解题方法
1 . 已知集合
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee26bc591f901321c77d53736fc988a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 已知第一只口袋里有2个白球,3个红球,5个黄球,第二只口袋里有2个白球,4个红球,4个黄球,若从两个口袋中各取一球,则取出的球颜色不同的概率是___________ .
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名校
解题方法
3 . 若
,
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc93326b8dcc81601e084c2f60981513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8285ecf0648f6dccc0ab3bfd23642290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca80d80b6e1577762585b69145736b.png)
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2022-06-22更新
|
702次组卷
|
2卷引用:2022年全国高中数学联赛江苏赛区苏州市选拔赛试题
名校
4 . 已知
,则
=_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f8d4e1490b322dc1c2c705d10e79b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c0603b1125253c61de9c383f1971bd.png)
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2021-10-19更新
|
417次组卷
|
4卷引用:江苏省徐州市贾汪中学2020-2022学年高一下学期春季竞赛数学试题
名校
5 .
内接于以
为圆心,
为半径的圆,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8a9b2c09945dee87e2e762559c25e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
您最近一年使用:0次
2021-07-31更新
|
303次组卷
|
2卷引用:江苏省徐州市贾汪中学2020-2022学年高一下学期春季竞赛数学试题
解题方法
6 . 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)
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7 . 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)
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解题方法
8 . 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)
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9 . 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)
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