在C ++中查找通过3个点的平面方程的程序
在本教程中，我们将讨论一个程序来查找通过3个点的平面方程。
为此，我们将提供3分。我们的任务是找到由这三个给定点组成或通过这三个给定点的平面方程。
示例
#include <bits/stdc++.h>
#include<math.h>
#include <iostream>
#include <iomanip>
using namespace std;
//找到平面方程
void equation_plane(float x1, float y1, float z1, float x2, float y2, float z2, float x3, float y3, float z3){
float a1 = x2 - x1;
float b1 = y2 - y1;
float c1 = z2 - z1;
float a2 = x3 - x1;
float b2 = y3 - y1;
float c2 = z3 - z1;
float a = b1 * c2 - b2 * c1;
float b = a2 * c1 - a1 * c2;
float c = a1 * b2 - b1 * a2;
float d = (- a * x1 - b * y1 - c * z1);
std::cout << std::fixed;
std::cout << std::setprecision(2);
cout << "Equation of plane is " << a << " x + " << b << " y + " << c << " z + " << d << " = 0";
}
int main(){
float x1 =-1;
float y1 = 2;
float z1 = 1;
float x2 = 0;
float y2 =-3;
float z2 = 2;
float x3 = 1;
float y3 = 1;
float z3 =-4;
equation_plane(x1, y1, z1, x2, y2, z2, x3, y3, z3);
return 0;
}输出结果
Equation of plane is 26.00 x + 7.00 y + 9.00 z + 3.00 = 0