细心观察图形,认真分析下列各式,然后解答问题.
,
;
,
;
,
;
……
(1)请在横线上直接写出
的长度______;
(2)请用含
(
是正整数)的等式表示上述变化规律;
(3)求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/14/39c915a0-ae6f-4fb6-83ab-ccc779e1cfd6.png?resizew=258)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc07a492f6f03f32c4f85fc8a7cf8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4f48b72329a258cf2c82273574a208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9ba1261666e14417365b93f0c8228a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554a870ba0c66752f89e00ae26cc7646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9e95b67c2815be8a22b00a812ffb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51417ed5c9681fc9901174af61e2ec91.png)
……
(1)请在横线上直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5172a898594b7c299bc3c5d6477bd17c.png)
(2)请用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da9335b1bebac9289207b4ce4777d92.png)
更新时间:2020-03-14 23:27:59
|
【知识点】 与实数运算相关的规律题
相似题推荐
解答题-计算题
|
较易
(0.85)
【推荐1】观察下列等式:
,
把以上三个等式两边分别相加得:
.
(1)猜想并写出:
= .
(2)计算:
;
(3)依照上述方法请计算:
+
+
+…+
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936a9b4a30a77570e793373587b99676.png)
把以上三个等式两边分别相加得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d4d907dd4ee55dc8a82ccfdd493eb6.png)
(1)猜想并写出:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7928cc7a6ebf95b2928289d3350960f2.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e639295f4a95ba7ce179b81e7cd5da4.png)
(3)依照上述方法请计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9ed0f5980039d8a3337f1265030bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6faac9408a6fdfd4bb9521e050fd47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd568caaa2c3d31792cc10c6eb93464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f4c2a6288d4ed19646e7b6758b05d4.png)
您最近一年使用:0次
解答题-计算题
|
较易
(0.85)
【推荐2】借助于计算器计算下列各题:
(1)
;(2)
;(3)
;(4)
.
(5)仔细观察上面几道题及其计算结果,你能发现什么规律,并用发现的这一规律直接写出下面的结果:
_____.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9a7fedbde9175828405f09395e893f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c04de04f90b5995a2c23a652595816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739c88de39955b637ebe0d5d3912135e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c249ad90a31e2d5886508a0dba8e8ff3.png)
(5)仔细观察上面几道题及其计算结果,你能发现什么规律,并用发现的这一规律直接写出下面的结果:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b885f148c2789ee512e66ac72a4862fd.png)
您最近一年使用:0次