1 . 全称量词命题与存在量词命题的否定
(1)全称量词命题:
的否定为_____________ .
(2)存在量词命题:
的否定为______________ .
(1)全称量词命题:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac25527dadae26e2ff4fe1c24c358a92.png)
(2)存在量词命题:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3668e31d1f1e495e3cbbd78b2b49fefc.png)
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2 . 存在量词与存在量词命题
(1)短语“存在一个”“至少有一个”在逻辑中通常叫做______ ,用符号__ 表示;
(2)含有_______ 量词的命题叫做存在量词命题,其一般形式为:______
.
(1)短语“存在一个”“至少有一个”在逻辑中通常叫做
(2)含有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34322d6fb1368468b8435d4617d9d9b3.png)
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3 . 全称量词与全称量词命题
(1)短语“所有的”“任意一个”在逻辑中通常叫做______ ,用符号__ 表示;
(2)含有_______ 量词的命题叫做全称量词命题,其一般形式为:______
.
(1)短语“所有的”“任意一个”在逻辑中通常叫做
(2)含有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34322d6fb1368468b8435d4617d9d9b3.png)
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4 . 四种条件关系:
(1)如果命题“若
,则
”为真命题且“若
,则
”为假命题,那么
是
的___ 条件.
(2)如果命题“若
,则
”为假命题且“若
,则
”为真命题,那么
是
的___ 条件.
(3)如果命题“若
,则
”为真命题且“若
,则
”也为真命题,那么
是
的___ 条件.
(4)如果命题“若
,则
”为假命题且“若
,则
”也为假命题,那么
是
的___ 条件.
(1)如果命题“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/9aa8a716a31b0f51b70fdf9bdb257909.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)
(2)如果命题“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/9aa8a716a31b0f51b70fdf9bdb257909.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)如果命题“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/9aa8a716a31b0f51b70fdf9bdb257909.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)
(4)如果命题“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/9aa8a716a31b0f51b70fdf9bdb257909.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)
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5 . 在数学中,我们常常遇到定义,定义是对某些对象标明__ 、指明___ ,或者揭示所研究问题中对象的____ .
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6 . 在数学中,有些已经被证明为真的____ 可以作为推理的依据直接使用,一般称之为定理.
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7 . 在数学中,许多命题可表示为“若
则
”,其中
叫作命题的___ ,
叫作命题的___ .
![](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/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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8 . 在数学中,我们把可判断____ 的陈述句叫做命题.
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9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f735ad515a58af2a385fa4f0d92a974.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e921cea6548d3e24eadb931967f71.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f735ad515a58af2a385fa4f0d92a974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e921cea6548d3e24eadb931967f71.png)
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10 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
______ , ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
您最近一年使用:0次