Question

用MATLAB程序编程：分析方程f(x)=sinx-x/2=0正根的分布情况，并用二分法求正根近似值，使误差不超过0.01.

Answer 1

clc;clear
a=0;b=1;
fa=1-a-sin(a);
fb=1-b-sin(b);
c=(a+b)/2;
fc=1-c-sin(c);
if fa*fb>0,break,end
while abs(fc)>0.5*10^(-4)
c=(a+b)/2;
fc=1-c-sin(c);
if fb*fc>0
b=c;
fb=fc;
else
a=c;
fa=fc;
end
end
format long
fx=fc,x=c
结果：
fx =
-2.414986223420179e-005
x =
0.510986328125000
精确
>> x=solve('1-x-sin(x)')

x =