题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001307-19663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001307-39703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001308-56336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001308-30049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001308-74433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001308-49207.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001307-19663.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001309-40050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001309-36625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001309-17942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001309-43445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-45483.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-46330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-19288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-83022.png)
解析
试题分析:(1)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001311-25916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001311-97553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001311-27991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001311-27746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001312-32803.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001312-71444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001312-62246.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001312-84612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001307-19663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-46330.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001309-40050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001313-26271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001313-37290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001313-20880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001313-40487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001314-11928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001314-76892.png)
又圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-45483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001314-92406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001314-91887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-45483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001315-60355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001315-12069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001315-31591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001315-16692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001315-32119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001316-96024.png)
故圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-45483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-19288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001310-83022.png)
点评:第一小题利用向量的坐标运算及椭圆定义可求得方程;第二小题判定曲线是否过定点只需看曲线方程中能否转化出与参数无关的关系式
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001301-56529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001301-24675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001301-45139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001302-53570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001302-28369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001302-21240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001302-22236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001303-31860.png)
A.4 | B.8 | C.16 | D.32 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001254-28466.png)
(1)已知在极坐标(与直角坐标系xOy取相同的长度单位,且以原点O为极点,以x轴正半轴为极轴)中,点P的极坐标为(4,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001254-53380.png)
(2)设点Q是曲线C上的一个动点,求它到直线l的距离的最小值.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001249-10238.png)
(1)若椭圆的长轴长为4,离心率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001249-37997.png)
(2)在(1)的条件下,设过定点M(0,2)的直线l与椭圆C交于不同的两点A、B,且∠AOB为锐角(其中O为坐标原点),求直线l的斜率k的取值范围
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-62421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-43629.png)
①曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-43629.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-70228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-43629.png)
③若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-43629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-31395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-48970.png)
④若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001239-43629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001240-83691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001240-27461.png)
其中真命题的序号是_____(写出所有正确命题的序号).
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001229-59292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001229-41506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026001229-33972.png)
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