1 . 把下列各数填在相应的大括号内:
,0,
,
,
,
,5%,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62aa88ece23117a9e7527be2d24c07c1.png)
(1)有理数集合:{ …};
(2)无理数集合:{ …};
(3)整数集合:{ …};
(4)分数集合:{ …}.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44b27eebdccee46736f8822ee911df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f32ccb3708e049df91604c943ac0d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b546e9701feecbf5782a792f1422b219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62aa88ece23117a9e7527be2d24c07c1.png)
(1)有理数集合:{ …};
(2)无理数集合:{ …};
(3)整数集合:{ …};
(4)分数集合:{ …}.
您最近一年使用:0次
2 . 把下列各数分别填入相应的集合里.
,0,25,
,
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae8ff881c459a3abd9de3ca8c9e95bb.png)
(1)负数集合:{ …};
(2)非负整数集合:{ …};
(3)无理数集合:{ …}
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad2925d2ce0e1e8ef352f9501f2590d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aab28a20b5bf47040aaec03b1eb550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f265fcfaec161cf44e475966dfe915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68e594212cf2a24501a758adfcae885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3eb037935cebcbb64057dd0e090b1d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8664a837eed36c57a7af7ce08bf47a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae8ff881c459a3abd9de3ca8c9e95bb.png)
(1)负数集合:{ …};
(2)非负整数集合:{ …};
(3)无理数集合:{ …}
您最近一年使用:0次
3 . 把下列各数填在相应的集合里.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02181ef2f811289448edba5362a8a514.png)
(1)正有理数集合:{__________…}
(2)负分数集合:{__________…}
(3)无理数集合:{__________…)
(4)非负整数集合:{__________…}
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02181ef2f811289448edba5362a8a514.png)
(1)正有理数集合:{__________…}
(2)负分数集合:{__________…}
(3)无理数集合:{__________…)
(4)非负整数集合:{__________…}
您最近一年使用:0次
4 . 把下列各数填入相应的集合内:
,
, 0 ,
,
,
,
,
正数集合:{ …};
分数集合:{ …};
负有理数集合:{ …};
无理数集合:{ …};
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feba07afa21eb42c2993a2edd582e7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1065ae0947705c7d16a5a86c78f07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f265fcfaec161cf44e475966dfe915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f20b2456e8808cabddac0bff9a2c31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7150111c513fe4e03784bcdadeb64e56.png)
正数集合:{ …};
分数集合:{ …};
负有理数集合:{ …};
无理数集合:{ …};
您最近一年使用:0次
5 . 把下列各数写入相应的集合内:
,
,
,
,
,
,
,
,
.
(1)有理数集合: ……;
(2)无理数集合: ……;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9882ad48ba6872b185ad2500f03fbc04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a264ba87a81c163836bd042d6704e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6f7d09a282d4f8f16697d349ffaab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e732fcdfc668b1e24887957c178993a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f915c39615ba002a57f999a905f0af4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4262823b864f1bff9a87de9304dafe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c58b52bfa32a9cfe1407894cde08634.png)
(1)有理数集合: ……;
(2)无理数集合: ……;
您最近一年使用:0次
6 . 把下列各数填入相应的大括号里:
,
,25,0,
,0.101001000…,
,
,0.38,
.
(1)负分数集合{ …};
(2)非正整数集合{ …};
(3)无理数集合{ …}.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33272e3e80c545b80331ce02706df096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aab28a20b5bf47040aaec03b1eb550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d877e01c9c112e9299606ec020943d75.png)
(1)负分数集合{ …};
(2)非正整数集合{ …};
(3)无理数集合{ …}.
您最近一年使用:0次
7 . 把下列各数填在相应的表示集合的大括号内:
,
,
,
,
,
,
,
,0,
(每两个1之间依次多一个0)
正有理数{____________…}
整数{____________…}
负分数{____________…}
无理数{____________…}
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459c84c9addfbd1cdd0a877ba7c584e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f522d1f7a4158bbb09355fcf2ebe1748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db60f3d6a6fd64cd7b958bb8b1134d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9a8ceaf89d3d6c829df9e134f93b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bc249a28134f4ed293dc8e886e2950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af476b03dc29ec3a90af847a4e2dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6436f07e99922022f4a805d3bcd610.png)
正有理数{____________…}
整数{____________…}
负分数{____________…}
无理数{____________…}
您最近一年使用:0次
8 . 由无理数的定义可知无理数与有理数不可能相等,若m,n为有理数,
为无理数,且
,则
,
.
(1)如果
,其中a,b为有理数,求
的平方根;
(2)如果
,其中a,b为有理数且是p的平方根,求p的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c5262da479816fd7f246d3637856b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd09fb9482124fd35f19b86894648f4.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c44332acd5441449895b9ae08c01f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2886651e86d52818f26109704f016b4f.png)
您最近一年使用:0次
9 . 阅读与思考
请阅读下列材料,并完成相应的任务:
任务:
(1)完成材料中解答过程的剩余部分.
(2)结合阅读材料,在①
;②
;③
;④
中,是无理数的是______(填序号).
请阅读下列材料,并完成相应的任务:
对于实数x,y,我们规定一种新的运算法则![]() ![]() ![]() ![]() ![]() ![]() 解:∵ ![]() ![]() ![]() |
(1)完成材料中解答过程的剩余部分.
(2)结合阅读材料,在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c462d08d75fcc7ccf9c3ecea1972e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c0f57ea6e7089fb7b417818f664b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a74d96870c66d252cca823c98ac2acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9756e3477d5a22db9104024c7823a174.png)
您最近一年使用:0次
10 . 把下列各数分别填入相应的集合里.
3.6, 0,
,
,
,
, 2023, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3190f899b3537a5547efbf8d46a023.png)
(1)分数集合:{ …};
(2)无理数集合:{ …};
(3)正有理数集合:{ …};
(4)非负整数集合:{ …}.
3.6, 0,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4219cc91506e90fc89f7cc9dfc660306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a2e25691e583a64819323ecd136962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598564aec706dff769c5afc4c378c572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff70a76fcb0da48e47fcf8ac5dbc721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3190f899b3537a5547efbf8d46a023.png)
(1)分数集合:{ …};
(2)无理数集合:{ …};
(3)正有理数集合:{ …};
(4)非负整数集合:{ …}.
您最近一年使用:0次