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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef539fbba5473bd892b1b4f7aa20450b.png)
__________ .
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)
按上述规律
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef539fbba5473bd892b1b4f7aa20450b.png)
23-24九年级下·山东临沂·期中 查看更多[2]
更新时间:2024-05-31 09:58:14
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【推荐1】观察下列等式:1=12,1+3=22,1+3+5=32,1+3+5+7=42,…,则1+3+5+7+…+2011=_____ .
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【推荐2】南宋数学家杨辉在其著作《详解九章算法》中揭示了
(
为非负整数)展开式的项数及各项系数的有关规律如下,后人也将下表称为“杨辉三角”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00d023e1426ae8393be801d9cf7019a.png)
则
展开式中所有项的系数和是__________________ (结果用指数幂表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5abcb3802cf02be93a8c89067bd49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48101fbcb5189a178b4475d771b9df6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00d023e1426ae8393be801d9cf7019a.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1c98239f08b785dc2ec54f362e1de7.png)
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【推荐2】如图,在
中,
,
,
平分
交
于点
,
于点
,若
的周长为6,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0222d3ec99bc21b586b083bd9d67b225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
![](https://img.xkw.com/dksih/QBM/2020/10/22/2576463355551744/2576630834995200/STEM/e70ce0f8881a45a19d71cfe111e72e9b.png?resizew=145)
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