1 . 经过抛物线
的焦点F的直线交C于A,B两点,与抛物线C的准线交于点P,若
成等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03ca46c7962d9cb1decb333ec9c9a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee07d019346f09d45f08f61c153b858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce51f90428d59edb5e8ab31f0a12862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7826f195ae3e24d3fa2d5043d30db41.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知曲线
与
,下面结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2574349f25cec9c0e9c0f001989ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3681fa214c32fcd1a498e3ae441627.png)
A.![]() |
B.![]() ![]() ![]() |
C.不等式![]() ![]() |
D.记点![]() ![]() ![]() |
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4 . 已知函数
,若
存在两个不相等的实数根
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5f090340f798e2e4fb4331efde99d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
A.e | B.2e | C.![]() | D.![]() |
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解题方法
5 . 已知
,设函数
,若存在
,使得
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e34d5fafc69023b9fab8a7bc6f4d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b012136b0cf401a28b44da099fc87a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7日内更新
|
343次组卷
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5卷引用:河南省部分重点高中(金科未来)2023-2024学年高二下学期5月大联考数学试题
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6 . 已知椭圆
,P为椭圆上任意一点,过点P分别作与直线
和
平行的直线,分别交
,
交于M,N两点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2c3f55fdb98139efd3b2a33d727a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626e0edad44b72f12f97405175ecb096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7a89a2269d4a2a8a45d140469a9d22.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/cb40dae2b0f4048d3fabff25e6cbe443.png)
A.1 | B.2 | C.3 | D.4 |
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7 . 设
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd390093f9d7bf8c6a8c83ddfc7be77.png)
A.若![]() ![]() | B.若![]() ![]() |
C.![]() | D.![]() |
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2024-06-12更新
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解题方法
8 . 已知双曲线
的左、右焦点分别为
,根据双曲线的光学性质可知,过双曲线
上任意一点
的切线
平分
.直线
过
交双曲线
的右支于A,B两点,设
的内心分别为
,若
与
的面积之比为
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c29bab2a74ca02d30e0deed068b042f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac2f7fe4411d15bdeb4a72e98ea766e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd8fd746ffacd779249f171d80168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e1fcb61ab66a7f514b7bad31d1e2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed517e1f28671f9dac3264ced2720a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e68113ebf789709f8a98d9e5f2f8a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-11更新
|
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3卷引用:河南省南阳市淅川县第一高级中学2024届高三下学期三模数学试题
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解题方法
9 . 设
,
分别为双曲线
(
,
)的左、右焦点,过
且斜率为
的直线
与
右支交于点
,与
左支交于点
,点
满足
,
,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/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6f6a400b99697ddeeb95d7bb55e428.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc09520fb9d0ddef3b11171fd14695c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe3254ef6c8569f7091aa675ae99e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-10更新
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10 . 已知函数
,
.若
,则k的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66d136de0765dadc7de50091fe6335e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b54e116059077988c08fba55b2483c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01338e995c701acdd2d88ac5dc8dd7a8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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