名校
解题方法
1 . 大约在公元222年,赵爽为《周髀算经》一书作序时介绍了“勾股圆方图”,亦称“赵爽弦图”(如图1).某数学兴趣小组类比“赵爽弦图”构造出图2:
为正三角形,
,
,
围成的
也为正三角形.若
为
的中点,①
与
的面积比为___________ ;②设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e507d3941363e9dbeac8be35134727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/c1bd98f1-c926-4719-b25c-602039f53dd5.png?resizew=272)
您最近一年使用:0次
2023-05-05更新
|
1796次组卷
|
4卷引用:江苏省南京市2023届高三二模数学试题
解题方法
2 . 在平面上,已知
为两个不平行的单位向量,O为定点,集合
,若
中所有的点构成图形的面积为1,则
与
夹角的大小为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9c91af174ebe66c921f52db385a6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa290b89f748483f9b959b17200a001e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
2022高三·全国·专题练习
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3 . 已知
,
,点D满足
,设
,若
恒成立,则
的最大值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520a21b909d04f763d0f61dd74bc158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b655451996095a2d44fe2d710b3fd622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8a4b42ae78fd712d47b0db88044301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4e574abe4eda0e62a984db3a7c829e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3973dd8a6c36ab4d3a61d380dcc87857.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/7e24dc5c-d3ea-4c8a-9e23-49ab39afc55c.png?resizew=202)
您最近一年使用:0次