1 . 对于高次方程的根的问题,牛顿在《流数法》一书中,给出了用导数方法求方程近似解的方法——牛顿法.在
处作
图象的切线,切线与
轴的交点为
;用
替代
一直继续下去得到
,
,
,…,
,则
,
,
,…,
为
的近似解.
在
切线方程为:
,
时,设
,继续这个过程可以得到求方程根的牛顿法公式:
.则下列选项正确的是( )
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29dfd18223ce4ab4c497639638be6fc.png)
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A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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2021-03-23更新
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2卷引用:河北省保定市2021届高三上学期期末数学试题