阅读下列材料:
①
=1﹣
,
=
﹣
,
=
﹣
…
②
=
×(1﹣
),
,
(_______)…
③
,
,
…
根据你发现的规律,解决下列问题:
(1)写出①组中第5个等式;
(2)写出①组中第n个等式,并证明;
(3)计算:
…+
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed98e34b84285163a8b1b45c6fe403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a646b098601ebe77beadf1707deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9ed0f5980039d8a3337f1265030bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41040386498bdc028e8e5f46146b326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e4581d5338406884f2ead80e6246f4.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882d25a0bbd9546b486c4e6d24283444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406964a6f1b76f950b26e8e8d17140d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6d3832bb322046dd3447457c5596ff.png)
根据你发现的规律,解决下列问题:
(1)写出①组中第5个等式;
(2)写出①组中第n个等式,并证明;
(3)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cada6ae81cf4232eb9ac02bf05b61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de66d72741da7e484e0889fd42bccef0.png)
更新时间:2022-12-28 21:58:15
|
相似题推荐
解答题-计算题
|
适中
(0.65)
【推荐1】先观察下列各式:
;
;
;
;
(1)计算:
;
(2)n为正整数,观察并归纳,请写出:
;
(3)应用上述结论,请计算:
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6397f7297feff09c3b9ecc7fafc21653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630bf54123b21ef5ffdf70774d442079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9712b602a7e832fe086f3c83d5cfff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f05724d91b4c1e0ebed15b4f2e355e.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8888178d38ef80ad9faaa12a03a2f37.png)
(2)n为正整数,观察并归纳,请写出:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa58b04b2e29bc609c59e895ae9b29e.png)
(3)应用上述结论,请计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5068f599d2e14d93e5beb37ebfee2a97.png)
您最近一年使用:0次
解答题-计算题
|
适中
(0.65)
【推荐2】观察下列式子:
第1个式子:
.
第2个式子:
.
第3个式子:
.
第4个式子:
.
…
请你按照上述规律,回答下列问题:
(1)写出第5个式子:____________.
(2)写出第n个式子:____________(用含n的式子表示).
(3)请你按照规律计算
的值.
第1个式子:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1142f94b489bfff6035ba31bb951f935.png)
第2个式子:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc90b78c0fdfaa5eb023e00873e9284d.png)
第3个式子:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a5a4aa08eeca577669692f6920d57b.png)
第4个式子:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76f6d8dbad5a2ae6bdfbe824c6861ca.png)
…
请你按照上述规律,回答下列问题:
(1)写出第5个式子:____________.
(2)写出第n个式子:____________(用含n的式子表示).
(3)请你按照规律计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1288ebd180b3644862b424a29731c668.png)
您最近一年使用:0次