1 . 二分法的一般步骤(精确度为
)
(1)确定零点
所在区间为
,验证________ ;
(2)求区间
的____
;
(3)计算
;
①若____ ,则
就是函数的零点;
②若_____ ,则
,令
;
③若_____ ,则
,令
;
(4)判断是否达到精确度:若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babb4fcca2ad56908b79fe23fb7b2466.png)
_____ ,则得到零点近似值
(或
),否则重复步骤(2)-(4).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711c92626a97e6b778b3aa86e663ee97.png)
(1)确定零点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(2)求区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee0882f5f575d9e0ae7677efbd41b38.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8267135d61ec0f62afb4245b6203bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05d3b8f5c9df891ef6fbcaf12f43207.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8951566d2bba8746fdeeccdfdfee8db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759b29a7b2b3735306f1a650355a7858.png)
(4)判断是否达到精确度:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babb4fcca2ad56908b79fe23fb7b2466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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3卷引用:【导学案】1.2 利用二分法求方程的近似解课前预习-北师大版2019必修第一册第五章函数应用
名校
解题方法
2 . 设
,现用二分法求关于
的方程
在区间
内的近似解,已知
,则方程的根落在区间( )内
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0c9aa12e7c4918d12e80c25cf4edc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f7cc2b73d4fd2d8efc3eefedb5d090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c3ff1d552f59a4c833305a295ee8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4d0164116fccea03fd4719c5ec523f.png)
A.![]() | B.![]() |
C.![]() | D.不能确定 |
您最近一年使用:0次
2022-10-28更新
|
1091次组卷
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4卷引用:【导学案】1.2 利用二分法求方程的近似解课前预习-北师大版2019必修第一册第五章函数应用
【导学案】1.2 利用二分法求方程的近似解课前预习-北师大版2019必修第一册第五章函数应用江苏省连云港市新海高级中学2019-2020学年高一上学期期中数学试题黑龙江省哈尔滨市宾县第二中学2022-2023学年高一上学期期中考试数学试题(已下线)第五章 函数应用(A卷·知识通关练)-【单元测试】2022-2023学年高一数学分层训练AB卷(北师大版2019必修第一册)