解题方法
1 . 已知
是定义在R上的偶函数,且
,当
时,有
,则
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d002d8423808d081345bdac6c25f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132e592f60387d2a5b275c147a8b93e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c47371c38efe1543b4842b8e963a8b.png)
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2 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c64547782a88bfeaf3bebb15e539034.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c64547782a88bfeaf3bebb15e539034.png)
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3 . 设抛物线
与
相切,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d45d146c1df586e69bad35394a85bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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4 . 把抛物线
平移得到抛物线m,抛物线m经过点
和原点
,它的顶点为P,它的对称轴与抛物线
交于点Q,则图中阴影部分的面积为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafae84e7fe39dc5b694c39405201d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc0d82cb174d173b7e36937c3f99f591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafae84e7fe39dc5b694c39405201d32.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/4/8d869b80-b399-4e6f-aadf-e12d583d231b.png?resizew=147)
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5 . 已知复数
,满足
与
的实部和虚部均属于
,则
在复平面上形成轨迹的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f170b364fb4fa0c28f82355207cf3cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0def265b090123885b05ec575b0bbc96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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6 . 若
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afa6d904c3a9179ca4f6d389f3f19f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8392b22c8c649e8fbfa7251c7b935607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
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2023-04-06更新
|
101次组卷
|
2卷引用:2018年清华大学暑期营数学试题
7 . 已知
,将
从小到大排列的结果是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf4c76d24ba7a68ad39a0c3aa458533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ed6f4306b9429b211ad3b88e13492f.png)
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8 . 已知方程
只有1个解,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f07af0e00098115f3e90f90c98c0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 令
表示正整数n的所有数字的乘积,如
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f7f054f55c3c5a75d9a2c82a513677.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450aef8109c4f6c2c79c98dca2903aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb7fe6d2c610b3d5e35f80056617929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74212326984ef23f75584820eb121d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f7f054f55c3c5a75d9a2c82a513677.png)
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