如图,在平面直角坐标系
中,已知点
的坐标是
,以
为边在右侧作等边三角形
,过点
作
轴的垂线,垂足为点
,以
为边在右侧作等边三角形
,再过点
作
轴的垂线,垂足为点
,以
为边在右侧作等边三角形
,…,按此规律继续作下去,得到等边三角形
,则点
的纵坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079910b3d60accfb237c9379d0a32928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2fca361c4554871467b2b30419620df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f736248e5a060b9827bff3f5e6d1cc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13d6ca2cb3233a3f3b4129ef755bfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9aa56a9644b0bfdbe0b784699d21b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0799e7cfb00a93c9ecc359c9dd259af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb23814c40a4929a6483d60a413968da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/2/f6ccbc21-c1bb-4274-a4f5-58b64945d81e.png?resizew=179)
更新时间:2023-10-03 22:52:18
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【推荐1】如图,在平面直角坐标系中,每个最小方格的边长均为1个单位长,
,
,
,…,均在格点上,其顺序按图中“→”方向排列,如:
(0,0),
(0,1),
(1,1),
(1,-1),
(-1,-1),…,根据这个规律,点
的坐标为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e24e843f778f53af4f3c9e25faa809.png)
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【推荐2】平面直角坐标系
中,已知线段
与
轴平行,且
,若点A的坐标为
,则点
的坐标是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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解题方法
【推荐1】在平面直角坐标系中,设点P到原点的距离为
(希腊字母读作“柔”),OP与X轴的正方向的夹角
,则用[
]表示点P的极坐标.显然点P的坐标和它的极坐标存在一一对应关系.如点P的坐标(1,1)的极坐标为P[
],则极坐标Q[
]的坐标为_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171102a883b22fe6ca578efc8926f5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc409a730e4df86aadb13b4c320c4d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e412365a711ac366794fcb7d6ea485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce13927e6dced662f170458b95c6c91.png)
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【推荐2】二次函数
的图象如图所示,自原点开始依次向上作内角为60度、120度的菱形
其中两个顶点在抛物线上另两个顶点在y轴上,相邻的菱形在y轴上有一个公共点
,则第2017个菱形的周长![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22d30b98249fb732474a10865e4228c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/11/48b82f54-5c46-4599-b991-cae3abf8892b.png?resizew=159)
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