Program為進入程式點,輸入與輸出
Point為類別,計算兩點距離
PinBoard為類別,產生PinBoard格點座標
Triangle為類別,產生triangle並計算周長、面積、外接圓半徑
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace Board
{
class Program
{
static void Main(string[] args)
{
PinBoard board = new PinBoard(); //建立板子
Triangle tri = new Triangle(); //建立三角形
Random rand = new Random(); //產生亂數
Columns:
Console.WriteLine("請輸入板子有幾行:");
board.columns = int.Parse(Console.ReadLine());
if (board.columns < 1)
{
Console.WriteLine("行數不得小於1");
goto Columns;
}
Rows:
Console.WriteLine("請輸入板子有幾列:");
board.rows = int.Parse(Console.ReadLine());
if (board.rows < 1)
{
Console.WriteLine("列數不得小於1");
goto Rows;
}
RowInterval:
Console.WriteLine("請輸入板子行之間的距離:");
board.rowInterval = Double.Parse(Console.ReadLine());
if (board.rowInterval < 0)
{
Console.WriteLine("距離不得小於0");
goto RowInterval;
}
Console.WriteLine("請輸入板子列之間的距離:");
ColumnInterval:
board.columnInterval = Double.Parse(Console.ReadLine());
if (board.columnInterval < 0)
{
Console.WriteLine("距離不得小於0");
goto ColumnInterval;
}
board.CreatePins();
board.SetPinsPosition();
TrianglePin:
Console.WriteLine("三角形的3個點是:");
for (int i = 0; i < 3; i++)
{
tri.pointArray[i] = board.pinArray[rand.Next(board.rows), rand.Next(board.columns)]; //以亂數產生三角形的三個點
Console.WriteLine("{0},{1}", tri.pointArray[i].xCoordinate, tri.pointArray[i].yCoordinate);
}
if (!tri.IsRight())
{
Console.WriteLine("產生的三點不構成三角形! 再試一次!");
goto TrianglePin;
}
Console.WriteLine("\n三角形的周長是:{0}",tri.Perimeter());
Console.WriteLine("三角形的面積是:{0}", tri.Area());
Console.WriteLine("三角形的外接圓半徑是:{0}", tri.RadiusOfCircumcircle());
Console.ReadKey();
}
}
}
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace Board
{
class Point
{
public double xCoordinate;
public double yCoordinate;
public double DistanceTo(Point pin) //計算該點和某點之間的距離
{
double Distance = Math.Sqrt(Math.Pow((pin.xCoordinate - xCoordinate), 2) + Math.Pow((pin.yCoordinate - yCoordinate), 2));
return Distance;
}
}
}
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace Board
{
class PinBoard
{
public int rows = 10;
public int columns = 10;
public Double rowInterval = 10;
public Double columnInterval = 10;
public Point[,] pinArray = null;
public void CreatePins() //產生矩陣各點之位置
{
pinArray = new Point[rows, columns];
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < columns; j++)
{
pinArray[i, j] = new Point();
}
}
}
public void SetPinsPosition() //依行列間距計算出各點x.y之座標
{
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < columns; j++)
{
pinArray[i, j].xCoordinate = (i * rowInterval);
pinArray[i, j].yCoordinate = (j * columnInterval);
}
}
}
}
}
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace Board
{
class Triangle
{
public Point[] pointArray = new Point[3];
public double Perimeter() //計算周長
{
double length1 = pointArray[0].DistanceTo(pointArray[1]);
double length2 = pointArray[1].DistanceTo(pointArray[2]);
double length3 = pointArray[2].DistanceTo(pointArray[0]);
return (length1 + length2 + length3);
}
public double Area() //計算面積
{
double length1 = pointArray[0].DistanceTo(pointArray[1]);
double length2 = pointArray[1].DistanceTo(pointArray[2]);
double length3 = pointArray[2].DistanceTo(pointArray[0]);
double length = (length1 + length2 + length3) / 2;
return Math.Sqrt(length * (length - length1) * (length - length2) * (length - length3));
}
public double RadiusOfCircumcircle() //計算外接圓半徑
{
double length1 = pointArray[0].DistanceTo(pointArray[1]);
double length2 = pointArray[1].DistanceTo(pointArray[2]);
double length3 = pointArray[2].DistanceTo(pointArray[0]);
double cosAngle = (length2 * length2 + length3 * length3 - length1 * length1) / (2 * length2 * length3);
double sinAngle = Math.Sqrt(1 - cosAngle * cosAngle);
return 0.5 * length1 / sinAngle;
}
}
}
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