1 . 双曲线
的渐近线方程与圆
相切,则此双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64965cf8f6b65fa6c68495ee334e9ced.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 在直角坐标系
中,直线
的参数方程为
(
为参数),以该直角坐标系的原点
为极点,
轴的正半轴为极轴的极坐标系下,圆
的方程为
.
(1)求直线
的普通方程和圆
的圆心的极坐标;
(2)设直线
和圆
的交点为
,
,求弦
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06439764f2f3d815fa9d588b8424c76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c99ea8a534925855ee856a19c42cb8.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2016-12-04更新
|
431次组卷
|
3卷引用:2015-2016学年重庆市第一中学高二4月月考文科数学试卷
名校
3 . 已知双曲线
的离心率为
,且点
到其渐近线的距离为
,则
的实轴长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f674b4c933468d4fe193de61392b7ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 抛物线
的焦点到直线
的距离是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e52beeb1ddfe78e1afac18571f5ff7b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-05更新
|
433次组卷
|
2卷引用:2016-2017学年重庆巴蜀中学高二文上月考一数学试卷
11-12高二下·河北唐山·期中
解题方法
5 . 若点
是曲线
上任意一点,则点
到直线
的最小距离是_______ .
![](https://img.xkw.com/dksih/QBM/2012/7/4/1570913966055424/1570913971167232/STEM/1484876fea074ee4b60c68440722d81b.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2012/7/4/1570913966055424/1570913971167232/STEM/7cc2bf0d917e4d6ea1961bb7955e703e.png?resizew=85)
![](https://img.xkw.com/dksih/QBM/2012/7/4/1570913966055424/1570913971167232/STEM/1484876fea074ee4b60c68440722d81b.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2012/7/4/1570913966055424/1570913971167232/STEM/8552f685c6e34b5e8ccaccbfe7c45fb0.png?resizew=63)
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13-14高二下·重庆·期中
6 . 已知抛物线
的焦点
到准线的距离为
.过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f12c805c7ffd717cdc9d222a7d06a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220d4273f6ebaa81451baf8a9e0c411d.png)
作直线
交抛物线
与
两点(
在第一象限内).
(1)若
与焦点
重合,且
.求直线
的方程;
(2)设
关于
轴的对称点为
.直线
交
轴于
. 且
.求点
到直线
的距离的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f12c805c7ffd717cdc9d222a7d06a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220d4273f6ebaa81451baf8a9e0c411d.png)
作直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3d196cfee8345bd28a2f3814b676f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e4cb1a0ea1b684e80129f2415ef2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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7 . 点
关于直线
对称的点坐标是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fd94c3f033a29c152ecefe94ebeb0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知集合
,
,若
,则
的最小值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74341b662fde4eb6939fcd90fa0ea11e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665f8bcf4ab0ca82a51bf0eddf175cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede280b7d4529ca9afb08bff174225ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c918ca5d4e6d46ed130f85e5fa608d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知
,
是双曲线
的左、右焦点,且
,点P是双曲线上位于第一象限内的动点,
的平分线交x轴于点M,过点
作
垂直于PM于点E.则下列说法正确的是( )
![](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/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4f7e7f33963df24d6a46067b4677e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365e4d3b531424ccfd5a68c7975c7ee6.png)
A.若点![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() |
D.若![]() ![]() |
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解题方法
10 . 已知M为双曲线C:
上的动点,过点M作C的两条渐近线的垂线,垂足分别为P,Q.
(1)求
的值;
(2)设
,
分别为双曲线C的左、右顶点,过点
的直线l与双曲线C交于A,B两点(点A在x轴上方),R为直线
,
的交点,若点R的纵坐标为
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751d11a71e1fdf02c4a990220ca4e67d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a696a182fff038a86b2bbe8ca099442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668438e15423368cd744445e824d18a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa585b9257ed0798213a9ae9b87d291.png)
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