摆长不变,若摆球质量增加为原来的4 倍,摆球经过平衡位置时速度减小为原来的12,则单摆振动的()A.频率、振幅都不变文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P76 B.频率、振幅都改变C.频率不变,振幅改变D.频率改变,振幅不变【答案】C【解析】由单摆的周期公式2LTg，可知，单摆摆长不变，则周期不变，频率不变；振幅 A是反映单摆运动过程中的能量大小的物理量，由212KEmv可知，摆球经过平衡位置时的动能不变，但质量增加，所以高度减小，因此振幅改变，C正确题型三 受迫振动、共振的理解【例题】铺设铁轨时,每两根钢轨接缝处都必须留有一定的间隙,匀速运行列车经过轨端接缝处时,车轮就会受到一次冲击.由于每一根钢轨长度相等,所以这个冲击力是周期性的,列车受到周期性的冲击做受迫振动.普通钢轨长为 12.6 m,列车固有振动周期为0.315 s.下列说法正确的是 ()A.列车的危险速率为40 m/s B.列车过桥需要减速,是为了防止列车发生共振现象C.列车运行的振动频率和列车的固有频率总是相等的D.增加钢轨的长度有利于列车高速运行【答案】AD【解析】当列车受到冲击的频率和列车故有频率相同时，会发生共振，比较危险，由lTv可得危险车速为12.6/40/0.315lvm smsT，A 正确；列车过桥需要减速，是为了防止桥与火车发生共振现象，B错误；列文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P77 车的速度不同，则振动频率不同，C错误；由题意可知，根据lTv可知增加长度可以使危险车速增大，故可以使列车高速运行，故 D正确【类题训练】一物体做受迫振动,驱动力的频率小于该物体的固有频率。当驱动力的频率逐渐增大到一定数值的过程中,该物体的振幅可能()A.逐渐增大B.逐渐减小C.先逐渐增大,后逐渐减小D.先逐渐减小,后逐渐增大【答案】AC【解析】当驱动力频率等于固有频率时，做受迫振动的物体发生共振现象，振幅最大。若驱动力频率最后仍小于物体的固有频率，则物体的振幅逐渐增大，若驱动力频率最后大于物体的固有频率，则物体的振幅先增大后减小，A、C两项都有可能题型四 简谐运动的证明问题【例题】某同学用下图所示的实验装置来研究碰撞问题MON是一段半径为R的光滑圆弧轨道，圆弧与水平地面相切于O点 现将一个质量为m的小球A从轨道上的P点由静止释放()OPR，到达底端时与质量为3m的小球B发生弹性正碰已知P点和水平面的距离为h，两球均可视为质点，不计空气阻力，重力加速度为g证明：小球A从P点到O点的运动过程，可以看成是简谐运动的一部文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 HV1S4K5P6Z10 ZZ4Y8A9E4P7文档编码:CF9J2T8H9S6 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