名校
解题方法
1 . 已知
,
,且
则以下正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28312c2e94955358bbab610d1399e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127e88c3aa14648770487a295909cf95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7日内更新
|
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2卷引用:浙江省永嘉县上塘中学2024届高三下学期模拟考试数学试题卷
名校
2 . 已知空间两条异面直线
所成的角等于60°,过点
与
所成的角均为
的直线有且只有一条,则
的值可以等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.30° | B.45° | C.75° | D.90° |
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2024-06-11更新
|
948次组卷
|
3卷引用:浙江省温州市2024届高三第三次适应性考试数学试题
名校
解题方法
3 . 已知函数
,则关于
方程
的根个数不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dc99a83165850cfdb3865907ca7949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfde98d1334bbb9375d8df7130e379c.png)
A.0个 | B.1个 | C.2个 | D.3个 |
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2024-06-08更新
|
1038次组卷
|
2卷引用:浙江省温州市2024届高三第三次适应性考试数学试题
4 . 已知
的最小正周期为
,
(1)求
的值;
(2)若
在
上恰有
个极值点和
个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6860740e5b0ae41e1f74ddf51a10656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff2c63586f5ca0a0bec4ec2a3883b51.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0883a142ae4d2002e32e355520c0d1a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2832f82fdeafa819c92ca5c1e74eb5ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-06-08更新
|
423次组卷
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2卷引用:浙江省温州市十校联合体2023-2024学年高二下学期期中联考数学试题
5 . 边长为2的立方体被一个平面所截,截得的截面图形面积最大值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 不计容器壁厚度的有盖立方体容器的边长是1,向其中放入两个小球,则这两个小球的体积之和的最大值是_____ .
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解题方法
7 .
的角
对应边是 a,b,c ,三角形的重心是 O.已知
.
(1)求 a 的长.
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9fbd659c7e4424a2ea5a20a86c0cf7.png)
(1)求 a 的长.
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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8 . 若
,
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88758250b53fb7c638770066b3e3e1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af06f5d56ca75cc7188ab3d542397eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbae4853231076a1c59a0d37eeaf7469.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知椭圆
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
,左右顶点分别是
,
,椭圆的离心率是
.点
是直线
上的点,直线
与
分别交椭圆
于另外两点
,
.
(1)求椭圆的方程.
(2)若
,求出
的值.
(3)试证明:直线
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f87ec1b06e89b681bdc2b4523f5f4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38729d36302cda29e4878e9a094b65f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a64d2e963e29c2c691bb297ec30d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c6423c70e96d862ca12998a22d676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求椭圆的方程.
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830284dc0954ca6c4d7e9cd2fe239029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf5909a2b109d048bd7c7a0377a769f.png)
(3)试证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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10 . 给定定点
,对任意可能的
,及函数
的图象上的任意可能的点
,
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71885f023172807ad43f2c9a670aa960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6499f194456d6ac45326a33c74fd781b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4323dcce28ed1206e6ff65600d0dc9e7.png)
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