1 . 下列命题是真命题的是( )
A.命题“![]() ![]() |
B.![]() |
C.“![]() ![]() ![]() |
D.若![]() ![]() |
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解题方法
2 . 已知O为坐标原点,
,
是椭圆C:
(
)的焦点,过右焦点
且垂直于x轴的直线交C于A,B两点,若
,则C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/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 焦点为
的椭圆
上有一点
,若线段
的中点落在
轴上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
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4 . 动圆
经过定点
,且与
轴相切,则圆心
的轨迹为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908c9588178c02002157ad54eb440a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.圆 | B.椭圆 |
C.双曲线 | D.抛物线 |
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5 . 已知
,
,直线
,
相交于
,直线
,
的斜率分别为
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b8c639c851e0044ee22020324c5570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc7d561b6e56aabf90e7c585c04f0e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
A.当![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() |
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6 . 已知方程
表示焦点在
轴上的椭圆,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8d305f79880c9dfe196c8b4ced7c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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7 . “
”是“
”的_________________ .(填“充分不必要条件”、“充要条件”、“必要不充分条件”、“既不充分也不必要条件”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833235354b55bfcdf5467deaca80d389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a570176f8323564479693bb407332710.png)
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解题方法
8 . 已知抛物线
的准线与圆
相切,请写出一个抛物线
的标准方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cc21d5018021ed6210ef52e27a3783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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9 . 经过椭圆
的左焦点
的直线交椭圆
于
两点,
是椭圆
的右焦点,则
的周长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6463fe3916287357633ec5d1aa98ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
A.24 | B.12 | C.36 | D.48 |
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2024-03-10更新
|
371次组卷
|
2卷引用:四川省雅安市2023-2024学年高二下学期开学联考数学试题
10 . 已知函数
在某点处的切线的斜率不大于1,则切点为整点(横纵坐标均为整数)的个数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4666daa4e9d378c69e9d1943f974bb61.png)
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