观察下列等式:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2607645265ab55eb283f31f4895c66.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d887e5815343ca2b1512974ef92948c9.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf77d8fa0a804211beaf513b62be7a38.png)
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0c58987e782aa4b8bcaa1eac9d7489.png)
⑤![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3122cd8d13fb917e13201843bff9ae8f.png)
根据上述规律解决下列问题:
(1)根据以上规律写出第⑥个等式:______;
(2)写出你猜想的第
个等式
用含
的式子表示
,并说明等式的正确性.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2607645265ab55eb283f31f4895c66.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d887e5815343ca2b1512974ef92948c9.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf77d8fa0a804211beaf513b62be7a38.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0c58987e782aa4b8bcaa1eac9d7489.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3122cd8d13fb917e13201843bff9ae8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
根据上述规律解决下列问题:
(1)根据以上规律写出第⑥个等式:______;
(2)写出你猜想的第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
更新时间:2022-07-17 12:29:58
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解答题-问答题
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适中
(0.65)
【推荐1】观察下列算式:
①2
4=
-1
②4
6=
-1
③6
8=
-1
(1)请你按照三个等式的规律写出第④个、第⑤个算式;
(2)把这个规律的第n个等式用含字母的式子表示出来,并说明其正确性.
①2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1495791e4329d56d070daacecf518a86.png)
②4
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb354c8aba272cc2b96f31a355ca316.png)
③6
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410109997e62745c4ebf7afed9b77918.png)
(1)请你按照三个等式的规律写出第④个、第⑤个算式;
(2)把这个规律的第n个等式用含字母的式子表示出来,并说明其正确性.
您最近一年使用:0次
解答题-证明题
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(1)填表:
(2)观察上表,试用含m、n的代数式表示S;
(3)证明(2)中的结论
(1)填表:
三边a、b、c | m=c+b-a | n=c-b+a | S |
3,4,5 | 6 | 4 | 6 |
5,12,13 | 20 | 6 | |
8,15,17 | 24 |
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解答题-计算题
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【推荐2】观察下列一组算式的特征及运算结果,探索规律:
①
,
②
,
③
,
④
.
(1)观察算式规律,计算
=______;
=______.
(2)用含正整数n的代数式表示上述算式的规律并证明.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60be75de53b9fbed5aedf197b31ae60d.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7873ecd311fa2db30e22db3541dfc823.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97e1ff4ff4df1018b0e6788579809c2.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c27c273f45924e46a9334e0a9b83f9.png)
(1)观察算式规律,计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17e94fbde0cf8bef272a58b02868855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b36b056433a9048c0291fcc405b765.png)
(2)用含正整数n的代数式表示上述算式的规律并证明.
您最近一年使用:0次