名校
解题方法
1 . 在生活中,可以利用如下图工具绘制椭圆,已知
是滑杆上的一个定点,D可以在滑杆上自由移动,线段
,点E在线段
上,且满足
,若点E所形成的椭圆的离心率为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7134d8fbd82a4e5306f9ebe50ba0c066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f64602885fd0a0cc34027c3fe011a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2215de6d4986954c95a5b711fd05aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/e0e57cf4-28b8-4a0c-a4d5-18612eeb0f0c.png?resizew=197)
您最近一年使用:0次
2023-02-20更新
|
715次组卷
|
2卷引用:陕西省西安市长安区2023届高三下学期质量检测理科数学试题
名校
2 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
的左、右焦点分别为
,
,点
为椭圆上不同于左、右顶点的任意一点,
为
的内心,且
,若椭圆的离心率为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434249d6640b0c1a712d215cf8b83d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9df1061c3ba5151ba2f7359acaf356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ce5f8dcc9be183875323c53b0dfc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-01-11更新
|
2046次组卷
|
7卷引用:陕西省商洛市2019-2020学年高二上学期期末数学(文)试题
陕西省商洛市2019-2020学年高二上学期期末数学(文)试题辽宁省辽阳市2019-2020学年高三上学期期末考试数学(理)试题辽宁省辽阳市2019-2020学年高三上学期期末考试数学(文)试题2020届高三1月(考点08)(理科)-《新题速递·数学》2020届河南省南阳市第一中学高三下学期第一次月考数学(理)试题(已下线)2020届高三3月第01期(考点08)(理科)-《新题速递·数学》(已下线)专题12 三角形的心的千万应用-备战2020年高考数学二轮痛点突破专项归纳与提高
10-11高三·陕西·阶段练习
解题方法
3 . 已知向量
动点
到定直线
的距离等于
并且满足
其中
是坐标原点,
是参数.
(1)求动点
的轨迹方程,并判断曲线类型;
(2) 当
时,求
的最大值和最小值;
(3) 如果动点M的轨迹是圆锥曲线,其离心率
满足
求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b373ec420133b77ef8ae203ec2a822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7cb9fef4d5f2e8f3d99976ca14b04bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed86fb7c698017445d6bf10f4924c843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2) 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a2a34b4317deffa40ba34e269c2b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26fa2f3e863bb758242bf75c282d288c.png)
(3) 如果动点M的轨迹是圆锥曲线,其离心率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd0744dd64205060f6a065c877e021f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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