2022年2018高考真题分类汇编直线与圆圆锥曲线 .pdf

2018 高考真题分类汇编直线与圆、圆锥曲线1.（2018北京理）在平面直角坐标系中，记d为点P（cos，sin）到直线20 xmy的距离，当，m 变化时，d 的最大值为（）（A）1（B）2（C）3（D）4 1.C 2.（2018 北京 理）已知椭圆22221(0)xyMabab：，双曲线22221xyNmn：若双曲线N的两条渐近线与椭圆M 的四个交点及椭圆M 的两个焦点恰为一个正六边形的顶点，则椭圆M 的离心率为 _；双曲线N 的离心率为 _2.3123.（2018 全国 I 理）设抛物线C：y2=4x 的焦点为F，过点（2，0）且斜率为的直线与C交于 M，N 两点，则=（）A5 B6 C7 D8 3.D 4.（2018 全国 I 理）已知双曲线C：，O 为坐标原点，F 为 C 的右焦点，过F 的直线与 C 的两条渐近线的交点分别为M、N.若为直角三角形，则|MN|=（）AB3 CD4 23FMFN2213xyOMN322 34.B 5.（2018 全国 II 理）双曲线的离心率为，则其渐近线方程为（）ABCD5.A 6.（2018全国II 理）已知，是椭圆的左、右焦点，是的左顶点，点在过且斜率为的直线上，为等腰三角形，则的离心率为（）A.BCD6.D 7.（2018 全国III理）直线分别与轴，轴交于，两点，点在圆上，则面积的取值范围是（）ABCD7.A 8.（2018 全国 III理）设是双曲线（）的左，右焦点，是坐标原点 过作的一条渐近线的垂线，垂足为若，则的离心率为（）22221(0,0)xyabab32yx3yx22yx32yx1F2F22221(0)xyCabab：ACPA3612PF F12120F F PC2312131420 xyxyABP2222xyABP26，48，23 2，2 23 2，12FF，22221xyCab：00ab，O2FCP16PFOPC文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3文档编码:CA4I6U5C3S5 HZ9O10Z3V8Y6 ZW5O6Z6R9Z3AB2 CD8.C 9.（2018 江苏）在平面直角坐标系xOy 中，若双曲线22221(0,0)xyabab的右焦点(,0)F c到一条渐近线的距离为32c，则其离心率的值是 9.2 10.（2018 江苏）在平面直角坐标系xOy 中，A 为直线:2lyx 上在第一象限内的点，(5,0)B，以 AB 为直径的圆C 与直线 l 交于另一点D若0AB CD，则点 A 的横坐标为 10.3 11.（2018 浙江）双曲线2213=xy的焦点坐标是（）A(-2，0)，(2，0)B(-2，0)，(2，0)C(0，-2)，(0，2)D(0，-2)，(0，2)11.B 12.（2018 浙江）已知点P(0，1)，椭圆24x+y2=m(m1)上两点 A，B 满足AP=2PB，则当m=_时，点 B 横坐标的绝对值最大12.5532文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y413.（2018 天津 理）已知双曲线22221(0,0)xyabab的离心率为2，过右焦点且垂直于 x 轴的直线与双曲线交于A，B 两点.设 A，B 到双曲线的同一条渐近线的距离分别为1d和2d，且126dd，则双曲线的方程为（）(A)221412xy(B)221124xy(C)22139xy(D)22193xy13.C 14（2018 上海）双曲线y2=1 的渐近线方程为14.y=15.（2018 上海）设 P 是椭圆=1 上的动点，则P到该椭圆的两个焦点的距离之和为（）A2B2C2D415.C 16.（2018 北京 理）（本小题满分14 分）已知抛物线C：2y=2px 经过点P（1，2）过点 Q（0，1）的直线 l 与抛物线C 有两个不同的交点 A，B，且直线 PA 交 y 轴于 M，直线 PB 交 y 轴于 N文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4（1）求直线l 的斜率的取值范围；（2）设 O 为原点，QMQO，QNQO，求证：11为定值16.【解析】（1）因为抛物线y2=2px 经过点 P（1，2），所以 4=2p，解得 p=2，所以抛物线的方程为y2=4x由题意可知直线l 的斜率存在且不为0，设直线l 的方程为y=kx+1（k0）由241yxykx得22(24)10k xkx依题意22(24)410kk，解得 k0 或 0kb0)的左焦点为F，上顶点为B.已知椭圆的离心率为53，点 A 的坐标为(,0)b，且6 2FBAB.（1）求椭圆的方程；（2）设直线l：(0)ykx k与椭圆在第一象限的交点为P，且 l 与直线 AB 交于点 Q.若5 2sin4AQAOQPQ(O 为原点)，求 k 的值.20.【解析】（）设椭圆的焦距为2c，由已知有2259ca，又由 a2=b2+c2，可得 2a=3b由已知可得，FBa，2ABb，由6 2FBAB，可得 ab=6，从而 a=3，b=2所以，椭圆的方程为22194xy（）设点P 的坐标为（x1，y1），点Q 的坐标为（x2，y2）由已知有y1y20，故12sinPQAOQyy 又 因 为2si nyAQOAB，而 OAB=4，故22AQy 由5 2sin4AQAOQPQ，可得 5y1=9y2由方程组22194ykxxy，消去 x，可得12694kyk易知直线AB 的方程为x+y 2=0，由方121212,28xxx x3 21|28d3 21283 2128文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4程组20ykxxy，消去 x，可得221kyk由 5y1=9y2，可得 5（k+1）=23 94k，两边平方，整理得25650110kk，解得12k，或1128k所以，k 的值为111228或21.（2018 江苏）（本小题满分16 分）如图，在平面直角坐标系xOy 中，椭圆 C 过点1(3,)2，焦点12(3,0),(3,0)FF，圆 O 的直径为12F F（1）求椭圆C 及圆 O 的方程；（2）设直线l 与圆 O 相切于第一象限内的点P若直线l 与椭圆 C 有且只有一个公共点，求点P 的坐标；直线 l 与椭圆 C 交于,A B 两点若OAB的面积为267，求直线 l 的方程21.【解析】（1）因为椭圆C 的焦点为12()3,0,(3,0)FF，可设椭圆 C 的方程为22221(0)xyabab又点1(3,)2在椭圆 C 上，所以2222311,43,abab，解得224,1,ab因此，椭圆C 的方程为2214xy因为圆 O 的直径为12F F，所以其方程为223xy（2）设直线l 与圆 O 相切于0000(),(00)P xyxy，则22003xy，文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4所以直线l 的方程为0000()xyxxyy，即0003xyxyy由220001,43,xyxyxyy消去 y，得222200004243640()xyxx xy（*）因为直线l 与椭圆 C 有且只有一个公共点，所以222222000000()()(24)(4 4364820)4xxyyyx因为00,0 xy，所以002,1xy因此，点P 的坐标为(2,1)因为三角形OAB 的面积为2 67，所以21267AB OP，从而4 27AB设1122,()(),A xyB xy，由（*）得2200022001,22448(2)2(4)xyxxxy，所以2222121()()xByyxA222000222200048(2)(1)(4)xyxyxy因为22003xy，所以22022016(2)32(1)49xABx，即42002451000 xx，解得22005(202xx舍去），则2012y，因此 P 的坐标为102(,)22综上，直线l 的方程为53 2yx文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y4文档编码:CH7S1I2M4X6 HW6A3H9I7H3 ZL5X5A7J9Y422.（2018浙江）（本小题 15分）如图，已知点P 是 y 轴左侧(不含 y 轴)一点，抛物线C：y2=4x 上存在不同的两点A，B 满PA，PB 的中点均在C 上（1）设 AB 中点为 M，证明：PM 垂直于 y 轴；（2）若 P 是半椭圆 x2+24y=1(x0)上的动点，求 P AB 面积的取值范围22.【解析】（1）设00(,)P xy，2111(,)4Ayy，2221(,)4Byy因为PA，PB的中点在抛物线上，所以1y，2y为方程202014()422yxyy，即22000280yy yxy的两个不同的实数根所以1202yyy因此，PM垂直于y轴（2）由（1）可 知120212002,8,yyyy yxy所 以2221200013|()384PMyyxyx，21200|2