HDU 2105 The Center of Gravity

三角形重心计算：数学应用与编程实现

最新推荐文章于 2021-12-11 09:15:36 发布

最新推荐文章于 2021-12-11 09:15:36 发布 · 227 阅读

文章标签：

#c/c++

本文介绍如何通过数学原理计算三角形的重心，并提供了一个C++代码示例，展示了从输入三角形顶点坐标到输出重心坐标的完整过程。此教程适合初学者了解几何与编程结合的应用。

Problem Description

Everyone know the story that how Newton discovered the Universal Gravitation. One day, Newton walked
leisurely, suddenly, an apple hit his head. Then Newton discovered the Universal Gravitation.From then
on,people have sovled many problems by the the theory of the Universal Gravitation. What's more, wo also
have known every object has its Center of Gravity.
Now,you have been given the coordinates of three points of a triangle. Can you calculate the center
of gravity of the triangle?

Input

The first line is an integer n,which is the number of test cases.
Then n lines follow. Each line has 6 numbers x1,y1,x2,y2,x3,y3,which are the coordinates of three points.
The input is terminated by n = 0.

Output

For each case, print the coordinate, accurate up to 1 decimal places.

Sample Input

2
1.0 2.0 3.0 4.0 5.0 2.0
1.0 1.0 4.0 1.0 1.0 5.0
0

Sample Output

3.0 2.7
2.0 2.3

数学水题

LANGUAGE:C++

CODE:

#include<iostream>
using namespace std;
int main()
{
    int n;
    while(cin>>n)
    {
        if(n==0) break;
        while(n--)
        {
            double x,y;
            double x1,y1,x2,y2,x3,y3;
            cin>>x1>>y1>>x2>>y2>>x3>>y3;
            x=(x1+x2+x3)/3.0;
            y=(y1+y2+y3)/3.0;
            printf("%.1lf %.1lf\n",x,y);
        }
    }
    return 0;
}