1 . 设
,
,若
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85319a950bf16b9388aa81a5b36b67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf27b31754829c0e8317cc065b818375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c6c0a39713d7a6e5a7632a9baca161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
2 . 设正整数
,
,
,
满足
,
,且
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af75d3660ba0db1d648d6988cf76228b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f5802d489d206ef72b9b56776b0a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddb26e0ad35dc0a5f0da05e6c73c22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea712984ea5017140e20bee226fd5af.png)
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解题方法
3 . 从集合
中取出225个不同的数,组成递增的等差数列,满足要求的数列共有_________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b363e828f849dbc3f9fd78c392af1401.png)
您最近一年使用:0次
4 . 已知复数
满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a9137e444e84e73155155427abf664.png)
您最近一年使用:0次
5 . 设
,欧拉函数
表示在正整数1,2,3,…,
中与
互质的数的个数,例如1,3都与4互质,2,4与4不互质,所以
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a6ee507e7f24e01947d6427c785846.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc89a53c03cb86fb653bb82128f6cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39de1bc04496b97dcf401c669e6ab44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a6ee507e7f24e01947d6427c785846.png)
您最近一年使用:0次
解题方法
6 . 在长方体
中,
,
,
是
的中点,
是
的中点.若异面直线
与
所成的角为
,距离为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102d1119e59ab1d18c06784f9bf2be99.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50857bcc9b0377b73c2c0f98bae0f0a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2cda9e5690d90d24c318895db59a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102d1119e59ab1d18c06784f9bf2be99.png)
![](https://img.xkw.com/dksih/QBM/2021/8/21/2790864051216384/2809189144002560/STEM/03fef14d96074bb9ae526484c0fbf9ee.png?resizew=228)
您最近一年使用:0次
7 . 在平面直角坐标系
中,直线
与圆
:
交于
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a57857d07e8b7b02ad6e92b4bb64f1.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0924546f9c5593a4e4922e6e279bddec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a57857d07e8b7b02ad6e92b4bb64f1.png)
您最近一年使用:0次
8 . 已知集合
,则满足
的函数
:
共有___________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6e6405e2ecdfca6d442c5dc1c2f86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a725146ea1886e04e1b4ad57dc3dd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00ae997d26aca874ad9b7baf8aeaafe.png)
您最近一年使用:0次
9 . 已知正实数
,
,
满足
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fdba26ee6aaf3d0c6fc51f9fcc5935a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4cf6bb45abf82b5c6d4b390c246571.png)
您最近一年使用:0次
解题方法
10 . 用三个数字“3,1,4”构成一个四位密码,共有___________ 种不同结果.
您最近一年使用:0次