名校
解题方法
1 . 如图是构造无理数的一种方法: 线段
; 第一步,以线段
为直角边作直角三角形
,其中
; 第二步,以
为直角边作直角三角形
,其中
; 第三步,以
为直角边作直角三角形
, 其中
; ...,如此延续下去,可以得到长度为无理数的一系列线段, 如
,
, ... ,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780236b507e42bf180d15faca13d9478.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee5747ae1c372be1170242c4aecee5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4195334905e2f190f958dbf5951456f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c42451af24f0fd7dba027b7982ee7d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92777fd37c34b8747686db17b0098419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c76916c6ff302cf4fb4b6ace5bb3a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5b7c627e5932a413b34ff3f597b5ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ba4bf41f103d2b8973840ec472938a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181f7b988095b7285557491c7bb2fb5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23de2a59f81db67daf4f44b51771b9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce7365cf0d1e0f5460dd26b4122345b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c76916c6ff302cf4fb4b6ace5bb3a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181f7b988095b7285557491c7bb2fb5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780236b507e42bf180d15faca13d9478.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/10/8150aec8-ba3b-435c-8d6e-bd131db2c114.png?resizew=199)
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2022-09-08更新
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6卷引用:甘肃省张掖市某重点校2022-2023学年高一下学期3月月考数学试题