高考数学（重庆专用 理科）一轮复习题库 9.2点与直线、直线与直线的位置关系 Word版含解析.doc

课时作业43点与直线、直线与直线的位置关系一、选择题1点(1，1)到直线xy10的距离是()A B C D2已知点A(1,2)，B(3,1)，则线段AB的垂直平分线的方程是()A4x2y50 B4x2y50Cx2y50 Dx2y503已知直线l的倾斜角为，直线l1经过点A(3,2)，B(a，1)，且l1与l垂直，直线l2：2xby10与直线l1平行，则ab()A4 B2 C0 D24已知直线3x4y30与直线6xmy140平行，则它们之间的距离是()A1 B2 C D45m1是直线mx(2m1)y10和直线3xmy20垂直的()A充分不必要条件B必要不充分条件C充要条件D既不充分也不必要条件6若点A(3,5)关于直线l：ykx的对称点在x轴上，则k的值为()A B±C D7点P是曲线yx2ln x上任意一点，则点P到直线yx2的最小距离为()A B C2 D2二、填空题8已知1(a0，b0)，则点(0，b)到直线3x4ya0的距离的最小值是_9直线(2m1)x(m1)y(m11)0恒过定点_10数学家欧拉在1765年提出定理：三角形的外心、重心、垂心，依次位于同一直线上，且重心到外心的距离是重心到垂心距离的一半，这条直线后人称之为三角形的欧拉线已知ABC的顶点A(2,0)，B(0,4)，若其欧拉线方程为：xy20，则顶点C的坐标是_三、解答题11已知两条直线l1：(3m)x4y53m，l2：2x(5m)y8.当m分别为何值时，l1与l2：(1)相交？(2)平行？(3)垂直？12(1)求点A(3,2)关于点B(3,4)的对称点C的坐标；(2)求直线3xy40关于点P(2，1)对称的直线l的方程；(3)求点A(2,2)关于直线2x4y90的对称点的坐标参考答案一、选择题1C解析：d2B解析：kAB设AB的垂直平分线的斜率为k，由于k·kAB1，k2又AB的中点为，故满足题意的方程为y2 (x2)即为4x2y503B解析：l的斜率为1，则l1的斜率为1，kAB1，a0由l1l2，得1，b2，ab24B解析：由直线3x4y30与直线6xmy140平行可得m8，直线6x8y140可化为3x4y70d25A解析：由直线mx(2m1)y10与3xmy20垂直可知3mm(2m1)0，m0或m1m1是两直线垂直的充分不必要条件6D解析：设A(a，0)，则AA的中点在ykx上又kAA，×k1或故答案为D7B解析：当点P为直线yx2平移到与曲线yx2ln x相切的切点时，点P到直线yx2的距离最小设点P(x0，y0)，f(x)x2ln x，则f(x0)1f(x)2x，2x01又x00，x01点P的坐标为(1，1)，此时点P到直线yx2的距离为二、填空题8解析：da0，b0，dba11212×，当且仅当且1，即a3，b时等号成立9(4，7)解析：(方法一)原方程可化为m(2xy1)(xy11)0由得直线恒过定点(4，7)(方法二)给m两个随意不同值，把得到的两个方程组成方程组，方程组的解即为定点坐标不妨令m0和m1，得解得直线恒过定点(4，7)10(4，0)解析：AB的中点坐标为(1，2)，线段AB的垂直平分线方程为yx，将其与欧拉线方程联立，解得外心(1，1).设C(a，b)，则重心，有2与(a1)2(b1)2(21)2(01)210，联立方程得或(不合题意，舍去)即C(4，0)三、解答题11解：(1)当m5时，显然l1与l2相交但不垂直；当m5时，两直线l1和l2的斜率分别为k1，k2，它们在y轴上的截距分别为b1，b2由k1k2，得，即m7且m1当m7且m1时，l1与l2相交(2)由得得m7当m7时，l1与l2平行(3)由k1k21，得·1，m当m时，l1与l2垂直12解：(1)设C(x，y)，解得故所求的对称点的坐标为C(9，6)(2)设直线l上任一点为(x，y)，它关于点P(2，1)的对称点(4x，2y)在直线3xy40上，3(4x)(2y)403xy100所求直线l的方程为3xy100(3)设B(a，b)是A(2，2)关于直线2x4y90的对称点，根据直线AB与已知直线垂直，且线段AB的中点在已知直线2x4y90上，则有解得所求的对称点的坐标为(1，4)高考资源网版权所有！投稿可联系QQ：108459180129C91AFE4CED1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFEDD1B6C87D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF95AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9D1B6C8795AD9C91AFE4CED1B6C8795A1AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFC91FE4CED1D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6CD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF8795AD9C91FE4CED1D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C87D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF5D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFAD9C91FE4CED1B6C8795AD29C91AFB6C8795AD29C91AFB6C8795AD29C91AFD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFFE4CED1B6C8795AD29C91AFC8795AD9C91FE4CED1B6C8795AD29C91AFD1B6C8795AD9C91AFED1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8D1B6C8795AD9C91AFE4CED1D91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFC91FE4CED1D1B6C871AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFC91FE4CED1D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6CD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF8795AD9C91FE4CED1D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C87D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF5D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFAD9C91FE4CED1B6C8795AD29C91AFB6C8795AD29C91AFB6C8795AD29C91AFD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8791AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFC91FE4CED1D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6CD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF8795AD9C91FE4CED1D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C87D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF5D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFAD9C91FE4CED1B6C8795AD29C91AFB6C8795AD29C91AFB6C8795AD29C91AFD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFFE4CED1B6C8795AD29C91AFC8795AD9C91FE4CED1B6C8795AD29C91AFD1B6C8795AD9C91AFED1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8D1B6C8795AD9C91AFE4CED15AD9C91D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFFE4CED1B6C8795AD29C91AFC8795AD9C91FE4CED1B6C8795AD29C91AFD1B6C8795AD9C91AFED1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8D1B6C8795AD9C91AFE4CED195AD9C91AFE4CED1B6C8795AD91AFE4CED1B6CD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF8795AD9C91FE4CED1D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C87D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF5D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFAD9C91FE4CED1B6C8795AD29C91AFB6C8795AD29C91AFB6C8795AD29C91AFD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFFE4CED1B6C8795AD29C91AFC8795AD9C91FE4CED1B6C8795AD29C91AFD1B6C8795AD9C91AFED1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF795AD9C91FE4CED1B6C8795ADD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF29C91AF4CED1B6C8795AD1B6C8795AD9C91AFE4CED1B6C8795AD91AFD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFD1B6C8795AD29C91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C9D1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF1AFD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AFD1BD1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF1B6C8795AD9C91AFE4CED1B6C8795AD91AFE4CED1B6C8795AD9C91FE4CED1B6C8795AD29C91AF4CED1B6C8795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