1 . 下列语句不是命题的有( )
①若
,
,则
;②
;③
;④函数
(
,且
)在
上是增函数.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46196aec06c25d5c8f9b1d3a8f50a889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069390dd908ff203327958117a226593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e840fbe63d521744ffabaa7645c21fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
A.0个 | B.1个 | C.2个 | D.3个 |
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2 . 下列语句是命题的是( )
A.二次函数的图象太美啦! | B.这是一棵大树 |
C.求证:![]() | D.3比5大 |
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解题方法
3 . 下列说法正确的是( )
A.命题“若![]() ![]() ![]() ![]() ![]() ![]() |
B.双曲线![]() ![]() ![]() ![]() |
C.命题“![]() ![]() ![]() ![]() |
D.若一组样本数据![]() ![]() ![]() ![]() |
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4 . 已知下列四个命题:
①若
,
,则
;
②设
是已知的平面向量,则给定向量
和
,总存在实数
和
,使
;
③第一象限角小于第二象限角;
④函数
的最小正周期为
.
正确的有________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70facc9bc02af0867d248407bd317c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a254b4db699bfe1d8b551d2e943276e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c13327875f7ecbfe021841d6f681a7.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40df61fdb336f55fd2bba3a55144c882.png)
③第一象限角小于第二象限角;
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bebb4f84a36e0ac1eb8acf15653202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
正确的有
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5 . 给出下列四个命题,其中假命题 的个数为( )
①
,使
是幂函数;
②若
只有一个零点,则
;
③命题“若
且
,则
”的否命题为“若
且
,则
”;
④函数
在区间
上单调递增,则
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d73907aea5c6375fb9fc15c1033ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a0c3426c2ee788c5b259b26994ea2f.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb635f785541935edc8bef1c30ba5483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
③命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27f27cbb8185c1974d715ff95f8801c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d97c5dd615b7752e1eb6c139891f54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76478bcf12d74ea096b0a46bd6bdf649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200849ce71f53c0321506e27de437b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0a2c46148393f1d7104d75e03522bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4ba63ab8d2e34c6714f87698852cff.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad96a05254c798f3e28e715c309f9b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72487c60611c53ff7b54e9e8b9931b76.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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6 . (1)写出命题“若两个三角形是全等三角形,则它们面积相等”的逆命题,否命题及逆否命题;
(2)求下列函数的导数.
①
;
②
.
(2)求下列函数的导数.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7590ae86790e6ca2417ad55d397441.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a6960d436ae3c739e047fb0e56c81.png)
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7 . 下列说法正确的是( )
A.命题“若![]() ![]() |
B.“平行四边形对角线互相平分,菱形是平行四边形,所以菱形的对角线互相平分”是合情推理 |
C.“根据等差数列的性质,可以推测等比数列的性质”是类比推理 |
D.“由![]() |
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8 . 给出下列命题,其中真命题为( )
①若
为假命题,则
,
均为假命题,;
②在残差图中,残差点分布的带状区域的宽带越狭窄,其模型拟合的精度越高;
③方程
表示双曲线”是“方程
表示椭圆”的充要条件;
④两个随机变量的线性相关性越强,相关系数的绝对值越接近于1;
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
②在残差图中,残差点分布的带状区域的宽带越狭窄,其模型拟合的精度越高;
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296f6b73bcb1ea61bff5367a9a918613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8691b79e97b728da70686e72561034d.png)
④两个随机变量的线性相关性越强,相关系数的绝对值越接近于1;
A.①②④ | B.①③④ |
C.②③④ | D.②④ |
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解题方法
9 . 给出下列命题,其中真命题为( ).
①随机变量
,若
,则
;
②已知事件
与
独立,当
时,若
,则
;
③方程“
表示双曲线”是“方程
表示椭圆”的充要条件;
④用数学归纳法证明不等式
时,当
时,不等式左边应在
的基础上加上
;
①随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c1ed67167078ea4f5f1ee53ee14164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf02170d70b68a73c3cdac41f17a1c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2753dc1c83d54044b89e628a7eb247f8.png)
②已知事件
![](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/5b2a3318f82fec39c53c0e4fea00f75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bfdb88d4b3e7b50d84d71706ff03f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6f742dff4b78976152d260463f8030.png)
③方程“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296f6b73bcb1ea61bff5367a9a918613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8691b79e97b728da70686e72561034d.png)
④用数学归纳法证明不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9f531680802aa7e55f57502015e9d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0538ee5c5fc6e389368e0fc64f9e07f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f6c178899e83aa12116c2105d30351b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342c18c32995d372c739d3565fabae75.png)
A.①②③ | B.①④ | C.①② | D.①②③④ |
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10 . 下列命题中正确的是( )
A.![]() ![]() |
B.在![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.命题“若![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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