1、ProE曲線方程式大集合目錄giu開思網(wǎng)第1頁(yè)：1碟形彈簧、2葉形線、3螺旋線(Helical curve)、4蝴蝶曲線和5漸開線；giu開思網(wǎng)第2頁(yè)：6螺旋線、7對(duì)數(shù)曲線、8球面螺旋線、9雙弧外擺線和10星行線；giu開思網(wǎng)第3頁(yè)：11心臟線、12圓內(nèi)螺旋線、13正弦曲線、14太陽(yáng)線和15費(fèi)馬曲線（有點(diǎn)像螺紋線）；giu開思網(wǎng)第4頁(yè)：16Talbot 曲線、17-4葉線、18Rhodonea 曲線 、19拋物線和20螺旋線；giu開思網(wǎng)第5頁(yè)：21三葉線、22外擺線、23Lissajous 曲線、24長(zhǎng)短幅圓內(nèi)旋輪線和25長(zhǎng)短幅圓外旋輪線；giu開思網(wǎng)第6頁(yè)：26三尖瓣線、27概率曲線、28

2、箕舌線、29阿基米德螺線和30對(duì)數(shù)螺線；giu開思網(wǎng)第7頁(yè)：31蔓葉線、32tan曲線、33雙曲余弦、34雙曲正弦和35雙曲正切；giu開思網(wǎng)第8頁(yè)：36一峰三駐點(diǎn)曲線、37八字曲線、38螺旋曲線、39圓和40封閉球形環(huán)繞曲線；giu開思網(wǎng)第9頁(yè)：41柱坐標(biāo)螺旋曲線、42蛇形曲線、43-8字形曲線、44橢圓曲線和45梅花曲線；giu開思網(wǎng)第10頁(yè)：46花曲線、47空間感更強(qiáng)的花曲線、48螺旋上升的橢圓線、49螺旋花曲線和50鼓形線；giu開思網(wǎng)第11頁(yè)：51長(zhǎng)命鎖曲線、52簪形線、53螺旋上升曲線、54蘑菇曲線和55-8字曲線；giu開思網(wǎng)第12頁(yè)：56梅花曲線、57桃形曲線、58碟形彈簧、5

3、9環(huán)形二次曲線和60蝶線；giu開思網(wǎng)第13頁(yè)：61正弦周彈簧、62環(huán)形螺旋線、63內(nèi)接彈簧、64多變內(nèi)接式彈簧和65柱面正弦波線；giu開思網(wǎng)第14頁(yè)：66ufo（漩渦線）手把曲線、67籃子、68圓柱齒輪齒廓的漸開線方程和69對(duì)數(shù)螺旋曲線；giu開思網(wǎng)第15頁(yè)：70罩形線、71向日葵線、72太陽(yáng)線、73塔形螺旋線和74花瓣線；giu開思網(wǎng)第16頁(yè)：75雙元寶線、76阿基米德螺線的變形、77漸開線方程、78雙魚曲線和79蝴蝶結(jié)曲線；giu開思網(wǎng)第17頁(yè)：80“兩相望”曲線、81小蜜蜂、82彎月、83熱帶魚和84燕尾剪；giu開思網(wǎng)第18頁(yè)：85天蠶絲、86心電圖、87變化后的星形線、88小白兔

4、和89大家好；giu開思網(wǎng)第19頁(yè)：90蛇形線、91五環(huán)、92蜘蛛網(wǎng)、93次聲波和94十字漸開線；giu開思網(wǎng)第20頁(yè)：95內(nèi)五環(huán)和96蝸軌線；97 余璇關(guān)系整列g(shù)iu開思網(wǎng)1.碟形彈簧giu開思網(wǎng)圓柱坐標(biāo) giu開思網(wǎng)方程：r = 5 giu開思網(wǎng)theta = t*3600 giu開思網(wǎng)z =(sin(3.5*theta-90)+24*tgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖1giu開思網(wǎng)giu開思網(wǎng)2.葉形線.giu開思網(wǎng)笛卡兒坐標(biāo)標(biāo)giu開思網(wǎng)方程：a=10 giu開思網(wǎng)x=3*a*t/(1+(t3) giu開思網(wǎng)y=3*a*(t2)/(1+(t3)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)

5、圖2giu開思網(wǎng)giu開思網(wǎng)3.螺旋線(Helical curve)giu開思網(wǎng)圓柱坐標(biāo)（cylindrical） giu開思網(wǎng)方程： r=t giu開思網(wǎng)theta=10+t*(20*360) giu開思網(wǎng)z=t*3giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖3giu開思網(wǎng)giu開思網(wǎng)4.蝴蝶曲線giu開思網(wǎng)球坐標(biāo) giu開思網(wǎng)方程：rho = 8 * t giu開思網(wǎng)theta = 360 * t * 4 giu開思網(wǎng)phi = -360 * t * 8giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖4giu開思網(wǎng)giu開思網(wǎng)5.漸開線giu開思網(wǎng)采用笛卡爾坐標(biāo)系giu開思網(wǎng)方程：r=1 giu開思網(wǎng)an

6、g=360*t giu開思網(wǎng)s=2*pi*r*t giu開思網(wǎng)x0=s*cos(ang) giu開思網(wǎng)y0=s*sin(ang) giu開思網(wǎng)x=x0+s*sin(ang) giu開思網(wǎng)y=y0-s*cos(ang) giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖5giu開思網(wǎng)6.螺旋線.giu開思網(wǎng)笛卡兒坐標(biāo) giu開思網(wǎng)方程：x = 4 * cos ( t *(5*360) giu開思網(wǎng)y = 4 * sin ( t *(5*360) giu開思網(wǎng)z = 10*tgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖6giu開思網(wǎng)giu開思網(wǎng)7.對(duì)數(shù)曲線giu開思網(wǎng)笛卡爾坐標(biāo)系 giu開思網(wǎng)方程

7、：z=0 giu開思網(wǎng)x = 10*t giu開思網(wǎng)y = log(10*t+0.0001)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖7giu開思網(wǎng)giu開思網(wǎng)8.球面螺旋線giu開思網(wǎng)采用球坐標(biāo)系giu開思網(wǎng)方程：rho=4 giu開思網(wǎng)theta=t*180 giu開思網(wǎng)phi=t*360*20giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖8giu開思網(wǎng)giu開思網(wǎng)9.雙弧外擺線giu開思網(wǎng)卡迪爾坐標(biāo) giu開思網(wǎng)方程： l=2.5 giu開思網(wǎng)b=2.5 giu開思網(wǎng)x=3*b*cos(t*360)+l*cos(3*t*360) giu開思網(wǎng)Y=3*b*sin(t*360)+l*sin(3*t*36

8、0)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖9giu開思網(wǎng)giu開思網(wǎng)10.星行線giu開思網(wǎng)卡迪爾坐標(biāo) giu開思網(wǎng)方程：a=5 giu開思網(wǎng)x=a*(cos(t*360)3 giu開思網(wǎng)y=a*(sin(t*360)3giu開思網(wǎng)giu開思網(wǎng)圖10giu開思網(wǎng)11.心臟線giu開思網(wǎng)圓柱坐標(biāo)giu開思網(wǎng)方程：a=10 giu開思網(wǎng)r=a*(1+cos(theta) giu開思網(wǎng)theta=t*360giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖11giu開思網(wǎng)giu開思網(wǎng)12.圓內(nèi)螺旋線giu開思網(wǎng)采用柱座標(biāo)系 giu開思網(wǎng)方程：theta=t*360 giu開思網(wǎng)r=10+10*sin(6*the

9、ta) giu開思網(wǎng)z=2*sin(6*theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖12giu開思網(wǎng)giu開思網(wǎng)13.正弦曲線giu開思網(wǎng)笛卡爾坐標(biāo)系 giu開思網(wǎng)方程：x=50*t giu開思網(wǎng)y=10*sin(t*360) giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖13giu開思網(wǎng)giu開思網(wǎng)14.太陽(yáng)線（這本來是做別的曲線的，結(jié)果做錯(cuò)了，就變成這樣了）giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖14giu開思網(wǎng)giu開思網(wǎng)15.費(fèi)馬曲線（有點(diǎn)像螺紋線）giu開思網(wǎng)數(shù)學(xué)方程：rr = a*a*thetagiu開思網(wǎng)圓柱坐標(biāo)giu開思網(wǎng)方程1: theta=360*t*5giu

10、開思網(wǎng)a=4giu開思網(wǎng)r=a*sqrt(theta*180/pi)giu開思網(wǎng)方程2: theta=360*t*5giu開思網(wǎng)a=4giu開思網(wǎng)r=-a*sqrt(theta*180/pi)giu開思網(wǎng)由于Pro/e只能做連續(xù)的曲線，所以只能分兩次做giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖15giu開思網(wǎng)16.Talbot 曲線giu開思網(wǎng)卡笛爾坐標(biāo)giu開思網(wǎng)方程：theta=t*360giu開思網(wǎng)a=1.1giu開思網(wǎng)b=0.666giu開思網(wǎng)c=sin(theta)giu開思網(wǎng)f=1giu開思網(wǎng)x = (a*a+f*f*c*c)*cos(theta)/agiu開思網(wǎng)y = (a*a-2*

11、f+f*f*c*c)*sin(theta)/bgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖16giu開思網(wǎng)giu開思網(wǎng)17.4葉線（一個(gè)方程做的，沒有復(fù)制）giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖17giu開思網(wǎng)giu開思網(wǎng)18.Rhodonea 曲線 giu開思網(wǎng)采用笛卡爾坐標(biāo)系 giu開思網(wǎng)方程：theta=t*360*4 giu開思網(wǎng)x=25+(10-6)*cos(theta)+10*cos(10/6-1)*theta) giu開思網(wǎng)y=25+(10-6)*sin(theta)-6*sin(10/6-1)*theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖18giu開思網(wǎng)giu開思網(wǎng)19. 拋物

12、線 giu開思網(wǎng)笛卡兒坐標(biāo)giu開思網(wǎng)方程：x =(4 * t) giu開思網(wǎng)y =(3 * t) + (5 * t 2) giu開思網(wǎng)z =0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖19giu開思網(wǎng)giu開思網(wǎng)20.螺旋線giu開思網(wǎng)圓柱坐標(biāo)giu開思網(wǎng)方程：r = 5 giu開思網(wǎng)theta = t*1800 giu開思網(wǎng)z =(cos(theta-90)+24*tgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖20giu開思網(wǎng)21.三葉線giu開思網(wǎng)圓柱坐標(biāo)giu開思網(wǎng)方程：a=1giu開思網(wǎng)theta=t*380giu開思網(wǎng)b=sin(theta)giu開思網(wǎng)r=a*cos(theta)*(4*b

13、*b-1)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖21giu開思網(wǎng)22.外擺線giu開思網(wǎng)迪卡爾坐標(biāo)giu開思網(wǎng)方程：theta=t*720*5giu開思網(wǎng)b=8giu開思網(wǎng)a=5giu開思網(wǎng)x=(a+b)*cos(theta)-b*cos(a/b+1)*theta)giu開思網(wǎng)y=(a+b)*sin(theta)-b*sin(a/b+1)*theta)giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖22giu開思網(wǎng)giu開思網(wǎng)23. Lissajous 曲線giu開思網(wǎng)theta=t*360giu開思網(wǎng)a=1giu開思網(wǎng)b=1giu開思網(wǎng)c=100giu開思網(wǎng)n=3giu開思網(wǎng)x=a*

14、sin(n*theta+c)giu開思網(wǎng)y=b*sin(theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖23giu開思網(wǎng)giu開思網(wǎng)24.長(zhǎng)短幅圓內(nèi)旋輪線giu開思網(wǎng)卡笛爾坐標(biāo)giu開思網(wǎng)方程：a=5giu開思網(wǎng)b=7giu開思網(wǎng)c=2.2giu開思網(wǎng)theta=360*t*10giu開思網(wǎng)x=(a-b)*cos(theta)+c*cos(a/b-1)*theta)giu開思網(wǎng)y=(a-b)*sin(theta)-c*sin(a/b-1)*theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖24giu開思網(wǎng)giu開思網(wǎng)25.長(zhǎng)短幅圓外旋輪線giu開思網(wǎng)卡笛爾坐標(biāo)giu開思網(wǎng)方程：theta=t

15、*360*10giu開思網(wǎng)a=5giu開思網(wǎng)b=3giu開思網(wǎng)c=5giu開思網(wǎng)x=(a+b)*cos(theta)-c*cos(a/b+1)*theta)giu開思網(wǎng)y=(a+b)*sin(theta)-c*sin(a/b+1)*theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖25giu開思網(wǎng)26. 三尖瓣線giu開思網(wǎng)a=10giu開思網(wǎng)x = a*(2*cos(t*360)+cos(2*t*360)giu開思網(wǎng)y = a*(2*sin(t*360)-sin(2*t*360)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖26giu開思網(wǎng)giu開思網(wǎng)27.概率曲線！giu開思網(wǎng)方程：giu開思網(wǎng)笛

16、卡兒坐標(biāo)giu開思網(wǎng)x = t*10-5giu開思網(wǎng)y = exp(0-x2)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖27giu開思網(wǎng)giu開思網(wǎng)28.箕舌線giu開思網(wǎng)笛卡兒坐標(biāo)系giu開思網(wǎng)a = 1giu開思網(wǎng)x = -5 + t*10giu開思網(wǎng)y = 8*a3/(x2+4*a2)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖28giu開思網(wǎng)giu開思網(wǎng)29.阿基米德螺線giu開思網(wǎng)柱坐標(biāo)giu開思網(wǎng)a=100giu開思網(wǎng)theta = t*400giu開思網(wǎng)r = a*thetagiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖29giu開思網(wǎng)giu開思網(wǎng)30.對(duì)數(shù)螺線giu開思網(wǎng)柱坐標(biāo)giu開思網(wǎng)the

17、ta = t*360*2.2giu開思網(wǎng)a = 0.005giu開思網(wǎng)r = exp(a*theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖3031.蔓葉線giu開思網(wǎng)笛卡兒坐標(biāo)系giu開思網(wǎng)a=10giu開思網(wǎng)y=t*100-50giu開思網(wǎng)solvegiu開思網(wǎng)x3 = y2*(2*a-x)giu開思網(wǎng)for xgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖31giu開思網(wǎng)giu開思網(wǎng)32.tan曲線giu開思網(wǎng)笛卡兒坐標(biāo)系giu開思網(wǎng)x = t*8.5 -4.25giu開思網(wǎng)y = tan(x*20)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖32giu開思網(wǎng)giu開思網(wǎng)33.雙曲余弦giu開思網(wǎng)x

18、= 6*t-3giu開思網(wǎng)y = (exp(x)+exp(0-x)/2giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖33giu開思網(wǎng)giu開思網(wǎng)34.雙曲正弦giu開思網(wǎng)x = 6*t-3giu開思網(wǎng)y = (exp(x)-exp(0-x)/2giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖34giu開思網(wǎng)giu開思網(wǎng)35.雙曲正切g(shù)iu開思網(wǎng)x = 6*t-3giu開思網(wǎng)y = (exp(x)-exp(0-x)/(exp(x)+exp(0-x)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖35giu開思網(wǎng)36.一峰三駐點(diǎn)曲線giu開思網(wǎng)x = 3*t-1.5giu開思網(wǎng)y=(x2-1)3+1giu開思網(wǎng)giu開思網(wǎng)g

19、iu開思網(wǎng)圖36giu開思網(wǎng)giu開思網(wǎng)37.八字曲線giu開思網(wǎng)x = 2 * cos ( t *(2*180) giu開思網(wǎng)y = 2 * sin ( t *(5*360) giu開思網(wǎng)z = 0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖37giu開思網(wǎng)giu開思網(wǎng)38.螺旋曲線giu開思網(wǎng)r=t*(10*180)+1giu開思網(wǎng)theta=10+t*(20*180)giu開思網(wǎng)z=tgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖38giu開思網(wǎng)giu開思網(wǎng)39.圓giu開思網(wǎng)x = cos ( t *(5*180) giu開思網(wǎng)y = sin ( t *(5*180) giu開思網(wǎng)z = 0giu開

20、思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖39giu開思網(wǎng)giu開思網(wǎng)40.封閉球形環(huán)繞曲線giu開思網(wǎng)rho=2giu開思網(wǎng)theta=360*tgiu開思網(wǎng)phi=t*360*10giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖40giu開思網(wǎng)41.柱坐標(biāo)螺旋曲線giu開思網(wǎng)x = 100*t * cos ( t *(5*180) giu開思網(wǎng)y = 100*t * sin ( t *(5*180) giu開思網(wǎng)z = 0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖41giu開思網(wǎng)42.蛇形曲線giu開思網(wǎng)x = 2 * cos ( (t+1) *(2*180) giu開思網(wǎng)y = 2 * sin ( t *(5*3

21、60) giu開思網(wǎng)z = t*(t+1)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖42giu開思網(wǎng)giu開思網(wǎng)43.8字形曲線giu開思網(wǎng)柱坐標(biāo)giu開思網(wǎng)theta = t*360giu開思網(wǎng)r=10+(8*sin(theta)2giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖43giu開思網(wǎng)giu開思網(wǎng)44.橢圓曲線giu開思網(wǎng)笛卡爾坐標(biāo)系giu開思網(wǎng)a = 10giu開思網(wǎng)b = 20giu開思網(wǎng)theta = t*360giu開思網(wǎng)x = a*cos(theta)giu開思網(wǎng)y = b*sin(theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖44giu開思網(wǎng)giu開思網(wǎng)45.梅花曲線giu開思網(wǎng)

22、柱坐標(biāo)giu開思網(wǎng)theta = t*360giu開思網(wǎng)r=10+(3*sin(theta*2.5)2giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖45giu開思網(wǎng)46.另一個(gè)花曲線giu開思網(wǎng)theta = t*360giu開思網(wǎng)r=10-(3*sin(theta*3)2giu開思網(wǎng)z=4*sin(theta*3)2giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖46giu開思網(wǎng)giu開思網(wǎng)47.改一下就成為空間感更強(qiáng)的花曲線了;)giu開思網(wǎng)theta = t*360giu開思網(wǎng)r=10-(3*sin(theta*3)2giu開思網(wǎng)z=(r*sin(theta*3)2giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖4

23、7giu開思網(wǎng)giu開思網(wǎng)48.螺旋上升的橢圓線giu開思網(wǎng)a = 10giu開思網(wǎng)b = 20giu開思網(wǎng)theta = t*360*3giu開思網(wǎng)x = a*cos(theta)giu開思網(wǎng)y = b*sin(theta)giu開思網(wǎng)z=t*12giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖48giu開思網(wǎng)giu開思網(wǎng)49.甚至這種螺旋花曲線giu開思網(wǎng)theta = t*360*4giu開思網(wǎng)r=10+(3*sin(theta*2.5)2giu開思網(wǎng)z = t*16giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖49giu開思網(wǎng)giu開思網(wǎng)50 鼓形線 giu開思網(wǎng)笛卡爾方程giu開思網(wǎng)r=5+3.3*s

24、in(t*180)+tgiu開思網(wǎng)theta=t*360*10giu開思網(wǎng)z=t*10 giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖50giu開思網(wǎng)51 長(zhǎng)命鎖曲線giu開思網(wǎng)笛卡爾方程：giu開思網(wǎng)a=1*t*359.5giu開思網(wǎng)b=q2*t*360giu開思網(wǎng)c=q3*t*360giu開思網(wǎng)rr1=w1giu開思網(wǎng)rr2=w2giu開思網(wǎng)rr3=w3giu開思網(wǎng)x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c)giu開思網(wǎng)y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖51giu開思網(wǎng)giu開思網(wǎng)52 簪形線giu開思

25、網(wǎng)球坐標(biāo) giu開思網(wǎng)方程：giu開思網(wǎng)rho=200*tgiu開思網(wǎng)theta=900*tgiu開思網(wǎng)phi=t*90*10giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖52giu開思網(wǎng)giu開思網(wǎng)53.螺旋上升曲線giu開思網(wǎng)r=t10giu開思網(wǎng)theta=t3*360*6*3+t3*360*3*3giu開思網(wǎng)z=t3*(t+1)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖53giu開思網(wǎng)giu開思網(wǎng)54.蘑菇曲線giu開思網(wǎng)rho=t3+t*(t+1)giu開思網(wǎng)theta=t*360giu開思網(wǎng)phi=t2*360*20*20giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖54giu開思網(wǎng)giu開思網(wǎng)55.

26、 8字曲線giu開思網(wǎng)a=1giu開思網(wǎng)b=1giu開思網(wǎng)x=3*b*cos(t*360)+a*cos(3*t*360)giu開思網(wǎng)Y=b*sin(t*360)+a*sin(3*t*360)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖55giu開思網(wǎng)56.梅花曲線giu開思網(wǎng)theta=t*360giu開思網(wǎng)r=100+50*cos(5*theta)giu開思網(wǎng)z=2*cos(5*theta)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖56giu開思網(wǎng)giu開思網(wǎng)57.桃形曲線giu開思網(wǎng)rho=t3+t*(t+1)giu開思網(wǎng)theta=t*360giu開思網(wǎng)phi=t2*360*10*10giu開思網(wǎng)

27、giu開思網(wǎng)giu開思網(wǎng)圖57giu開思網(wǎng)giu開思網(wǎng)58.名稱:碟形彈簧 giu開思網(wǎng)建立環(huán)境:pro/e giu開思網(wǎng)圓柱坐 giu開思網(wǎng)r = 5 giu開思網(wǎng)theta = t*3600 giu開思網(wǎng)z =(sin(3.5*theta-90)+24giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖58giu開思網(wǎng)giu開思網(wǎng)59.環(huán)形二次曲線giu開思網(wǎng)笛卡兒方程：giu開思網(wǎng)x=50*cos(t*360)giu開思網(wǎng)y=50*sin(t*360)giu開思網(wǎng)z=10*cos(t*360*8)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖59giu開思網(wǎng)giu開思網(wǎng)60 蝶線giu開思網(wǎng)球坐標(biāo)：giu開思

28、網(wǎng)rho=4*sin(t*360)+6*cos(t*3602)giu開思網(wǎng)theta=t*360giu開思網(wǎng)phi=log(1+t*360)*t*360giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖60giu開思網(wǎng)61.正弦周彈簧giu開思網(wǎng)笛卡爾：giu開思網(wǎng)ang1=t*360giu開思網(wǎng)ang2=t*360*20giu開思網(wǎng)x=ang1*2*pi/360giu開思網(wǎng)y=sin(ang1)*5+cos(ang2)giu開思網(wǎng)z=sin(ang2)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖61giu開思網(wǎng)62.環(huán)形螺旋線giu開思網(wǎng)x=（50+10*sin(t*360*15)*cos(t*360)giu

29、開思網(wǎng)y=(50+10*sin(t*360*15)*sin(t*360)giu開思網(wǎng)z=10*cos(t*360*5)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖62giu開思網(wǎng)giu開思網(wǎng)63.內(nèi)接彈簧giu開思網(wǎng)x=2*cos(t*360*10)+cos(t*180*10)giu開思網(wǎng)y=2*sin(t*360*10)+sin(t*180*10)giu開思網(wǎng)z=t*6giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖63giu開思網(wǎng)giu開思網(wǎng)64.多變內(nèi)接式彈簧giu開思網(wǎng)x=3*cos(t*360*8)-1.5*cos(t*480*8)giu開思網(wǎng)y=3*sin(t*360*8)-1.5*sin(t*4

30、80*8)giu開思網(wǎng)z=t*8giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖64giu開思網(wǎng)giu開思網(wǎng)65.柱面正弦波線giu開思網(wǎng)柱坐標(biāo)：giu開思網(wǎng)方程giu開思網(wǎng)r=30giu開思網(wǎng)theta=t*360giu開思網(wǎng)z=5*sin(5*theta-90)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖65giu開思網(wǎng)66. ufo （漩渦線）giu開思網(wǎng)球坐標(biāo)：giu開思網(wǎng)rho=t*202giu開思網(wǎng)theta=t*log(30)*60giu開思網(wǎng)phi=t*7200giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖66giu開思網(wǎng)giu開思網(wǎng)67. 手把曲線giu開思網(wǎng)thta0=t*360giu開思網(wǎng)tht

31、a1=t*360*6giu開思網(wǎng)r0=400giu開思網(wǎng)r1=40giu開思網(wǎng)r=r0+r1*cos(thta1)giu開思網(wǎng)x=r*cos(thta0)giu開思網(wǎng)y=r1*sin(thta1)giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖67giu開思網(wǎng)giu開思網(wǎng)68.籃子 giu開思網(wǎng)圓柱坐標(biāo) giu開思網(wǎng)r=5+0.3*sin(t*180)+t giu開思網(wǎng)theta=t*360*30 giu開思網(wǎng)z=t*5giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖68giu開思網(wǎng)giu開思網(wǎng)69. 圓柱齒輪齒廓的漸開線方程：giu開思網(wǎng)afa=60*tgiu開思網(wǎng)x=10*cos(afa)+

32、pi*10*afa/180*sin(afa)giu開思網(wǎng)x=10*sin(afa)-pi*10*afa/180*cos(afa)giu開思網(wǎng)z=0giu開思網(wǎng)注：afa為壓力角，取值范圍是0到60，10為基圓半徑。giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖69giu開思網(wǎng)giu開思網(wǎng)70.對(duì)數(shù)螺旋曲線giu開思網(wǎng)柱坐標(biāo)：giu開思網(wǎng)r=sqrt(theta)giu開思網(wǎng)theta=t*360*30giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖70giu開思網(wǎng)71. 罩形線giu開思網(wǎng)球坐標(biāo):giu開思網(wǎng)rho=4giu開思網(wǎng)theta=t*60giu開思網(wǎng)phi=t*360*10giu開

33、思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖71giu開思網(wǎng)giu開思網(wǎng)72. 向日葵線giu開思網(wǎng)theta=t*360giu開思網(wǎng)r=30+10*sin(theta*30)giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖72giu開思網(wǎng)giu開思網(wǎng)73. 太陽(yáng)線giu開思網(wǎng)r=1.5*cos(50*theta)+1giu開思網(wǎng)theta=t*360giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖73giu開思網(wǎng)giu開思網(wǎng)74 塔形螺旋線giu開思網(wǎng)r=t*80+50giu開思網(wǎng)theta=t*360*10giu開思網(wǎng)z=t*80giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖74giu開思網(wǎng)gi

34、u開思網(wǎng)75 花瓣線giu開思網(wǎng)球坐標(biāo)：giu開思網(wǎng)rho=t*20giu開思網(wǎng)theta=t*360*90giu開思網(wǎng)phi=t*360*10giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖75giu開思網(wǎng)76 雙元寶線giu開思網(wǎng)r=sin(t*360*10)+30giu開思網(wǎng)theta=sin(t*360*15)giu開思網(wǎng)z=sin(t*3)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖76giu開思網(wǎng)giu開思網(wǎng)77 阿基米德螺線的變形（自己想得）giu開思網(wǎng)不知前面有沒有？:whatgiu開思網(wǎng)柱坐標(biāo)下：giu開思網(wǎng)theta=360*2*(t-0.5)giu開思網(wǎng)r=10*thetagiu開思網(wǎng)z

35、=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖77giu開思網(wǎng)giu開思網(wǎng)78 改過來的漸開線方程giu開思網(wǎng)r=20giu開思網(wǎng)ang = t*360giu開思網(wǎng)x=r*cos(ang)+2*pi*r*t*sin(ang)giu開思網(wǎng)y=r*sin(ang)-2*pi*r*t*cos(ang)giu開思網(wǎng)z=0giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖78giu開思網(wǎng)giu開思網(wǎng)79 雙魚曲線giu開思網(wǎng)球坐標(biāo)系giu開思網(wǎng)rho=30+10*sin(t*360*10)giu開思網(wǎng)theta=t*180*cos(t*360*10)giu開思網(wǎng)phi=t*360*30giu開思網(wǎng)giu開思網(wǎng)giu開思

36、網(wǎng)圖79giu開思網(wǎng)giu開思網(wǎng)80 蝴蝶結(jié)曲線giu開思網(wǎng)x=200*t*sin(t*3600)giu開思網(wǎng)y=250*t*cos(t*3600)giu開思網(wǎng)z=300*t*sin(t*1800)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖80giu開思網(wǎng)81 ”兩相望“曲線giu開思網(wǎng)球坐標(biāo)系giu開思網(wǎng)rho=30giu開思網(wǎng)theta=t*360*cos(t*360*20)giu開思網(wǎng)phi=t*360*20giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖81giu開思網(wǎng)82 小蜜蜂giu開思網(wǎng)笛卡爾坐標(biāo)系： giu開思網(wǎng)x=cos(t*360)+cos(3*t*360) giu開思網(wǎng)Y=sin(t*

37、360)+sin(5*t*360)giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖82giu開思網(wǎng)giu開思網(wǎng)83 彎月giu開思網(wǎng)x=cos(t*360)+cos(2*t*360) giu開思網(wǎng)Y=sin(t*360)*2+sin(t*360)*2giu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖83giu開思網(wǎng)giu開思網(wǎng)84 熱帶魚giu開思網(wǎng)a=5 giu開思網(wǎng)x=(a*(cos(t*360*3)4)*t giu開思網(wǎng)y=(a*(sin(t*360*3)4)*tgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖84giu開思網(wǎng)giu開思網(wǎng)85 燕尾剪 giu開思網(wǎng)x=3*cos(t*360*4) giu開思網(wǎng)y=3*sin(t*360*3) giu開思網(wǎng)z=tgiu開思網(wǎng)giu開思網(wǎng)giu開思網(wǎng)圖85giu開思網(wǎng)86 天蠶絲 giu開思網(wǎng)theta=t*3600 giu開思網(wǎng)r=(cos(360*t*20)*