解题方法
1 . 已知命题
:“若
,则二次不等式
无解”.
(1)写出命题
的否命题;
(2)判断命题
的否命题的真假.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ede301b85065e628f196f19b0c7675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
(1)写出命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)判断命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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2 . 分别写出下列命题的逆命题、否命题、逆否命题.
(1)垂直于同一个平面的两条直线平行;
(2)设
,
,
,
是实数,若
,
,则
.
(1)垂直于同一个平面的两条直线平行;
(2)设
![](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/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd031c16a5cbeb1bab9f913d2ad2cfd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3538c7b7aa12ff28d4d06ab400ebaaad.png)
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3 . 写出命题“已知,a b 是实数,若ab=0,则a=0或b=0”的逆命题,否命题,逆否命题,并判断其真假.
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名校
4 . (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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5 . 写出下列命题的逆命题、否命题以及逆否命题:
(1)若
,则
;
(2)已知
为实数,若
,则
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ee4849f60afce5a3a85ccd492314e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0219e415740558b6d03038c91c9f3689.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648bb8829ffc34b7b466b1bb05777103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af27075a29a658a88bec069fe4804da.png)
您最近一年使用:0次
20-21高二·全国·单元测试
6 . 分别写出下列命题的逆命题、否命题、逆否命题.
(1)垂直于平面α内无数条直线的直线l垂直于平面α;
(2)设a,b,c,d是实数,若a=b,c=d,则a+c=b+d.
(1)垂直于平面α内无数条直线的直线l垂直于平面α;
(2)设a,b,c,d是实数,若a=b,c=d,则a+c=b+d.
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7 . 已知原命题是“若
,则曲线
是椭圆”.
(1)试写出原命题的逆命题、否命题、逆否命题,并判断所写命题的真假;
(2)若曲线
是焦点在
轴上的双曲线,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d364ffe09abd0f6022147d130c82dccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e32500972421f941c78967a4948921.png)
(1)试写出原命题的逆命题、否命题、逆否命题,并判断所写命题的真假;
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e32500972421f941c78967a4948921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知函数
.
(1)已知命题
:若正实数
,则函数
的最小正周期小于
.请写出命题
的逆否命题,并判断其真假性;
(2)已知命题
:函数
满足
,命题
:
,若
与
均为真命题,求符合题意的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35e80e70ad5e1805e68989f610318de.png)
(1)已知命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219e526faaa7fb02d01ec55b947a9dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)已知命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fe158b34ee9c6204b6e28b093fbed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2091dc47caec0c6734eb058375d8a294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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9 . 已知命题
;
.
(1)若
,写出命题“若
则
”的逆否命题,并判断真假;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e37a4ac519b313ee0c91ab75b37270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1322eaaebbe6b54b72515e3603cd02.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-01-28更新
|
107次组卷
|
2卷引用:山西省太原市2020-2021学年高二上学期期末数学(理)试题
20-21高一上·全国·课后作业
10 . 写出下列命题的否定,并判断真假:
(1)直角相等.
(2)等圆的面积相等,周长相等.
(3)有的三角形为正三角形.
(4)∀x>0,x+1>
.
(1)直角相等.
(2)等圆的面积相等,周长相等.
(3)有的三角形为正三角形.
(4)∀x>0,x+1>
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8aca16ad7b2e7c21bb5555a12578831.png)
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