把下列各数填入表示它所在的数集的括号里.
,
, 0 ,
,
,π ,
,
,
负整数集合{_____________________}
正有理数集合{___________________}
分数集合{_______________________}.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4c0a79476ddc9a95e2f108c1b09266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf542734c2ac2152779ccf3e667d4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1615e8f8b9eea564424d5892ea654f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c514e1d6a903fa35c6a398a317c32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e041a2721a1f0e5ecf310b02349acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86647d969205cb577df47876e4b3135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9ac24b07de09c3e42b32ecd12fe092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bb89a362c1faf4d0c306eabbb59710.png)
20-21七年级上·江苏扬州·阶段练习 查看更多[3]
江苏省扬州市江都区八校2020-2021学年七年级10月联考数学试题(已下线)期中测试卷01-2021-2022学年七年级数学上册同步必刷基础拓展单元卷(人教版)江苏省扬州市江都区八校联考2021-2022学年七年级上学期数学第一次月考试题
更新时间:2020-10-17 22:24:31
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解答题-问答题
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适中
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名校
【推荐1】把下列各数分别填入相应的大括号里:
,3,
,
,
,0,
,
非负数集合{ ……};
整数集合 { ……};
分数集合 { ……}
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933bb8180c454c1ab7f182ca276e47d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8837fe817cb4e80c473d3fa18472e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680aa2de893c7f18b0276d46aa950e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8942825830526e716b8952bfd7bdae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9aacd70a9198bc6072c76daa68ec2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
非负数集合{ ……};
整数集合 { ……};
分数集合 { ……}
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【推荐2】把下列各数填在相应的集合中:
;
正分数集合
;
整数集合
;
非正数集合
.
有理数集合
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e72de5259c3480483b6126df564b1f9.png)
正分数集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287a5a6c7ee8c6864573d8463bfd8966.png)
整数集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287a5a6c7ee8c6864573d8463bfd8966.png)
非正数集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287a5a6c7ee8c6864573d8463bfd8966.png)
有理数集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287a5a6c7ee8c6864573d8463bfd8966.png)
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解答题-问答题
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【推荐1】将下列各数填在相应的集合里:
,
,
,
,
,
,
,
,
.
正数集合:{ …};
分数集合:{ …};
整数集合:{ …};
负数集合:{ …};
非负数集合:{ …};
有理数集合:{ …};
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3fc10697da958dbfab5ef97eb40d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a20d1a6c018b5439420f5d2a268c7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205c136411510d6512385f57b02af685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f265fcfaec161cf44e475966dfe915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa585b9257ed0798213a9ae9b87d291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971e6639a4132636cac62f00348ac383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4d1b19794c497683ba6bc9e3383881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
正数集合:{ …};
分数集合:{ …};
整数集合:{ …};
负数集合:{ …};
非负数集合:{ …};
有理数集合:{ …};
您最近一年使用:0次
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【推荐2】把下列各数填在相应的表示集合的大括号里:
0.627,-3.14,-5,-
,|-
|,6% ,0,36
①正整数:{ };②整数:{ }
③正分数:{ };④负分数:{ }
0.627,-3.14,-5,-
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
①正整数:{ };②整数:{ }
③正分数:{ };④负分数:{ }
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【推荐1】在数轴上表示下列各数,并用“
”号把它们连接起来.
,
,
,
, 0, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f1a480438deb29d8ceeec5c5a34096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245cfeb9e110dc59e95346cdf7faf140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a2e25691e583a64819323ecd136962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c38444fae9951fced3ec679c1abe4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b1e19c4376c11bc8f7c25dd2ab6771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f1a480438deb29d8ceeec5c5a34096.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/21/3a3f30d7-abb2-4a40-90fc-31fbb4a97b62.png?resizew=340)
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【推荐2】画一条数轴,用数轴上的点表示下列有理数:2.5,﹣|﹣3|,0,﹣(﹣5),并用“<”将它们连接起来
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【推荐1】“分类讨论”是一种重要数学思想方法,下面是运用分类讨论的数学思想解决问题的过程,请仔细阅读,并解答题目后提出的问题.
例:三个有理数
,
,
满足
,求
的值.
解:由题意得,
,
,
三个有理数都为正数或其中一个为正数,另两个为负数.
①当
,
,
都是正数,即
,
,
时,
则:
;
②当
,
,
有一个为正数,另两个为负数时,设
,
,
,
则:
.
综上所述,
的值为3或
.
请根据上面的解题思路解答下面的问题:
(1)已知
,
,且
,求
的值;
(2)已知
,
是有理数,当
时,求
的值.
例:三个有理数
![](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/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce563ace106dd7eb696cf3a293d83d9c.png)
解:由题意得,
![](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)
①当
![](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/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
则:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9fc938195e1ce9d973934cd1f81f7e.png)
②当
![](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/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75807858b7804a1ad2039c41f323a18.png)
则:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5888cad31ccc4e58bfe79d6d0df0042a.png)
综上所述,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce563ace106dd7eb696cf3a293d83d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
请根据上面的解题思路解答下面的问题:
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1aaaea0449ea43cf2cd284441ecfbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f87249431e2f4f03175404e39018a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)已知
![](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/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524a8f0aec8d5e9ef76071eaff5ead6a.png)
您最近一年使用:0次