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1 . 用反证法证明命题“若
,则
或
”的过程中,应当作出的假设是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9e131cdd242d56b6dba05ab3363ef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec336faee8689281a6f6b465e7fcff9.png)
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2 .
的四次方根是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae262ea81e3936868b88f4ddc474a6ce.png)
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3 . 集合
可用列举法表示为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd75d1fff45f37a29a5dbda4bd667ecc.png)
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2023高一上·全国·专题练习
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4 . 含有三个实数的集合可表示为
,也可以示为
,则
的值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ded19c8b064a3202b2f0a02f4709d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac2f1fc383ede37e59756bad4e8fd3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e459f8710f7c254e569b55428c47b770.png)
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2023-10-23更新
|
572次组卷
|
3卷引用:上海市南洋模范中学2023-2024学年高一上学期期中数学试题
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5 . 集合
有10个元素,设
的所有非空子集为
,每一个
中所有元素乘积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5010f1283c51f4e38d6b77a38ddebb34.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeaad7780b3a9a428a5091c521ac32d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493d898f288b39551e70ef5452225502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bedfdfc0df673b8f8851df598a7f779f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b873dad2f5f01a0d1bc9d1a41c97ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5010f1283c51f4e38d6b77a38ddebb34.png)
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解题方法
6 . 已知全集为
,集合
,
,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa6283b951d48d67fb87b7ae9c765c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307ed6d5259c3db80cafabae4e74a7ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a37547d759ca15fd50dfe8cf5480e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e50e0a779a962ccc2c948d555d5c81.png)
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8 . 设
,
,
,
,
均为实数,若
对
恒成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca2589a1dec0d619b8fa06395078f77.png)
________ .
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a811abe2953e3239b90fd4313758f354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca2589a1dec0d619b8fa06395078f77.png)
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9 . 设
,
是方程
的两个实数根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3827451f28a215c809134f4ce584a9b2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00af836e8f77cb8d353d104ec8412ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3827451f28a215c809134f4ce584a9b2.png)
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解题方法
10 . 已知全集
,若
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64d0e19b26c07de37c071f56ba482cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb4556523b418277afa474b21212bb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17729c79a4fd8062bc13462ccfc34b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efccb14cb8e11e70fa8c9ab3c5b1a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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