1 . 观察下列等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f462bf7ae017e9d61905a4c9afe6047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4478fb9b8ea9c24747ec60790f7eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e480a52ed3afd61480e5e65b2bbfd2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce7bf713d56033e3854b109bf2cb545.png)
…
按上述规律,回答以下问题:
(1)写出
;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8059dcc529c1a99fae77c081d9703d7.png)
(3)仿照上述化简方法,化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f462bf7ae017e9d61905a4c9afe6047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4478fb9b8ea9c24747ec60790f7eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e480a52ed3afd61480e5e65b2bbfd2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce7bf713d56033e3854b109bf2cb545.png)
…
按上述规律,回答以下问题:
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8059dcc529c1a99fae77c081d9703d7.png)
(3)仿照上述化简方法,化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a87bcf5bfd5835040749010c5d5217.png)
您最近一年使用:0次
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2 . 阅读下面的材料并填空:
①(1﹣
)(1+
)=1﹣
,反过来,得1﹣
=(1﹣
)(1+
)=
×
;
②(1﹣
)(1+
)=1﹣
,反过来,得1﹣
=(1﹣
)(1+
)= × ;
③(1﹣
)(1+
)=1﹣
,反过来,得1﹣
= =
;
利用上面的材料中的方法和结论计算下题:
(1﹣
)(1﹣
)(1﹣
)……(1﹣
)(1﹣
)(1﹣
).
①(1﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b9c928e6ad28d6ef7634c2197d79e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b9c928e6ad28d6ef7634c2197d79e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
②(1﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b46df8bfacb9059f07d768507bb187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b46df8bfacb9059f07d768507bb187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
③(1﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5f9668b5d0b46c9b5105ffe7c23e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5f9668b5d0b46c9b5105ffe7c23e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819ee3814850101e5f22014426d3ea6b.png)
利用上面的材料中的方法和结论计算下题:
(1﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b9c928e6ad28d6ef7634c2197d79e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b46df8bfacb9059f07d768507bb187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5f9668b5d0b46c9b5105ffe7c23e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29c700cb2e504340171e6e3bd88dcc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafc1f8d63b29588c19c2ae0b161e6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907a090538229c3e80e63d8ff8cbd735.png)
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2019-06-28更新
|
307次组卷
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5卷引用:江西省抚州市2017-2018学年北师大版七年级下学期期末数学试卷
江西省抚州市2017-2018学年北师大版七年级下学期期末数学试卷江西省抚州市南城县第二中学2021-2022学年七年级下学期第二次月考数学试题广东省深圳市南山实验教育麒麟中学2018-2019学年七年级下期中质量检测数学试题广东省深圳市三校联考2020-2021学年七年级下学期期中数学试题(已下线)第1章 整式的乘除压轴大题(6个考点40题专练)-2023-2024学年七年级数学下学期考试满分全攻略高频考点+重难点讲练与测试(北师大版)
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3 . 一个整数的所有正约数之和可以按如下方法求得,如:
,则6的所有正约数之和
;
,则12的所有正约数之和
;
,则36的所有正约数之和
.
参照上述方法,那么200的所有正约数之和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2b83d8e01f630e3b04b5f294ce52ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6324a1018a31554656fb3ba4e2cb1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d227f94485a6e4f78b887e61ef071b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fabc6b997b60d250b20b96e4dd18b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b8a99a18cbc10eda45cc36b039895b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4ca1712b008fb2a839df38b0dbc042.png)
参照上述方法,那么200的所有正约数之和为
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4 . 按一定规律排列的一列数依次是
、1、
、
、
、
…按此规律,这列数中第100个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0e7bfbd56fe73dfe04c04da749d942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb6c7746593ccd4d78c6f2c3e2cc35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c8e2b215726abf23346c283f43ab2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e57d1b63ff6f12240106a53c07ac17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e42271b52f5873b21ce2d8fe010e1c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-04-10更新
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409次组卷
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6卷引用:江西省抚州市崇仁县第二中学2021-2022学年七年级上学期第二次练习数学试题
5 . 探究一列数的规律,写出最后一个数,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5296c0056db0e2b5331c9b9a6d45962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357821e0e5595eaf3028df63d47b2c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2d1c3e5b68f93e0cfa6f89da1484c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afec19f123a3d6eb79696a348c09147.png)
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2018-11-02更新
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2卷引用:江西省抚州市东乡区三校2021-2022学年七年级下学期期中联考数学试卷
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6 . 观察、发现:
=
=
=
=
﹣1
(1)试化简:
;
(2)直接写出:
= ;
(3)求值:
+
+
+…+
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09a83972a9068dfff763edd2925358c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/400739cb4ce8b2c102a5b4ed552634da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545030f510680f979b0a43bdba7583e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31ef08d8e2a58ae4bb12a59072d8e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(1)试化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a91c33ebbacfc3e46515737af771e9c.png)
(2)直接写出:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42388221a8b19545db7aa38fdf50d129.png)
(3)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09a83972a9068dfff763edd2925358c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a91c33ebbacfc3e46515737af771e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0992e5d4f7c7073e3f71108f51cd8fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be87d297ad18a8dc62b3cdce94ec8b5.png)
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2017-10-14更新
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15卷引用:江西省崇仁县第一中学2017-2018学年八年级上学期第一次月考数学试题
江西省崇仁县第一中学2017-2018学年八年级上学期第一次月考数学试题广东省揭阳市惠来县葵潭中学2019-2020学年八年级上学期10月月考数学试题河北省邢台市第八中学2019-2020学年八年级上学期第二次月考数学试题安徽省合肥一六八教育集团2019-2020学年八年级下学期线上调研数学试题-江苏省丰县欢口镇欢口初级中学2019-2020学年八年级下学期第二次阶段检测数学试题河南省洛阳市北大公学2019-2020年八年级下学期第一次月考测试试卷(已下线)练习10 二次根式-2020-2021学年【补习教材·寒假作业】八年级数学(浙教版)江西省新余市新钢中学2020-2021学年七年级下学期第一次段考数学试题辽宁省沈阳市第一三四中学2021-2022学年八年级上学期期中数学试题(已下线)专题2.16 二次根式相关概念(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(北师大版)安徽省滁州市定远县永康片2021-2022学年七年级下学期期末考试数学试题江西省新余市渝水区新桥中学2021-2022学年七年级数学下学期第一次月考测试题 河北省衡水市景县部分学校2022-2023学年八年级下学期期中数学试题黑龙江省齐齐哈尔市依安县中心镇中学2022-2023学年八年级下学期月考数学试题辽宁省铁岭市2023-2024学年八年级上学期期中数学试题
7 . 一组数:2,1,3,x,7,﹣9,…,满足“从第三个数起,前两个数依次为a、b,紧随其后的数就是2a﹣b”,例如这组数中的第三个数“3”是由“2×2﹣1”得到的,那么这组数中x表示的数为______ .
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2017-08-07更新
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3卷引用:2019年江西省南城县第二中学中考数学模拟试题