把下列各数填入它所属的集合内:
,0,
,
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/581c2703301c7c6b019ef29550394a15.png)
(1)正数集合:{________________________________________};
(2)分数集合:{________________________________________};
(3)非负整数集合:{________________________________________};
(4)无理数集合:{________________________________________}.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04b7ae46dd9117a844faa1e79428fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598564aec706dff769c5afc4c378c572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5574c1099414efae61a6096c167e8bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a20d1a6c018b5439420f5d2a268c7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75779ae540b87d5ca17a91ea419889d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/581c2703301c7c6b019ef29550394a15.png)
(1)正数集合:{________________________________________};
(2)分数集合:{________________________________________};
(3)非负整数集合:{________________________________________};
(4)无理数集合:{________________________________________}.
更新时间:2024-03-15 23:11:44
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解答题-问答题
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【推荐1】把下列各数分别填在相应的集合内
、
、
、
、
、
、
(每两个1之间一次多一个0)、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16e1164381ea7862edaff362deb1b99.png)
正分数集合:{ …}
非负整数集合:{ …}
正有理数集合:{ …}.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fb2b921145f298afd6519e95dc9727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa68be4859cfa96475f7532153077629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d00aa200ea71c6fb68b17f15d338c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e3e907305a564b16dfe5fa3b40f13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda03deead3646842ebaeb5ab8bb19e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16e1164381ea7862edaff362deb1b99.png)
正分数集合:{ …}
非负整数集合:{ …}
正有理数集合:{ …}.
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【推荐2】把下列各数填入表示它所在的数集的括号里
﹣(﹣2.3),
,0,﹣
,30%,π,﹣|﹣2013|,﹣5
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab3db8ce6b735cbf0f1a0f2ed543dd0.png)
(1)负整数集合[ …]
(2)正有理数集合[ …]
(3)分数集合[ …]
﹣(﹣2.3),
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598564aec706dff769c5afc4c378c572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270561d41cc505f11eed7eb8e7037ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab3db8ce6b735cbf0f1a0f2ed543dd0.png)
(1)负整数集合[ …]
(2)正有理数集合[ …]
(3)分数集合[ …]
您最近一年使用:0次
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【推荐1】把
,
,
,
,
,0,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ae57a17e44f2898f2ac453d482ae32.png)
正数集合:{ …};
整数集合:{ …};
非负数集合:{ …};
负分数集合:{ …}.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598564aec706dff769c5afc4c378c572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9862b46c3ae76bb684a7e534f97eefad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2523b8afb2adfb4f930b44b0b1eeb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ae57a17e44f2898f2ac453d482ae32.png)
正数集合:{ …};
整数集合:{ …};
非负数集合:{ …};
负分数集合:{ …}.
您最近一年使用:0次
解答题-问答题
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【推荐2】把下列各数填在相应的横线上:
.
(1)整数:____________;
(2)负分数:____________;
(3)非负有理数:___________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f7abfa4a79f7ed910568ad5ca75807.png)
(1)整数:____________;
(2)负分数:____________;
(3)非负有理数:___________.
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解答题-问答题
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【推荐1】(1)两个有理数相加、相减、相乘、相除,结果一定还是有理数吗?说明理由.
(2)两个无理数相加、相减、相乘、相除,结果一定还是无理数吗?举例说明.
(2)两个无理数相加、相减、相乘、相除,结果一定还是无理数吗?举例说明.
您最近一年使用:0次
解答题-证明题
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【推荐2】阅读下列材料:“为什么
不是有理数”,完成问题.
证明:设
不是无理数而是有理数,那么存在两个互质的正整数
,
,使得
,于是
,两边平方,得______________
∴
含有因数5,设
,∴____________
∴______________,∴
含有因数5,∴____________
这样
,
有公因数5,不互质,这与假设
,
互质矛盾.这个矛盾说明,
不能写成分数的形式,
所以
不是有理数而是无理数.
将下列选项依次填入材料中的画线处,正确的顺序是 (填上序号)
①
;②
;③
含有因数5;④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
证明:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.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/060e2a8d45a6456946743cd9ce913ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/240f5f3b895c3e5e675bfcff290c1848.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223ec16c7b0b7d25431d352d89215462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8ab95b64e9160cab50a824a85980dc.png)
∴______________,∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5ceea72a6d63fe76c863ef841d66c.png)
这样
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
将下列选项依次填入材料中的画线处,正确的顺序是 (填上序号)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2202450d43598e234ecf063168633e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5674ccc7b013de61a79d5d21efdad57b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedf868f893b445ad202f77293633f87.png)
您最近一年使用:0次