观察下列等式:
第1个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b29412ba76a50fe70785cae1bd4836.png)
第2个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9055342e77d049972a460d107523dddd.png)
第3个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71299380507381a3a12a812e46ac2691.png)
第4个等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e07ea0879482a9699445b698476070a.png)
……
按照以上规律,解决下列问题:
(1)写出第(5)个等式
(2)写出你猜想的第n个等式: (用含n的等式表示),并证明.
第1个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b29412ba76a50fe70785cae1bd4836.png)
第2个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9055342e77d049972a460d107523dddd.png)
第3个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71299380507381a3a12a812e46ac2691.png)
第4个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e07ea0879482a9699445b698476070a.png)
……
按照以上规律,解决下列问题:
(1)写出第(5)个等式
(2)写出你猜想的第n个等式: (用含n的等式表示),并证明.
更新时间:2023-04-04 14:30:18
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解答题-计算题
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适中
(0.65)
名校
【推荐1】请观察下列算式,找出规律并填空
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34377164c69f8b97da237bfaa94c55dc.png)
(1)第10个算式是______,第n个算式为______.
(2)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84336a0db164f3bcfdfaf6f1258ee0d.png)
(3)根据以上规律解答下题:
若有理数a,b满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d842b2e150d723c948234ee36f4b6b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61dfa259a7cfab28fe63ff7d6211b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f4890678dc22224b4d23a8c38fbf11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34377164c69f8b97da237bfaa94c55dc.png)
(1)第10个算式是______,第n个算式为______.
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84336a0db164f3bcfdfaf6f1258ee0d.png)
(3)根据以上规律解答下题:
若有理数a,b满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6376fed15cc793607d8ce0a27f25bec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388993aa4b28be94f162fa58cbdc6b8c.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
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【推荐2】观察下列等式:
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e10aed20a271d04109c73548e997cb.png)
;
;
… …
请解答下列问题:
(1)按以上规律可得
___________=__________(其中
为正整数);
__________=__________(其中
为正整数).
(2)求
的值.
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159734f68c2d0cbcd5be6f28c46f05d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e10aed20a271d04109c73548e997cb.png)
;
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4db8989fdb9ee24978e31f6c85d7145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b5b4ce546238e47a65533e85570d5e.png)
… …
请解答下列问题:
(1)按以上规律可得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10cadb98662378e89452dd0c3efb07e.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e69b9632a91b36bb73e08d21c7770d6.png)
您最近一年使用:0次