观察下列各式:
;
;
;
…………
(1)计算:
(2)计算:
(3)猜想:
(只需写出结果,不必写中间的过程)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02d08a7fcaf3b33bb8cacfb42284998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40086e4345868130e8cff4d1fbae4103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c695f7af3c6932a12c75341f90be2aa.png)
…………
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ea01994489460b0a510619dde9ea5a.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a1eabe68f79e1918d04f72885fc999.png)
(3)猜想:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e56bc41fbf4ba3e530e2898d5e49fa0.png)
(只需写出结果,不必写中间的过程)
更新时间:2024-03-14 11:41:56
|
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解答题-计算题
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较易
(0.85)
名校
【推荐1】观察与计算:
①
,
②
,
③
,
④
……
(1)写出第
个等式;
(2)归纳算式中的规律,直接写出第
个等式;
(3)利用规律计算
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52e3b85a9f88b630a3feb2f8f780f55.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7f17564cb28c0ff072aede98dae2aa.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c88206f4b07a668d1096c1ce163dbb.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122804e314628ae78d1b12ade2031a2a.png)
(1)写出第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
(2)归纳算式中的规律,直接写出第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)利用规律计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e9c9375650e1bce2c3a203a187b98c.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐2】观察下面的算式:
,
,
,
,
….
(1)请你写出1个与上述算式具有相同规律的算式;
(2)用字母表示数,写出上述算式反映的规律,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2331c095b65a5a8e9c4a995c2a27f673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4700ef5d3d1cf496abfa9237903b5be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57adb8421814694d356355378bdd25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e375e8b5c365807e0c2214a5f415942.png)
….
(1)请你写出1个与上述算式具有相同规律的算式;
(2)用字母表示数,写出上述算式反映的规律,并加以证明.
您最近一年使用:0次