解题方法
1 . 已知椭圆
:
的左,右焦点分别为
,
,
为坐标原点,若以
为直径的圆与椭圆
在第一象限交于点
,且
是等边三角形,则椭圆
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e8df70d56fe97837cdfb0cf5de3fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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2 . 在等差数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
中.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4b6e0fbef6c6f88e753598e41ff023.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4f2fed3149b0d2ac1342f370dce98e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1203b8fc51a9c85b2d3b02b1a56e3b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4b6e0fbef6c6f88e753598e41ff023.png)
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解题方法
3 . 双曲线
的离心率为
,则其渐近线方程是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8deb4fc9c16ea91b834d08433779716c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
您最近一年使用:0次
2024-03-03更新
|
298次组卷
|
3卷引用:陕西省西安市周至县第四中学2023-2024学年高二上学期期末数学试题
解题方法
4 . 过抛物线
的焦点F分别作两条相互垂直的直线
,
,若直线
与抛物线C交于
,
两点,直线
与抛物线C交于
,
两点,且
,则四边形ADBE的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3999dccfda14e5490c27ebb7a8abcd30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0937e08589ac763a619a254b6c67f49c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
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解题方法
5 . 直线
被圆
截得的弦长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a122da02cb904efd6a1d94780b3c1a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b078a316c55cb8aa5917e4ad739e715.png)
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2024-03-01更新
|
525次组卷
|
2卷引用:陕西省西安市鄠邑区2023-2024学年高二上学期期末考试数学试题
6 . 已知偶函数
,则不等式
的解集是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333266b16186660bcf2b92482de62cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a9fb2f3a9634cdb2b48ea1edb4569e.png)
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名校
7 . 已知
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc537b6ae16e7b301b35e841073c848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2024-02-29更新
|
413次组卷
|
4卷引用:陕西省汉中市龙岗学校2023-2024学年高一上学期期末数学试题
名校
解题方法
8 . 已知标准方程的双曲线的一条渐近线方程为
,且过点
,则双曲线的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238f0ea276a00ae8d681ce00cc11c8ea.png)
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9 . 直线
的方向向量为
,且
过点
,则点
到
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb48e69bb5f2a423e59115b8b34378e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6dcd362a44588747e88b206e7c5ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e64fd5823f70ff23c7be7f4b8a1eb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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10 . 过抛物线
的焦点作直线交抛物线于
两点,若
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58168edb2306922360573f6ba14e90c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
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2024-02-28更新
|
455次组卷
|
3卷引用:陕西省西安市周至县第六中学2023-2024学年高二上学期1月期末考试数学试题