题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133655-68762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133655-39874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133656-86592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133656-17673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133656-18622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133656-39464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-94480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-19088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-18574.png)
(1)求椭圆E的离心率;
(2)判断直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
(3)若圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-25218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-69067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-43837.png)
解析
试题分析:(1)求椭圆E的离心率,只需列出关于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133659-78788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-94480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133659-69429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133659-82452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-94480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133700-53425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133700-96784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-19088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133700-80490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133700-62413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133700-29500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-19088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-25218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133701-57204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133701-30651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133701-29188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133701-59140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133702-95153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133702-11485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-43837.png)
【解】(1)设椭圆E的焦距为2c(c>0),
因为直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-94480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133659-69429.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133702-92895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133702-64513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133703-47111.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-69067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133703-61658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133703-94387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133703-33703.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133704-69331.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-19088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133704-13009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133704-63168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133704-73224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-19088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133705-97489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133705-52032.png)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
(3)由圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-25218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133705-82312.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-19088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133706-16063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-13893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133701-29188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133701-59140.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133702-95153.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133702-11485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133657-88864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133658-43837.png)
核心考点
试题【在平面直角坐标系中,如图,已知椭圆E:的左、右顶点分别为、,上、下顶点分别为、.设直线的倾斜角的正弦值为,圆与以线段为直径的圆关于直线对称.(1)求椭圆E的离心】;主要考察你对椭圆的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133637-92272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133638-22768.png)
(1)求动点Q的轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133638-21291.png)
(2)已知A,B,C是轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133638-21291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133638-43003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133638-89624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133627-35799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133627-67036.png)
(1)求动点Q的轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133627-97074.png)
(2)点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133628-74649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133628-42236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133627-97074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133628-81210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133628-24897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133620-93969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133620-94187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133620-76083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133620-53722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133621-25890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133621-57969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133621-67774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133620-53722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133621-56788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133622-13172.png)
A.0 | B.1 | C.![]() | D.2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133547-62301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133547-17946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133548-45074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133548-47628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133548-96494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133548-69356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133549-68491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133549-94461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133549-65436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133549-74363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133548-47628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133550-53301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133550-97501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133550-34722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133550-50072.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133548-45074.png)
(2)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133551-94648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133551-56994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133548-47628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133551-56994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133541-76768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133541-10738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133541-86838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133542-61752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133541-86838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023133542-85896.png)
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