名校
解题方法
1 . 若
,则函数
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432c90d1a65758bd89d362892a5d258e.png)
A.6 | B.9 | C.12 | D.15 |
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2024-01-06更新
|
1081次组卷
|
2卷引用:2024年江苏省扬州市学业水平考试数学模拟试卷
解题方法
2 . 若函数
在
上单调递减,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68f98ea32b68dd4a235e93bf58ed17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 若长方体的长、宽、高分别为
,
,
,且它的各个顶点都在一个球面上,则该球体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
,
,则下列不等式恒成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 已知函数
的最小值是
,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e23af39319a914208d874977fced07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-04更新
|
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2卷引用:2024年江苏省扬州市学业水平考试数学模拟试卷
6 . 如图,在四棱锥
中,底面ABCD是直角梯形,且
,
,
平面
,
.
;
(2)已知三棱锥
的体积为
,求直线PC与平面PAB所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3493ae59c386883c6a7eab670ee251c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4299cca48ff6abfb252ef73b5e62317d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c231fb9aeaf4b73c2d835bb4c3d42b.png)
(2)已知三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1978b59fd41a7e45b66355645142aa4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
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名校
7 . 函数
(
,
)的图象过定点
,则
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591b7f59f6bf3dbbef8249861be7cd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-04更新
|
610次组卷
|
2卷引用:2024年江苏省扬州市学业水平考试数学模拟试卷
解题方法
8 . 化简
,得( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abfa9185416d65ee507220d5c93e98d0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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1564次组卷
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2卷引用:2024年江苏省扬州市学业水平考试数学模拟试卷
9 . 已知复数
(
是虚数单位),则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb578edde04fb06407d97e8f2614cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
A.![]() | B.1 | C.2 | D.3 |
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名校
10 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22f8d9188279429b395c30b2898ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e60807fbd88fecba0d29d0fee09232c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-04更新
|
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|
2卷引用:2024年江苏省扬州市学业水平考试数学模拟试卷