名校
解题方法
1 . 已知
,
分别是方程
和
的根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ce62cb82012f3746fe0ca1280bcb0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb50d819aba08326c4b91f5085d86a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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名校
2 . 若函数
,则对于满足
的任意实数
,有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc092a02fca5a3719f4a4c40308fe21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a633afe66a40f866029ceeae39f353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
3 . 已知
,则
的大小关系是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcb030e14770eae4d232255bb70e530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
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名校
4 . 设集合
,现对
的任意一非空子集
,令
表示X中最大数与最小数之和,则所有这样的
的算术平均数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1fe401454b959800d64bfece4cf231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6363a3aacd1569dc144cc27ed85ba6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6363a3aacd1569dc144cc27ed85ba6f6.png)
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5 . 一个自然数若能表示为两个自然数的平方差,则称这个自然数为“可爱数”.比如
,16就是一个“可爱数”.在自然数列中从1开始数起,第2023个“可爱数”是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86423fa7639e143883a4a4e02a7a57.png)
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解题方法
6 .
,且
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238182ab55a63ea62b42ec61d5ac9bb5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca62e37fc045990208dc68bcc7ee690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1377f2a513fc287a4a3d6ca384b4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238182ab55a63ea62b42ec61d5ac9bb5.png)
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名校
解题方法
7 . 请写出满足以下两个条件的一个函数:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
__________ .①
,都有
;②
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3881fa7fc347ccb2d46de69dc041907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa10bae6ce6e91bf99c580d102947b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654142e48615cd3b9af111a8020ffbd0.png)
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8 .
是
所在平面上一点,满足
,则
的面积与
的面积的比值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf83e3277d50b5c3a09aca5609390759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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9 . 已知集合
,则集合
与
的关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8f4cbaa24fb8d2f502ec92bfc89677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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10 . 已知集合
,则有序三元组
的个数是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce203aa20cf4dc2918c5ab08fa6451f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26f5cbea7b989c0bb4b18f2a9bd27bd.png)
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