阅读下列内容,完成任务.
任务:
(1)数对
和
中,是“姊妹数对”的是_________.
(2)若数对
是“姊妹数对”,求x的值.
定义:我们把使等式![]() ![]() ![]() ![]() ![]() ![]() ![]() |
(1)数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e78a0ff7a088ed2cbd707c3c9ec4604.png)
(2)若数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec296fdf0fa535dd1113c3ffc88f19d.png)
更新时间:2024-05-22 09:08:51
|
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解答题-计算题
|
适中
(0.65)
【推荐1】观察下列等式
,
,
,
将以上三个等式两边分别相加得:
=1﹣
=1﹣
=
.
(1)猜想并写出:
.
(2)根据以上规律直接写出下列各式的计算结果:
①
+
+
+…+
= ;
②
+
+
+…+
.
(3)探究并计算:
+
+…+
.
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/5ea9112186994bea97ea381e1f70eb10.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/02adb83158a7439ea7b66763a272f47b.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/678bcfa3c8bc47489326f1ffa9d67b2b.png)
将以上三个等式两边分别相加得:
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/8b7ad6a7066c4d32bf32af4051e20790.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/38caa6892ee148e69f651e594aa7c0e5.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/f0aa343887994228ad473c57a35e78b7.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/fef05a433a9a4addbc6297de3ac00c9f.png)
(1)猜想并写出:
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/d812782ea9174987b5d26ad396150bf9.png)
(2)根据以上规律直接写出下列各式的计算结果:
①
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/1511f0e2c1504b8f8bf1bbbe5b33d3e7.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/93f6b10cfedc4e5d8c93cb3ecf407ce2.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/ba4a953b9c3f446e935ac675da225e26.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/e03fee5b74164db9878592e2e48980ab.png)
②
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/b10e391d4c224e14b99761d9d31f137c.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/2a7305005b1340919273c578f5f041e8.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/ba4a953b9c3f446e935ac675da225e26.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/d73544903ee7421abd89bfe55a68e198.png)
(3)探究并计算:
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/7b260eec73ac46c8a515b3942943a799.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/ed212bbb479840d0ac14d8fa139b0785.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1573961268224000/1573961274654720/STEM/9960683d6cca4643a4e8b78b31e5123f.png)
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解答题-计算题
|
适中
(0.65)
【推荐2】黑板上有2020个数,分别是1,
,
,…,
,每次操作,选两个数a和b,计算得到ab+a+b,再把a和b擦掉,把计算的数写上,这样操作2019次最后得到的数是多少?
![](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/3cd209afb2cdb0743fd5f7367648ae83.png)
您最近一年使用:0次