1 . 已知正四棱台
的上、下底面边长分别为2和4,高为
,则该正四棱台的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若向量
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26f74f3e5ef1f5f6a56d0649a3a6ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f9b45ccb1a3236766d94cd24fccd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03267ec183b76191ada83cc5a20ba9c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 在
中,已知
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09947ea5c9ea0fe010027f2aa91138b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
A.1 | B.![]() | C.![]() | D.![]() |
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4 . 设
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b94f151c00959a1cd3946e7f8405337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0153f1f52c440bb25e9d644bf39f57e.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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解题方法
5 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fccb1f097bdd282478adb02a7d82ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7053bc7ca3ec884ac173594d3c91111a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991a4493cfd34d25c6ffbadc12c27978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c98b14b10c0acef3c3d783984f4bb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.5 | B.2 | C.3 | D.4 |
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7 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cc191be30be5ccbeaabe63f13c46fd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cc191be30be5ccbeaabe63f13c46fd.png)
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2024高三·全国·专题练习
8 . 已知函数
,若
,求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119e0713bbc5de3d2127f047aa9e935b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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9 . 已知
的二项式系数之和是64.
(1)求展开式中含
的项的系数;
(2)写出展开式二项式系数最大的项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e97a55fecff2e9affe29c5e30ec86c1.png)
(1)求展开式中含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
(2)写出展开式二项式系数最大的项.
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10 . 已知函数
在
时取得极值.
(1)求函数
的单调区间;
(2)求函数
在区间
上的最小值;
(3)若
有两个零点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e896d105cce0a6ea3003a78dae6346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed118174009b84dad78216de99db52e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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