观察下列各式:
第1个算式:
;
第2个算式:
;
第3个算式:
;
……
请利用你所发现的规律,解决下列问题:
(1)第5个算式为__________.
(2)第n个算式为___________.(请用含n的式子表示)
(3)求
的值.
第1个算式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ed7347a7f01128f4b3cc48371b366f.png)
第2个算式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761f945b6a61497d32688d9292df15c3.png)
第3个算式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a028d4b9117370b7744e3b57c84fcd0d.png)
……
请利用你所发现的规律,解决下列问题:
(1)第5个算式为__________.
(2)第n个算式为___________.(请用含n的式子表示)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de9fa34c3065c135e5cc92ebf7bd907.png)
更新时间:2023-12-10 21:03:22
|
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解答题-计算题
|
适中
(0.65)
【推荐1】先阅读材料,然后回答问题:
形如
的化简,只要找到两个正数
、
,使
,
,
使得
,
,
那么则有
,例如:化简
,
.
__________;
__________;
(2)在
中,
,
,其中
边的垂直平分线分别交
、
于点
、
,当
时,求
的长.(结果要化为最简形式)
形如
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79302e44ec001a6f493b466325e0e5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd6e4185a3de5a361c4a87c62a770a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88dcef6a520a8a28773cb6716281c9f7.png)
使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3afcd03c46e08fdd0e9bf5a602348c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4f3e4530c5d5948b076ebb4c369a38.png)
那么则有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe355556980b764691c617a98de508f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8b563033bb7bb9c47afd01b508b2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8f389f865ecb04bd21c6e52c434dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6befb2396e904f04041bc022fc139383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e50c8713a12b2eb8346d1203d4a364.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54486ba185c2598d90d996821c7e8159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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