解题方法
1 . 已知
,
,若
和
是函数
的两个不同的极值点,则
的取值范围内的整数是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8090d2752e3330b66fffcd95694b0c0f.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/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc8f775c0c874c4ea920136a91db8f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知两条直线
和
,以下说法正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9813ce6023ea2c65f61766742e2e4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32dabc72c117a008535be80af2b37faf.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() ![]() |
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解题方法
3 . 某同学要从物理、化学、生物、思想政治、历史、地理这六门学科中选三门参加等级考,若要求物理和历史这两门学科至少要选一门,则这名同学选科组合方式共有的种数是( )
A.12 | B.16 | C.20 | D.32 |
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解题方法
4 . 设
是两个不同的平面,
是两条不同的直线,则“
”的充分条件是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7e4aa1d8a4aac3f7b3f05d1ccd75b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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5 . 给出下列4个命题:
①若事件
和事件
互斥,则
;
②数据
的第
百分位数为10;
③已知
关于
的回归方程为
,则样本点
的离差为
;
④随机变量
的分布为
,则其数学期望
.
其中正确命题的序号为( )
①若事件
![](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/516cc3b619715f0309749aaed4fd2e66.png)
②数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22d37bfc7b992a08acfa415bcd46677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa86faa9bfef703aead8c2606684dc5.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b0e64e3c752d3ef6501692e4fd6bcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8833ba3833480237f47774984958c01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9862b46c3ae76bb684a7e534f97eefad.png)
④随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2dbae74a31ee10b99b31ec01bd35b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433c7aab3056671b683c392db76117c7.png)
其中正确命题的序号为( )
A.①② | B.①③ | C.②③ | D.②④ |
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6 . 欧拉公式
把自然对数的底数
,虚数单位
,三角函数
和
联系在一起,被誉为“数学的天桥”.若复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a40290b41632b9c0e0c2129adb9e501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f3d62c695600f7ae821e6e49c7e34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知定义在
上的函数
的导数满足
,给出两个命题:
①对任意
,都有
;②若
的值域为
,则对任意
都有
.
则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d953ea0a5a6b535307b0230b673db30.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd423a80d5b6fea8753fa1813cfbcc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f0ba205794d6fbb4a6b4d4ad6a499c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acde29845a8cbac1e6573ccca56e3756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587df831df1af5e7dd6be5fdc7bd8ce.png)
则下列判断正确的是( )
A.①②都是假命题 | B.①②都是真命题 |
C.①是假命题,②是真命题 | D.①是真命题,②是假命题 |
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8 . 设
,将函数
的图像沿
轴向右平移
个单位,得到函数
的图像,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e7ff11cec5de2ea44f1fbca11ee887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
A.函数![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() ![]() |
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解题方法
9 . 下列函数中与函数
相同的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 对于以下两个结论,说法正确的是( )
结论①:设
,若任取
,且
,则必有
;
结论②:设
,则有
对
恒成立.
结论①:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a68b7d43fd2dc80e83e8e982309941f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896e545e7455ca89d7cb92dffd9f9a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
结论②:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a469884b4b3d37ea34bde248ca70c3ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ef03ad2172c334e76f466b8ef9cc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
A.①对②对 | B.①对②错 | C.①错②对 | D.①错②错 |
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