名校
解题方法
1 . 已知右焦点为F的椭圆E:
上的三点A,B,C满足直线AB过坐标原点,若
于点F,且
,则E的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2a245381e615882ee5feb7793a1df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd2fe43cba206f61561a8f92fe53dd9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 在平面直角坐标系xOy中,已知椭圆C:
过点
,且离心率
.
(1)求椭圆C的方程;
(2)已知直线l:
与椭圆C交于A,B两点,若
的面积为2,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
(1)求椭圆C的方程;
(2)已知直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80e3a3b6c6513a45506f605638f5655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 双曲线
的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306cb1973334f9f5488a59375b1626a6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-27更新
|
696次组卷
|
3卷引用:山东省淄博市实验中学、齐盛高级中学2023-2024学年高二上学期期中考试数学试卷
解题方法
4 . 已知函数
,
为实数.
(1)求函数
的单调区间;
(2)若函数
在
处取得极值,
是函数
的导函数,且
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722bb5bfb098020c817d851dbb927de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c21027ff08411931d32c530b64fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8a229cc42ec3bc9c5e68523cf5ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24e9b3a955613bcb1a4fd32ab64c341.png)
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5 . 已知椭圆
,过点
的直线l与椭圆交于不同的两点A、B,O为坐标原点,若点O在以AB为直径的圆外,则直线l的斜率k的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c10f14aae6fb21e047ecb39cdf40c0.png)
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2023-12-12更新
|
427次组卷
|
3卷引用:山东省淄博市实验中学、齐盛高级中学2023-2024学年高二上学期期中考试数学试卷
名校
6 . 设
,
分别为椭圆
的左、右焦点,直线
过
且交椭圆于A,B两点,则以下说法正确的是( )
![](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/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
A.![]() | B.![]() |
C.|AB|的最小值为![]() | D.若![]() ![]() |
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7 . 已知命题
:
,
,那么命题
的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2939abf9f1755ea304eeb1e73063cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340998e9bb65c37c941055a0465ad729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2023-12-08更新
|
221次组卷
|
4卷引用:山东省淄博第七中学2023-2024学年高一上学期期中考试数学试题
8 . 对于实数
,“
”是“
”的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af145bb4a85b60b2cae0fc2bf374630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccaa6e503b61e9ae78d8439cba2e328.png)
A.充分不必要 | B.必要不充分 |
C.充要 | D.既不充分也不必要 |
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9 . 已知
是
的充分不必要条件,
是
的充分条件,
是
的必要条件,
是
的必要条件,现有下列命题:
①
是
的充要条件; ②
是
的充分不必要条件;
③
是
的必要不充分条件; ④
是
的充分不必要条件.
正确的命题序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
正确的命题序号是( )
A.①④ | B.①② | C.②③ | D.③④ |
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10 . 下列命题是真命题的有( )
A.![]() |
B.“![]() ![]() |
C.若幂函数![]() ![]() ![]() |
D.若函数![]() ![]() ![]() ![]() |
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2023-12-01更新
|
351次组卷
|
2卷引用:山东省淄博第一中学2023-2024学年高一上学期期中教学质量检测数学试题