1 . 若向量
与
平行,则实数
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba949747a405d77e73ad6d77b7594ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b2a1487207c95c201e5a5de0274b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知椭圆
的离心率为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc790695d3ff61ea27cce0777481053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.3 | B.![]() | C.2 | D.![]() |
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3 . 设
,
是椭圆
(
)的左、右焦点,过
的直线
与
交于
,
两点,若
,
,则
的离心率为( )
![](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/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85d02822aed80dc070e71f496310bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa7d147008033bfc05fe96632c28480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知抛物线
的焦点
是圆
的圆心,过点
的直线
,自上而下顺次与上述两曲线交于点
,则
的取值范围为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9df0d79e42d86b0def4caa10dffa75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532fb9d8a0715b513e9e3f144ea264e9.png)
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5 . 双曲线
的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e000e16ef8a63cb9133a36f948b6632c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知双曲线
,则双曲线的两条渐近线的夹角是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
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7 . 在空间直角坐标系中,点
关于平面xOz的对称点为B,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e5e815fc2bbf03d424b52fa920dd0e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a8055e5fb529a00e1dcc98457b6e4a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e5e815fc2bbf03d424b52fa920dd0e.png)
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8 . 已知椭圆
的离心率为
,且过点
.圆
的切线l与椭圆E相交于A,B两点.
(1)求椭圆E的方程;
(2)直线OA,OB的斜率存在为
,
,直线l的斜率存在为k,若
,求直线l的方程;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b33328faae2d2d4921900e97424de5.png)
(1)求椭圆E的方程;
(2)直线OA,OB的斜率存在为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a08a512b63d60ae9ef4315ed8615542.png)
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9 . 已知双曲线
的一条渐近线的倾斜角为
,则此双曲线的离心率
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
A.2 | B.![]() | C.2或![]() | D.![]() |
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10 . 已知抛物线
的焦点为
,点
在该抛物线上,且
,则
到
轴的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5590fa7c70bd0a95eb7179a39d2157f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c21d430a0c8c8abee1de7e46523233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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5卷引用:河北省南宫市私立丰翼中学2023-2024学年高二下学期第三次月考(5月)数学试卷