1 . 秦九韶是我国古代的数学家,他的《数书九章》概括了宋元时期中国传统数学的主要成就. 秦九韶算法是一种将一元
次多项式的求值问题转化为
个一次式的算法,其大大简化了计算过程,即使在现代,利用计算机解决多项式的求值问题时,秦九韶算法依然是最优的算法,在西方被称作霍纳算法.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251306650fdd855a04dcd1697e5d73ef.png)
改写成以下形式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251306650fdd855a04dcd1697e5d73ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7644b2adbf6932b5c4b56c01295a8a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecedcaaa90738e92bc254db62d75857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed8181dab2251aad31eef4d43413cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa870171979b115b0c3440705bc8face.png)
若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3398169945f7a03c882318c77d6115.png)
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6306ddd63cd3b16a74f48f4bb20f81.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251306650fdd855a04dcd1697e5d73ef.png)
改写成以下形式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251306650fdd855a04dcd1697e5d73ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7644b2adbf6932b5c4b56c01295a8a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecedcaaa90738e92bc254db62d75857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed8181dab2251aad31eef4d43413cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa870171979b115b0c3440705bc8face.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3398169945f7a03c882318c77d6115.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6306ddd63cd3b16a74f48f4bb20f81.png)
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2020-01-31更新
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210次组卷
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2卷引用:2020届陕西省咸阳市高三上学期期末考试数学(理)试题