23-24高一上·江苏·课后作业
1 . (1)一般地,如果
,那么称:
是
的________ 条件,
的________ 条件.
(2)①如果
且
,那么称
是
的__________ 条件,简称______ 条件,记作_____ .
②如果
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
,那么称
是
的_________________________ 条件;
③如果![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
且
,那么称
是
的_________________________ 条件;
④如果![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
,那么称
是
的________________________ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286271b0f732fd78cd4ef9f8bd4038de.png)
![](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/e1c07c9c585ff6f2fecff0f5684d5c26.png)
(2)①如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286271b0f732fd78cd4ef9f8bd4038de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b566aefb2f2a8fd1a5d8828e1e178ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
②如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286271b0f732fd78cd4ef9f8bd4038de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
③如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b566aefb2f2a8fd1a5d8828e1e178ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
④如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3140e75ded8afae1d3d547890223a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
21-22高一·全国·课后作业
2 . 充分条件与必要条件
(1)一般地,“若p,则q”为真命题,是指由p通过推理可以得出q,这时,我们就说,由p可以推出q,记作___________ ,并且说,p是q的___________ 条件,q是p的___________ 条件.
(2)几点说明
①一般来说,对给定结论q,使得q成立的条件p是___________ 的;给定条件p,由p可以推出的结论q是___________ 的.
②一般地,数学中的每一条判定定理都给出了相应数学结论成立的一个___________ 条件.每一条性质定理都给出了相应数学结论成立的一个___________ 条件.
③一般地,要判断“若p,则q”形式的命题中q是否为p的必要条件,只需判断是否有“___________ ”,即“若p,则q”是否为真命题.
(1)一般地,“若p,则q”为真命题,是指由p通过推理可以得出q,这时,我们就说,由p可以推出q,记作
(2)几点说明
①一般来说,对给定结论q,使得q成立的条件p是
②一般地,数学中的每一条判定定理都给出了相应数学结论成立的一个
③一般地,要判断“若p,则q”形式的命题中q是否为p的必要条件,只需判断是否有“
您最近一年使用:0次