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1 . 《数书九章》三斜求积术:“以小斜幂,并大斜幂,减中斜幂,余半之,自乘于上;以小斜幂乘大斜幂,减上,余四约一,为实,一为从隅,开平方得积”.秦九韶把三角形的三条边分别称为小斜、中斜和大斜,“术”即方法.以
,
,
,
分别表示三角形的面积,大斜,中斜,小斜;
,
,
分别为对应的大斜,中斜,小斜上的高;则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bb09b09bf18d7ccd677bb344012b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18bc55b969036fe2c293469d7fc4fbf.png)
.若在
中
,
,
,根据上述公式,可以推出该三角形外接圆的半径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe57aca2f76116c2f62fb6f224be26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ffb82aa1614cd1bc28940b1a7252fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a13393b5c809072cc7c6e4adc5f0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bb09b09bf18d7ccd677bb344012b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18bc55b969036fe2c293469d7fc4fbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b473b5706e18d2b043c01f948dbecab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40d3940d53e6c6c4ec3b98280f37435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908eddeb787c7a131c48f77e5b536ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8057d2a1dd63000844acb4f087c7a035.png)
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