📄 form1.cs
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using System;
using System.Drawing;
using System.Collections;
using System.ComponentModel;
using System.Windows.Forms;
using System.Data;
namespace 曲线图案设计
{
/// <summary>
/// Form1 的摘要说明。
/// </summary>
public class Form1 : System.Windows.Forms.Form
{
private System.Windows.Forms.MainMenu mainMenu1;
private System.Windows.Forms.MenuItem menuItem1;
private System.Windows.Forms.MenuItem menuItem2;
public Point p1=new Point();
public Point p2=new Point();
private System.Windows.Forms.MenuItem menuItem3;
private System.Windows.Forms.MenuItem menuItem4;
private System.Windows.Forms.MenuItem menuItem5;
private System.Windows.Forms.MenuItem menuItem6;
private System.Windows.Forms.MenuItem menuItem7;
private System.Windows.Forms.MenuItem menuItem8;
private System.Windows.Forms.MenuItem menuItem9;
private System.Windows.Forms.MenuItem menuItem10;
private System.Windows.Forms.MenuItem menuItem11;
private System.Windows.Forms.MenuItem menuItem12;
private System.Windows.Forms.MenuItem menuItem13;
private System.Windows.Forms.MenuItem menuItem14;
private System.Windows.Forms.MenuItem menuItem15;
private System.Windows.Forms.MenuItem menuItem16;
private System.Windows.Forms.MenuItem menuItem17;
private System.Windows.Forms.MenuItem menuItem18;
private System.Windows.Forms.MenuItem menuItem19;
private System.Windows.Forms.MenuItem menuItem20;
private System.Windows.Forms.MenuItem menuItem21;
private System.Windows.Forms.MenuItem menuItem22;
private System.Windows.Forms.MenuItem menuItem23;
private System.Windows.Forms.MenuItem menuItem24;
private System.Windows.Forms.MenuItem menuItem25;
private System.Windows.Forms.MenuItem menuItem26;
private System.Windows.Forms.MenuItem menuItem27;
private System.Windows.Forms.MenuItem menuItem28;
private System.Windows.Forms.MenuItem menuItem29;
private System.Windows.Forms.MenuItem menuItem30;
private System.Windows.Forms.MenuItem menuItem31;
private System.Windows.Forms.MenuItem menuItem32;
private System.Windows.Forms.MenuItem menuItem33;
private System.Windows.Forms.MenuItem menuItem34;
private System.Windows.Forms.MenuItem menuItem35;
/// <summary>
/// 必需的设计器变量。
/// </summary>
private System.ComponentModel.Container components = null;
public Form1()
{
//
// Windows 窗体设计器支持所必需的
//
InitializeComponent();
//
// TODO: 在 InitializeComponent 调用后添加任何构造函数代码
//
}
/// <summary>
/// 清理所有正在使用的资源。
/// </summary>
protected override void Dispose( bool disposing )
{
if( disposing )
{
if (components != null)
{
components.Dispose();
}
}
base.Dispose( disposing );
}
#region Windows 窗体设计器生成的代码
/// <summary>
/// 设计器支持所需的方法 - 不要使用代码编辑器修改
/// 此方法的内容。
/// </summary>
private void InitializeComponent()
{
this.mainMenu1 = new System.Windows.Forms.MainMenu();
this.menuItem1 = new System.Windows.Forms.MenuItem();
this.menuItem2 = new System.Windows.Forms.MenuItem();
this.menuItem3 = new System.Windows.Forms.MenuItem();
this.menuItem4 = new System.Windows.Forms.MenuItem();
this.menuItem5 = new System.Windows.Forms.MenuItem();
this.menuItem6 = new System.Windows.Forms.MenuItem();
this.menuItem7 = new System.Windows.Forms.MenuItem();
this.menuItem8 = new System.Windows.Forms.MenuItem();
this.menuItem9 = new System.Windows.Forms.MenuItem();
this.menuItem10 = new System.Windows.Forms.MenuItem();
this.menuItem11 = new System.Windows.Forms.MenuItem();
this.menuItem12 = new System.Windows.Forms.MenuItem();
this.menuItem13 = new System.Windows.Forms.MenuItem();
this.menuItem14 = new System.Windows.Forms.MenuItem();
this.menuItem15 = new System.Windows.Forms.MenuItem();
this.menuItem16 = new System.Windows.Forms.MenuItem();
this.menuItem17 = new System.Windows.Forms.MenuItem();
this.menuItem18 = new System.Windows.Forms.MenuItem();
this.menuItem19 = new System.Windows.Forms.MenuItem();
this.menuItem20 = new System.Windows.Forms.MenuItem();
this.menuItem21 = new System.Windows.Forms.MenuItem();
this.menuItem22 = new System.Windows.Forms.MenuItem();
this.menuItem23 = new System.Windows.Forms.MenuItem();
this.menuItem24 = new System.Windows.Forms.MenuItem();
this.menuItem25 = new System.Windows.Forms.MenuItem();
this.menuItem26 = new System.Windows.Forms.MenuItem();
this.menuItem27 = new System.Windows.Forms.MenuItem();
this.menuItem28 = new System.Windows.Forms.MenuItem();
this.menuItem29 = new System.Windows.Forms.MenuItem();
this.menuItem30 = new System.Windows.Forms.MenuItem();
this.menuItem31 = new System.Windows.Forms.MenuItem();
this.menuItem32 = new System.Windows.Forms.MenuItem();
this.menuItem33 = new System.Windows.Forms.MenuItem();
this.menuItem34 = new System.Windows.Forms.MenuItem();
this.menuItem35 = new System.Windows.Forms.MenuItem();
//
// mainMenu1
//
this.mainMenu1.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem1,
this.menuItem19,
this.menuItem27,
this.menuItem31});
//
// menuItem1
//
this.menuItem1.Index = 0;
this.menuItem1.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem2,
this.menuItem3,
this.menuItem4,
this.menuItem5,
this.menuItem8,
this.menuItem9,
this.menuItem10,
this.menuItem17,
this.menuItem18});
this.menuItem1.Text = "典型函数曲线";
//
// menuItem2
//
this.menuItem2.Index = 0;
this.menuItem2.Text = "正叶线";
this.menuItem2.Click += new System.EventHandler(this.menuItem2_Click);
//
// menuItem3
//
this.menuItem3.Index = 1;
this.menuItem3.Text = "星茫线";
this.menuItem3.Click += new System.EventHandler(this.menuItem3_Click);
//
// menuItem4
//
this.menuItem4.Index = 2;
this.menuItem4.Text = "抛物线";
this.menuItem4.Click += new System.EventHandler(this.menuItem4_Click);
//
// menuItem5
//
this.menuItem5.Index = 3;
this.menuItem5.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem6,
this.menuItem7});
this.menuItem5.Text = "高阶函数曲线";
//
// menuItem6
//
this.menuItem6.Index = 0;
this.menuItem6.Text = "3阶函数曲线";
this.menuItem6.Click += new System.EventHandler(this.menuItem6_Click);
//
// menuItem7
//
this.menuItem7.Index = 1;
this.menuItem7.Text = "5高阶函数曲线";
this.menuItem7.Click += new System.EventHandler(this.menuItem7_Click);
//
// menuItem8
//
this.menuItem8.Index = 4;
this.menuItem8.Text = "Nephroid曲线";
this.menuItem8.Click += new System.EventHandler(this.menuItem8_Click);
//
// menuItem9
//
this.menuItem9.Index = 5;
this.menuItem9.Text = "卡基奥依特曲线";
this.menuItem9.Click += new System.EventHandler(this.menuItem9_Click);
//
// menuItem10
//
this.menuItem10.Index = 6;
this.menuItem10.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem11,
this.menuItem12,
this.menuItem13});
this.menuItem10.Text = "李沙育曲线";
//
// menuItem11
//
this.menuItem11.Index = 0;
this.menuItem11.Text = "李沙育曲线1";
this.menuItem11.Click += new System.EventHandler(this.menuItem11_Click);
//
// menuItem12
//
this.menuItem12.Index = 1;
this.menuItem12.Text = "李沙育曲线2";
this.menuItem12.Click += new System.EventHandler(this.menuItem12_Click);
//
// menuItem13
//
this.menuItem13.Index = 2;
this.menuItem13.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem14,
this.menuItem15,
this.menuItem16});
this.menuItem13.Text = "练习";
//
// menuItem14
//
this.menuItem14.Index = 0;
this.menuItem14.Text = "（1）";
this.menuItem14.Click += new System.EventHandler(this.menuItem14_Click);
//
// menuItem15
//
this.menuItem15.Index = 1;
this.menuItem15.Text = "（2）";
this.menuItem15.Click += new System.EventHandler(this.menuItem15_Click);
//
// menuItem16
//
this.menuItem16.Index = 2;
this.menuItem16.Text = "（3）";
this.menuItem16.Click += new System.EventHandler(this.menuItem16_Click);
//
// menuItem17
//
this.menuItem17.Index = 7;
this.menuItem17.Text = "螺线";
this.menuItem17.Click += new System.EventHandler(this.menuItem17_Click);
//
// menuItem18
//
this.menuItem18.Index = 8;
this.menuItem18.Text = "心形线";
this.menuItem18.Click += new System.EventHandler(this.menuItem18_Click);
//
// menuItem19
//
this.menuItem19.Index = 1;
this.menuItem19.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem20,
this.menuItem21,
this.menuItem22});
this.menuItem19.Text = "图案曲线";
//
// menuItem20
//
this.menuItem20.Index = 0;
this.menuItem20.Text = "蔷薇花曲线";
this.menuItem20.Click += new System.EventHandler(this.menuItem20_Click);
//
// menuItem21
//
this.menuItem21.Index = 1;
this.menuItem21.Text = "变形蔷薇花图案";
this.menuItem21.Click += new System.EventHandler(this.menuItem21_Click);
//
// menuItem22
//
this.menuItem22.Index = 2;
this.menuItem22.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem23,
this.menuItem24,
this.menuItem25,
this.menuItem26});
this.menuItem22.Text = "砂丘风纹模样图";
//
// menuItem23
//
this.menuItem23.Index = 0;
this.menuItem23.Text = "沙丘图案1";
this.menuItem23.Click += new System.EventHandler(this.menuItem23_Click);
//
// menuItem24
//
this.menuItem24.Index = 1;
this.menuItem24.Text = "沙丘图案2";
this.menuItem24.Click += new System.EventHandler(this.menuItem24_Click);
//
// menuItem25
//
this.menuItem25.Index = 2;
this.menuItem25.Text = "沙丘图案3";
this.menuItem25.Click += new System.EventHandler(this.menuItem25_Click);
//
// menuItem26
//
this.menuItem26.Index = 3;
this.menuItem26.Text = "沙丘图案4";
this.menuItem26.Click += new System.EventHandler(this.menuItem26_Click);
//
// menuItem27
//
this.menuItem27.Index = 2;
this.menuItem27.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem28,
this.menuItem29,
this.menuItem30});
this.menuItem27.Text = "花边图案";
//
// menuItem28
//
this.menuItem28.Index = 0;
this.menuItem28.Text = "花边图案1";
this.menuItem28.Click += new System.EventHandler(this.menuItem28_Click);
//
// menuItem29
//
this.menuItem29.Index = 1;
this.menuItem29.Text = "花边图案2";
this.menuItem29.Click += new System.EventHandler(this.menuItem29_Click);
//
// menuItem30
//
this.menuItem30.Index = 2;
this.menuItem30.Text = "花边加图案";
this.menuItem30.Click += new System.EventHandler(this.menuItem30_Click);
//
// menuItem31
//
this.menuItem31.Index = 3;
this.menuItem31.MenuItems.AddRange(new System.Windows.Forms.MenuItem[] {
this.menuItem32,
this.menuItem33,
this.menuItem34,
this.menuItem35});
this.menuItem31.Text = "解析几何曲线";
//
// menuItem32
//
this.menuItem32.Index = 0;
this.menuItem32.Text = "心脏线";
this.menuItem32.Click += new System.EventHandler(this.menuItem32_Click);
//
// menuItem33
//
this.menuItem33.Index = 1;
this.menuItem33.Text = "玫瑰线";
this.menuItem33.Click += new System.EventHandler(this.menuItem33_Click);
//
// menuItem34
//
this.menuItem34.Index = 2;
this.menuItem34.Text = "坩线";
this.menuItem34.Click += new System.EventHandler(this.menuItem34_Click);
//
// menuItem35
//
this.menuItem35.Index = 3;
this.menuItem35.Text = "摆线";
this.menuItem35.Click += new System.EventHandler(this.menuItem35_Click);
//
// Form1
//
this.AutoScaleBaseSize = new System.Drawing.Size(6, 14);
this.ClientSize = new System.Drawing.Size(472, 357);
this.Menu = this.mainMenu1;
this.Name = "Form1";
this.Text = "Form1";
}
#endregion
/// <summary>
/// 应用程序的主入口点。
/// </summary>
[STAThread]
static void Main()
{
Application.Run(new Form1());
}
private void menuItem2_Click(object sender, System.EventArgs e)
{
//数学提示：
//正叶线数学表达式为：
//r=asin(nth)
//x=rcos(th)
//y=rsin(th)
//(a>0,n=2,3,4,5...)
//当n=2时为正叶线
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Black,2);
g.Clear(this.BackColor);
int a,n,cx,cy,gx,gy,flag,k;
double r,p,th,x,y,pi;
x=p1.X;y=p1.Y;
x=p2.X;y=p2.Y;
a=120;n=2;pi=3.14159;
cx=220;
cy=140;
flag=0;k=200;
for(p=1;p>=0.2;p-=0.2)
{
for(th=0;th<=2*pi+0.1;th+=pi/k)
{
r=Math.Abs(a*Math.Cos(n*th)*p);
x=(int)((r*Math.Cos(th)));
y=(int)((r*Math.Sin(th)));
gx=(int)(cx+x);
gy=(int)(cy+y);
if(flag==0)
{
p1.X=gx;p1.Y=gy;flag=1;
}
else
{
p2.X=gx;p2.Y=gy;
g.DrawLine(pen1,p1,p2);
p1=p2;
}
}
flag=0;
}
}
private void menuItem3_Click(object sender, System.EventArgs e)
{
//数学提示：
//星茫线数学表达式如下：
//x=a(cosθ)*(cosθ)*...*(cosθ)----有n个cosθ
//y=a(sinθ)*(sinθ)*...*(sinθ)----有n个sinθ
//(0<=θ<=2π）
//指数n=3时为星茫线
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Black);
g.Clear(this.BackColor);
int a,n,cx,cy,gx,gy,flag,k;
double th,x,y,pi;
x=p1.X;y=p1.Y;
x=p2.X;y=p2.Y;
n=3;pi=3.14159;
cx=220;
cy=160;
flag=0;k=32;
for(a=20;a<=160;a+=20)
{
for(th=0;th<=2*pi+0.1;th+=pi/k)
{
x=a*Math.Pow(Math.Cos(th),n);
y=a*Math.Pow(Math.Sin(th),n);
gx=(int)(cx+x);
gy=(int)(cy+y);
if(flag==0)
{
p1.X=gx;p1.Y=gy;flag=1;
}
else
{
p2.X=gx;p2.Y=gy;
g.DrawLine(pen1,p1,p2);
p1=p2;
}
}
flag=0;
}
}
private void menuItem4_Click(object sender, System.EventArgs e)
{
//[数学提示]
//抛物线数学公式如下：
//y=2*sqrt(a*x) (x>0)
//一般数学表达式如下：
//y=x*tanθ-g*(x*x)/(2*(u*u)*(cosθ*cosθ))
//式中：
//g 重力加速度
//u 初速度
//θ 角度
//x 高度
//y 水平距离
Graphics g=this.CreateGraphics();
Pen pen1=new Pen(Color.Black);
g.Clear(this.BackColor);
int cx,cy,gx,gy,flag,v;
double th,x,y,pi,gg,x0,y0;
pi=3.14159;
cx=320;
cy=120;
flag=0;
gg=9.8;
v=60;
for(th=0;th<=pi/2;th+=pi/24)
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