解题方法
1 . 古希腊数学家特埃特图斯(Theaetetus,大约公元前417年—公元前369年)通过下图来构造无理数
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,则
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/7bdaf5c5-8d7e-4e0a-8be1-0e56710a1e6a.png?resizew=185)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2cf0e95fdf1fd8a5b01d3dfd905e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9940f9f7b1e9a26ab25527406be4d712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9da6f152a33ef475161c9e396647225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/7bdaf5c5-8d7e-4e0a-8be1-0e56710a1e6a.png?resizew=185)
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