题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-52536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-82270.jpg)
(Ⅰ)求动点P的轨迹E的方程;
(Ⅱ)若N是直线x=2上异于点B的任意一点,直线AN与(I)中轨迹E交予点Q,设直线QB与以NB为直径的圆的一个交点为M(异于点B),点C(1,0),求证:|CM|·|CN| 为定值.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-44272.png)
解析
试题分析:(Ⅰ)根据斜率公式,有斜率乘积等于
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-54190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-65164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-13267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-74101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-28906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-17474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-70516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-25657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-27422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-25499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-85555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-83109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-70516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-21282.png)
试题解析:(Ⅰ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-60958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-71081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-28509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-75418.png)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-95211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-44272.png)
(Ⅱ)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230921-37298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-13267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230921-13485.png)
解方程组
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230921-11735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230918-74101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230921-91917.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230921-33658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230922-12740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230922-12362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230922-40262.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230922-69797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230923-95009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230923-82798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230923-52068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-17474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-70516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-25657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230922-12362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-27422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230923-39282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230923-36989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230924-17232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230924-42549.png)
定值证法一:即
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-85555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-83109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230919-70516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230920-21282.png)
定值证法二:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230924-11091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230924-36139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230925-50024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230924-17232.png)
联立得,
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230925-71607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230925-51796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230925-67446.png)
核心考点
试题【在平面直角坐标系中,已知定点A(-2,0)、B(2,0),异于A、B两点的动点P满足,其中k1、k2分别表示直线AP、BP的斜率.(Ⅰ)求动点P的轨迹E的方程;】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230907-65798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230907-75698.png)
(Ⅰ)求椭圆C的标准方程;
(Ⅱ)若N是直线x=2上不同于点B的任意一点,直线AN与椭圆C交于点Q,设直线QB与以NB为直径的圆的一个交点为M(异于点B),求证:直线NM经过定点.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230856-87098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230856-36611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230856-82917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230844-31931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230844-25078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230844-43190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230844-79230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230844-83841.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230832-40222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230832-36302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230832-81198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230832-64490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230833-42420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230832-36302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230833-33561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230833-44778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230833-18190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230834-14888.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230832-36302.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230834-80161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230834-64127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230834-95677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230832-36302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230835-96418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230835-34195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230835-49466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230835-74805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230836-52824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230822-87102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230823-89780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230823-81123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230823-19696.png)
(Ⅰ)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230822-87102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230823-20712.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230823-15110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230824-91921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230824-17060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230823-20712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230824-48555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230825-19782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230825-39174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230825-16217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230825-48100.png)
最新试题
- 1铭牌上标有“220V 100W”的电视机和电热毯都正常工作1小时,则______产生的热量较多;产生的热量是______
- 2将电灯L、L并联起来,用电流表测流过L的电流,在图中画出连接方法
- 3张宇家有一台彩电,在正常播放节目时的功率为500W,而待机(没有切断电源)时的功率为5W,平均每天有l/4时间在播放节目
- 4下表选项中,材料与结论之间逻辑关系正确的是 材料结论A1524年有西班牙人说:“以前我们在世界的边缘,现在在它的中央了,
- 5(1)将氧化铁还原为铁的技术在人类文明的进步中占有十分重要的地位。 炼铁高炉中发生的关键反应如下: C(s) +O2(g
- 6资本主义经济危机的根本原因是( )A.资本主义基本矛盾B.无产阶级与资产阶级的矛盾C.资本主义生产无限扩大的趋势同劳动人
- 7如图,已知点E为正方形ABCD的边BC上一点,连结AE,过点D作DG⊥AE,垂足为G,延长DG交AB于点F。求证:BF=
- 8为防止污染空气,下列气体中,不宜用排空气法收集的是[ ]A.氢气B.氧气C.一氧化碳D.二氧化碳
- 9若25a3b5(m﹣1)与a3b6m﹣7是同类项,则m的值为( )
- 10【题文】求函数y=lnx+2x-6的零点个数.
热门考点
- 1在人类历史发展的进程中,逐渐形成了世界三大宗教。世界三大宗教是指[ ]A.佛教、道教、基督激B.佛教、基督教、伊
- 2在世界历史上,国际格局的确立,是通过各国之间的斗争和妥协来实现的,这取决于各国综合国力的强弱。阅读下列材料,结合所学知识
- 3连接A、B两点的在竖直面内的弧形轨道ACB和ADB形状相同、材料相同,如图所示.一个小物体从A点以一定初速度v开始沿轨道
- 4一辆汽车不慎陷入泥坑,司机用图所示的滑轮组将汽车拖出.已知整个过程中,水平拉力F是1×104N,汽车沿水平方向匀速移动了
- 5I’m thirsty. Would you please give me something________.A.dr
- 6我们听到的“隆隆”的雷声是通过________传播的。我们先看见闪电后听到雷声,其原因是光传播的速度比声音传播的速度__
- 7The home ________ the lion is Africa while the koala bear is
- 8以下说法正确的是( )A.电动机是根据电磁感应原理制成的B.过路涵洞是利用连通器原理设计的C.利用费力机械可以省功D.
- 9读图,回答下列各题。小题1:图示河流所在地形区突出的地理特征是:( )①气候湿热 ②人口稀疏 ③城市密集 ④商品谷物
- 10下列有关基因突变的叙述,正确的是 [ ]A.若体细胞发生突变,一定不能传递给后代 B.基因突变可发生在个体发育的