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1 . 函数
的最小正周期为π,则ω的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d097e4e0c1b1499460d4fbc3717eac.png)
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2 . 如图,在三棱锥P-ABC中,
底面ABC,
,
,E为PC的中点,点F在PA上,且
.
平面PAC;
(2)求平面ABC与平面BEF所成的二面角的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3cc9cccfb4c260dac05f4ed57e8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97aa0d985b33b0d82571b0b3a383e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216b9a949b87bd815f5937501a3c97ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
(2)求平面ABC与平面BEF所成的二面角的平面角的余弦值.
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3 . 在
中,内角A,B,C的对边分别是a,b,c,
,且
.
(1)求边b的长;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7c065a2b614dd7ea7a092c8822ed89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b01e6d27d3089eb927bc908eb0e97a.png)
(1)求边b的长;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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4 . 已知抛物线C:
,O为坐标原点,F为抛物线C的焦点,点A,B为抛物线上两点,且满足
,过原点O作
交AB于点D,若点D的坐标为
,则抛物线C的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cee097d4fe948c3d4f1b5c28b24adf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.png)
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5 . 已知向量
,若
,则m=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea30f581df93bd5200bb1d85d7d7512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
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6 . 下列统计量中,能刻画样本
的离散程度的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
A.样本![]() | B.样本![]() |
C.样本![]() | D.样本![]() |
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7 . 已知
,关于该函数有下面四个说法,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d07950a0c2ee36adc1affbbdec54088.png)
A.![]() ![]() |
B.![]() ![]() |
C.当![]() ![]() ![]() |
D.![]() ![]() ![]() |
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8 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a728897806ced97c8ce6bd517df5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0945b9f47f37e913573a970c9c0f66e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知曲线
在点
处的切线为
.
(1)求直线
的方程;
(2)证明:除点
外,曲线
在直线
的下方;
(3)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1026c00ff9d78946b4984d09de77995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f84134092f31767ff9f7e8200a79fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)证明:除点
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa83d5be9b28fcfce25c9bfca0d3d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab873c4173a3992c043fbf32cab4d8c.png)
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2024-04-26更新
|
1300次组卷
|
4卷引用:云南省开远市第一中学校2023-2024学年高二下学期期中考试数学试题
2024·云南红河·二模
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解题方法
10 . 已知椭圆
的右焦点为
,直线
交
于
两点,且
轴,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28eb240b0cc60a9a87197ccba88c37a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6bbfead690cce95fbdc4a52c65f3e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ce9cb2a356503a970d6466c75b564c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff24d4627c643c5aeee873c6e1e626aa.png)
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