名校
解题方法
1 . 法国著名军事家拿破仑·波拿巴最早提出的一个几何定理:“以任意三角形的三条边为边向外构造三个等边三角形,则这三个等边三角形的外接圆圆心恰为等边三角形的顶点”.如图,在△ABC中,内角A,B,C的对边分别为
,且
.以
为边向外作三个等边三角形,其外接圆圆心依次为
.
(1)求角
;
(2)若
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b28493133d5e7cbbfa6a63bfecab966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0e08a39c6619123557148d195abfbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8c02f5689da8775781982486886c80.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/1/41f825b8-b556-4641-b503-ed6d8ad82bbf.png?resizew=159)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae7302087dd3eaec7bfb98e95cb8b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131739cb68310e0742befae171a2d47e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
2 . 人体满足黄金分割比的人体是最美人体,0.618是黄金分割比
的近似值,黄金分割比还可以表示为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8382dcdb655ab1d049f8dba22fa467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2df02ccaa84e642bb15d4b76fcb3e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cb814fdbc92be18fcd4467b8c815612.png)
A.4 | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
2020-09-05更新
|
392次组卷
|
3卷引用:安徽省宣城市2019-2020学年高一下学期期末数学(文)试题
名校
解题方法
3 . 《算法统宗》是中国古代数学名著,由明代数学家程大位所著,该作完善了珠算口诀,确立了算盘用法.该作中有题为“李白沽酒:李白街上走,提壶去买酒.遇店加一倍,见花喝一斗,三遇店和花,喝光壶中酒.借问此壶中,原有多少酒?”右图为该问题的程序框图,若输出的
值为0,开始输入的
值满足
则
( )
![](https://img.xkw.com/dksih/QBM/2018/6/4/1960038406471680/1961639556390912/STEM/6a57258909994518878dfcd6412c9078.png?resizew=171)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69abba55783fe7474185ba87a52e4431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59940ac0c31f6cbb8a35e6be075cc851.png)
![](https://img.xkw.com/dksih/QBM/2018/6/4/1960038406471680/1961639556390912/STEM/6a57258909994518878dfcd6412c9078.png?resizew=171)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次