名校
1 . 已知直线
和平面
,则下列命题中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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2卷引用:江苏省泰州市2024届高三下学期四模数学试题
名校
解题方法
2 . 已知向量
,向量
在
上的投影向量为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8fdcf74b1f031d3fa7f4c397067e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1e8375f4f637c21578dcfda549a1a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
A.-2 | B.-1 | C.1 | D.2 |
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2卷引用:江苏省泰州市2024届高三下学期四模数学试题
3 . 已知抛物线
的焦点为
,点
在
上.若以
为圆心,
为半径的圆被
轴截得的弦长为
,则该圆的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966226b2b30f1a47a3593b6eed1bdcfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac654a052f98d1ccb7fede1f122cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:江苏省泰州市2024届高三下学期四模数学试题
名校
解题方法
4 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517e1b2b7ccec4c89b9b0d8f463c0ef3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:江苏省泰州市2024届高三下学期四模数学试题
名校
解题方法
5 . 函数
的定义域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff037aac11c6b7f1bc21f878fbd2070.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:江苏省泰州市2024届高三下学期四模数学试题
名校
6 . 已知
为虚数单位,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4e224c44c0bac2b6695c0c24483a56.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:江苏省泰州市2024届高三下学期四模数学试题
名校
7 . 已知非零数列
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ed6d6b9f33bdfd6b74bb450334643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc677e9def14b7931d3d11738542704.png)
A.8 | B.16 | C.32 | D.64 |
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3卷引用:江苏省盐城市盐城中学2024届高三全仿真模拟考试数学试题
解题方法
8 . 已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若
求
在区间
上的极值点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0763428bb69c5eddc5010d1866b9241.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c357fbf5c5d7fb211fac7b575c77d4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
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解题方法
9 . 在正三棱柱
中
,
的重心为
,以
为球心的球与平面
相切.若点
在该球面上,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141ef400af3ec09829c4a640867acea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c510b85dfbca0e3ab0744655d77e8c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.存在点![]() ![]() ![]() |
B.三棱锥![]() ![]() |
C.若直线![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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解题方法
10 . 已知函数
,若函数
的图象关于点
对称,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10a8688d759038373ab54a6970a3073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88192b7d8d507a2fd0f327a11313e40c.png)
A.-3 | B.-2 | C.![]() | D.![]() |
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