题目
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解决代码及点评
该题考察对浮点数的了解
#include<iostream>
#include<cmath>
/*
用牛顿迭代法求方程在 1.5附近的根(精度在10^-5)
2*x^3-4*x^2+3*x-6=0
*/
using namespace std;
void main()
{
double diedai(double a,double b,double c,double d,double x);
double a,b,c,d;
double x=10000.0;
cout<<"请依次输入方程四个系数：";
cin>>a>>b>>c>>d;
x=diedai(a,b,c,d,x); // 用户输入四个系数后，调用迭代法就根
cout<<x<<endl;
//printf("%f",x);
system("pause");
}
double diedai(double a,double b,double c,double d,double x)
{
while(abs(a*x*x*x+b*x*x+c*x+d)>0.000001) // 关键在于，对方程的求值，最后是>0.000001而不是==0是因为浮点数不能==0，所以用精度代替
{
x=x-(a*x*x*x+b*x*x+c*x+d)/(3*a*x*x+2*b*x+c);
}
return x;
}
代码下载及其运行
代码下载链接：
http://download.csdn.net/detail/yincheng01/6641033
解压密码为c.itcast.cn
下载解压后用VS2013打开工程文件
点击 “本地Windows调试器” 执行
程序运行结果
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" 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