已知下列等式:
;
;
,
(1)请仔细观察,写出第4个式子;
(2)请你找出规律,并写出第n个式子;
(3)利用(2)中发现的规律计算:1+3+5+7+...+2019+2021.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734107d89283d1a5721d5f1f4bffed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ba35d00ec111ad458527840428c766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a8e27858cf558ea20ce6f219b58073.png)
![](https://img.xkw.com/dksih/QBM/2021/6/7/2737916956606464/2801577141362688/STEM/8581a0f39cf14878a0e2ba116522e71c.png?resizew=13)
(1)请仔细观察,写出第4个式子;
(2)请你找出规律,并写出第n个式子;
(3)利用(2)中发现的规律计算:1+3+5+7+...+2019+2021.
更新时间:2021-09-05 14:46:11
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解答题-问答题
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适中
(0.65)
【推荐2】(1)(-5
)+(+2
)+(-1
)-(-
)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc66d14897009e29441da2d42522eb9.png)
(3)-14+
×[2×(-6)-(-4)2]
(4)(-2)3×(-
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2008b78a906cf5ecdfd68432fa9ad1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5a1a2ee471c67aa5264c0991d05421.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc66d14897009e29441da2d42522eb9.png)
(3)-14+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
(4)(-2)3×(-
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
您最近一年使用:0次
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)根据第一行等式的观察猜想并写出:
______.
(2)直接写出右式的计算结果:
______.
(3)探究并计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf8710f5276b32bd45d586303dd4799e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7c9fc2aaedec0ff7e7c46c3d092c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc56ae934c43f81711f4e78f7d11fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23117347bafda36e89ebb8739d2ebe64.png)
(1)根据第一行等式的观察猜想并写出:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a2d9f346780990293f8772cc4029b2.png)
(2)直接写出右式的计算结果:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea818681f13415160dc7382fbfaa84e.png)
(3)探究并计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f812f0bf6f6ae8ea6f4232b5415a3747.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】观察下列等式:
第1个等式:
,
第2个等式:
,
第3个等式:
,
第4个等式:
,
按上述规律,回答以下问题:请写出第
个等式:
______.
______.
第1个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f462bf7ae017e9d61905a4c9afe6047.png)
第2个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4478fb9b8ea9c24747ec60790f7eee.png)
第3个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e480a52ed3afd61480e5e65b2bbfd2bd.png)
第4个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce7bf713d56033e3854b109bf2cb545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
按上述规律,回答以下问题:请写出第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2534dcb368292d6505dc3ad80fd54394.png)
您最近一年使用:0次