C++ 中找过三点的平面的方程的程序
本教程中,我们将讨论一个程序,用于查找过三点的平面的方程。
为此,我们将得到 3 点。我们的任务是查找由这三个给定点组成或经过这三个给定点的平面的方程。
示例
#include <bits/stdc++.h>
#include<math.h>
#include <iostream>
#include <iomanip>
using namespace std;
//finding the equation of plane
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
Equation of plane is 26.00 x + 7.00 y + 9.00 z + 3.00 = 0
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