2017 《金版新学案》高三一轮物理：第4章_曲线运动_万有引力与航天第四章_第一讲_精品练习

2017 《金版新学案》高三一轮物理：第4章_曲线运动_万有引力与航天第四章_第一讲_精品练习

河南教考资源信息网http://www.henanjk.com版权所有·侵权必究(本栏目内容，在学生用书中以活页形式分册装订！)一、选择题1．在2010年2月加拿大温哥华举行的冬奥会上，进行短道速滑时，滑冰运动员要在弯道上进行速滑比赛，如图为某运动员在冰面上的运动轨迹，图中关于运动员的速度方向、合力方向正确的是(　　)解析：　曲线运动中某点的速度方向沿该点的切线方向，并且其运动轨迹将向F方向偏转，故选项D正确．答案：　D2．船在静水中航速为v1，水流的速度为v2.为使船行驶到河正对岸的码头，则v1相对v2的方向应为(　　)解析：　为使船行驶到正对岸，v1、v2的合速度应指向正对岸，所以C正确．答案：　C3．如右图所示，一小球以v0＝10m/s的速度水平抛出，在落地之前经过空中A、B两点．在A点小球速度方向与水平方向的夹角为45°，在B点小球速度方向与水平方向的夹角为60°(空气阻力忽略不计，g取10m/s2)，以下判断中正确的是(　　)A．小球经过A、B两点间的时间t＝1sB．小球经过A、B两点间的时间t＝sC．A、B两点间的高度差h＝10mD．A、B两点间的高度差h＝15m解析：　设A点竖直速度为v⊥A，v⊥A＝v0＝gtA，得tA＝1s，设B点的竖直速度为v⊥B，v⊥B＝v0tan60°＝gtB得tB＝s，则小球经过A、B两点间的时间为tB－tA＝(－1)s，故A错误，B错误；A、B两点间的高度差hAB＝t＝10m，故C正确，D错误．答案：　C4．在运动的合成和分解的实验中，红蜡块在长1m的竖直放置的玻璃管中在竖直方向能做匀速直线运动．现在某同学拿着玻璃管在水平方向上做匀加速直线运动，并每隔1s画出蜡块运动所到达的位置，如图所示，若取轨迹上C点(x1，y1)作该曲线的切线(图中虚线)交y轴于A点，则A的坐标(　　)A．(0,0.6y1)　　　　　　　B．(0,0.5y1)C．(0.0.4y1)D．无法确定解析：　红蜡块的运动为类平抛运动，由平抛运动的知识可知，过C点的切线应交于C点坐标y1的中点，所以选项B正确．答案：　B5.(2011·广州模拟)如右图所示，船从A处开出后沿直线AB到达对岸，若AB与河岸成37°角，水流速度为4m/s，则船从A点开出的最小速度为(　　)A．2m/sB．2.4m/s-5-\n河南教考资源信息网http://www.henanjk.com版权所有·侵权必究C．3m/sD．3.5m/s答案：　B6．(2011·广东广州)飞机在水平地面上空的某一高度水平匀速飞行，每隔相等时间投放一个物体．如果以第一个物体a的落地点为坐标原点、飞机飞行方向为横坐标的正方向，在竖直平面内建立直角坐标系．如图所示是第5个物体e离开飞机时，抛出的5个物体(a、b、c、d、e)在空间位置的示意图，其中不可能的是(　　)解析：　本题考查平抛运动的特点．物体被抛出时的水平速度相同，如果第一个物体a没有落地，那么所有物体在竖直方向应该排成一排，所以A对；如果先投出的物体已经落地，相邻物体的水平距离应该相等，没有落地的在竖直方向仍排成一排，所以B选项错误，C、D皆正确．答案：　B7.2009年以来我国共有29个省份不同程度发生洪涝灾害，受灾人口近9200万人，死亡427人，受灾农作物710多万公顷，直接经济损失711亿元人民币．如右图所示，在一次救灾工作中，一架沿水平方向匀速飞行的直升机A，通过悬索(重力可忽略不计)从飞机中放下解放军战士B，在某一段时间内，解放军战士与直升机之间的距离以y＝t2(式中各物理量的单位均为国际单位制单位)规律变化．则在这段时间内，关于解放军战士B的受力情况和运动轨迹(用虚线表示)的图示正确的是(　　)解析：　解放军战士在水平方向上做匀速运动，此方向上的合力为零；在竖直方向上向下做匀加速运动，合力向下，则G>FT.合运动的轨迹为抛物线．选项A正确．答案：　A8.如右图所示，两小球a、b从直角三角形斜面的顶端以相同大小的水平速率v0向左、向右水平抛出，分别落在两个斜面上，三角形的两底角分别为30°和60°，则两小球a、b运动时间之比为(　　)A．1∶B．1∶3C.∶1D．3∶1解析：　设a、b两球运动的时间分别为ta和tb，则tan30°＝＝，tan60°＝＝，两式相除得：＝＝.答案：　B9.一演员表演飞刀绝技，由O点先后抛出完全相同的三把飞刀，分别垂直打在竖直木板上M、N、P三点．假设不考虑飞刀的转动，并可将其看做质点，已知O、M、N、P四点距离水平地面高度分别为h、4h、3h、2h，以下说法正确的是(　　)A．三把刀在击中板时动能相同-5-\n河南教考资源信息网http://www.henanjk.com版权所有·侵权必究B．三次飞行时间之比为1∶∶C．三次初速度的竖直分量之比为3∶2∶1D．设三次抛出飞刀的初速度与水平方向夹角分别为θ1、θ2、θ3，则有θ1>θ2>θ3解析：　初速度为零的匀变速直线运动推论：(1)静止起通过连续相等位移所用时间之比t1∶t2∶t3∶……＝1∶(－1)∶(－)∶……；(2)前h、前2h、前3h……所用的时间之比为1∶∶∶…….对末速度为零的匀变速直线运动，可以相应的运用这些规律(从后往前用)．三把刀在击中板时速度不等，动能不相同，选项A错误；飞刀击中M点所用的时间长一些，选项B错误；三次初速度竖直分量之比等于∶∶1，选项C错误．只有选项D正确．答案：　D10.如右图所示，在斜面上某处A以初速度v水平抛出一个石块，不计空气阻力，在确保石块能落到斜面上的前提下，则(　　)A．只增大v，会使石块在空中飞行的时间变短B．只增大v，会使石块的落地点更接近A点C．只将A点沿斜面上移，石块飞行时间变长D．只将A点沿斜面上移，石块飞行时间不变解析：　由平抛运动规律x＝vt，h＝gt2，tanθ＝，可得t＝.显然石块飞行时间只与平抛初速度v、斜面倾角θ有关，与A点位置无关，选项C错误，D正确．只增大v会使石块在空中飞行的时间变长，选项A错误．石块的落地点距A点的距离L＝＝，显然，只增大v会使落地点更远离A点，选项B错误．答案：　D11.(2011·北京西城区抽样)随着人们生活水平的提高，高尔夫球将逐渐成为普通人的休闲娱乐．如右图所示，某人从高出水平地面h的坡上水平击出一个质量为m的高尔夫球．由于恒定的水平风力的作用，高尔夫球竖直地落入距击球点水平距离为L的A穴．则(　　)A．球被击出后做平抛运动B．该球从被击出到落入A穴所用的时间为C．球被击出时的初速度大小为D．球被击出后受到的水平风力的大小为mgh/L解析：　由于受到恒定的水平风力的作用，球被击出后在水平方向做匀减速运动，A错误；由h＝gt2得球从被击出到落入A穴所用的时间为t＝，B正确；由题述高尔夫球竖直地落入A穴可知球水平末速度为零，由L＝v0t/2得球被击出时的初速度大小为v0＝L，C错误；由v0＝at得球水平方向加速度大小a＝gL/h，球被击后后受到的水平风力的大小为F＝ma＝mgL/h，D错误．答案：　B二、非选择题-5-\n河南教考资源信息网http://www.henanjk.com版权所有·侵权必究12.如右图所示，在水平地面上固定一倾角θ＝37°、表面光滑的斜面体，物体A以v1＝6m/s的初速度沿斜面上滑，同时在物体A的正上方，有一物体B以某一初速度水平抛出．如果当A上滑到最高点时恰好被B物体击中．(A、B均可看做质点，sin37°＝0.6，cos37°＝0.8，g取10m/s2)求：(1)物体A上滑到最高点所用的时间t；(2)物体B抛出时的初速度v2；(3)物体A、B间初始位置的高度差h.解析：　(1)物体A上滑的过程中，由牛顿第二定律得：mgsinθ＝ma代入数据得：a＝6m/s2设经过t时间B物体击中A物体，由运动学公式：0＝v1－at代入数据得：t＝1s.(2)平抛物体B的水平位移：x＝v1tcos37°＝2.4m平抛速度：v2＝＝2.4m/s.(3)物体A、B间的高度差：h＝v1tsin37°＋gt2＝6.8m.答案：　(1)1s　(2)2.4m/s　(3)6.8m内部资料仅供参考9JWKffwvG#tYM*Jg&6a*CZ7H$dq8KqqfHVZFedswSyXTy#&QA9wkxFyeQ^!djs#XuyUP2kNXpRWXmA&UE9aQ@Gn8xp$R#͑Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz849Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5ux^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz849Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmUE9aQ@Gn8xp$R#͑Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz849Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5ux^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz849Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z8vG#tYM*Jg&6a*CZ7H$dq8KqqfHVZFedswSyXTy#&QA9wkxFyeQ^!djs#XuyUP2kNXpRWXmA&UE9aQ@Gn8xp$R#͑Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz849Gx^G89AmUE9aQ@Gn8xp$R#͑Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz849Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5ux^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz849Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z8vG#tYM*Jg&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