1 . 秦九韶是我国南宋时期的数学家,他在所著的《数书九章》中提出的多项式求值的秦九韶算法,至今仍是比较先进的算法.根据秦九韶算法,任意多项式
可改写为
,用秦九韶算法求多项式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25444478f6ac5a8f169948357295172.png)
当
时的值,需要进行乘法运算和加法运算的次数分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3db1d1c37809658aa04c1399b2f0a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04aaa13abedb0accbcd32c5349507452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25444478f6ac5a8f169948357295172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a94acdfb41489d5694b5a64b9e99754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a482ee470dfacd00f6b6a7a12eb27d3.png)
A.4,3 | B.4,5 | C.5,5 | D.6,5 |
您最近一年使用:0次
名校
2 . 用秦九韶算法计算多项式
在
时的值时,
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512d5146f1699cd01ce2d3225d87c208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63055a5d6916f99d07fede49120753f.png)
A.-845 | B.220 | C.-57 | D.34 |
您最近一年使用:0次
名校
解题方法
3 . 九韶是我国南宋时期的数学家,他在所著的《数书九章》中提出的多项式求值的秦九韶算法,至今仍是比较先进的算法,如图所示的程序框图给出了利用秦九韶算法求某多项式值的一个实例,若输入
的值为2,则输出
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/160637f6-aefe-4314-abf7-2f70f8259d49.png?resizew=165)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/160637f6-aefe-4314-abf7-2f70f8259d49.png?resizew=165)
A.63 | B.127 | C.31 | D.30 |
您最近一年使用:0次
名校
4 . 下列说法正确的是:( )
(1)使
的值为
的赋值语句是
;
(2)用秦九韶算法求多项式
在
的值时,
的值
;
(3)
;
(4)用辗转相除法求得
和
的最大公约数是
.
(1)使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcef6acfb6d1412f26f567275caaaea.png)
(2)用秦九韶算法求多项式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0b6f8af0eed1a65f3a00077e5e3bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f6ccbb4c090d2e66cda9e5acf44458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8bc1b34a7dfe3743bfea0279a9c1f5.png)
(4)用辗转相除法求得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c197e291e63b1ad1943ded88c0b93ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cda3540d6125b1522037703329355fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103b3b2562aad83ca244583c4d41950d.png)
A.(1)(2) | B.(2)(3) | C.(1)(4) | D.(2)(4) |
您最近一年使用:0次