观察下列一组等式:
;
;
;
.
利用你从以上这些等式中发现的规律:
(1)填空:
______;
______;
(______)
.
(2)下列各式能用你发现的乘法公式计算的是______.
A.
B.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84571adc652a3750705618681440c1a.png)
C.
D.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500ead1f2bbccb32df785e91fad6fee2.png)
(3)计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aabce4cd7c83d0a9ba501eeb597f353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd68c3c6dd68bf8dfb67e5c34c574c86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e8b779df3cf83a0b525ee378b025b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4c0dd789b49f1b1fa7882f1345c169.png)
利用你从以上这些等式中发现的规律:
(1)填空:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a5f474f50339e9809c11866d53a5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc002c190f608f063d1362a3f658c3c7.png)
(______)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80a447d1cd8e37f67c54b9c350a1a8.png)
(2)下列各式能用你发现的乘法公式计算的是______.
A.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fcb04bd87e2ffee90a2a3b80eadf7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84571adc652a3750705618681440c1a.png)
C.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0040054c680682fb330a53b8089bc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500ead1f2bbccb32df785e91fad6fee2.png)
(3)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71cf20203d36937b871797c6aeb74ff2.png)
23-24七年级下·江西九江·阶段练习 查看更多[2]
江西省九江市瑞昌市第四中学2023-2024学年七年级下学期月考数学试题(已下线)考题猜想04 整式的乘法与因式分解(培优+拔高必刷55题16种题型)-2023-2024学年七年级数学下学期期中考点大串讲(苏科版)
更新时间:2024-04-22 14:40:14
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解答题-计算题
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适中
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【推荐1】阅读下文,寻找规律:
已知:
,观察下列各式:
;
;
;
;
…
(1)填空:
①
_________;
②
_________.
(2)根据你的猜想,计算:
①
_________;
②那么
的末尾数字为_________.
已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77fc530917ade098f3a481f1ada4bd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1208a15b2b53f0c59666bc05679f5ac5.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a58dd55bf430475cc906b5fe9cb271.png)
…
(1)填空:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e49dfde1068a03933c24f27b0cf908.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7dbf8e3f0466d006ff04a60a612449a.png)
(2)根据你的猜想,计算:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74e17a474a501859ae11736b85e0937.png)
②那么
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2933511d903df35f6768e07087809f.png)
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解答题-问答题
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【推荐2】观察下面的几个算式,发现规律,并解决下列问题.
①
;
②
;
③
;
…
(1)按照上面的规律,依照上面的书写格式,直接写出
的结果______.
(2)试说明上面所发现的规律(提示:可设这两个两位数分别是
,
,其中
,
,
均为1~9的整数,且
).
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550652c0f363d7d14de08532a7926150.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914aac15491259548edfa0c1cf263afe.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3095709d37e74d4fd405af92c68757f5.png)
…
(1)按照上面的规律,依照上面的书写格式,直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c0e6956379744f20b979adc53a7f25.png)
(2)试说明上面所发现的规律(提示:可设这两个两位数分别是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3352a404644fa06042ef181e86119e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbae98cfc605c733693af7a1c4380113.png)
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![](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/f34b5e49102150ea3570b9f2b983ec4d.png)
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【推荐2】如图,已知边长分别为a、
的两个正方形,其面积之差为32
(2)请将(1)中的方程组,转化为一个二元一次方程组;
(3)分别求两个正方形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc1ee7f9f3c497125ee3f9e44db9688.png)
(2)请将(1)中的方程组,转化为一个二元一次方程组;
(3)分别求两个正方形的面积.
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