ug80表達(dá)式應(yīng)用-資料下載頁(yè)
2025-06-30 16:39本頁(yè)面
【正文】 1+sin(theta)yt=a*cos(theta)*(1+sin(theta))zt=0效果如圖911 圖911 圖912梨形四次曲線數(shù)學(xué)方程：b2y2=x3(ax)a=10b=6xt=10*tyt=sqrt(xt^3*(axt)/b^2)zt=0繪制后鏡像，效果如圖912the=t*360r=10+(3*sin(theta*))^2xt=r*cos(theta)yt=r*sin(theta)zt=5*sin(6*theta)效果如圖92 圖92 圖93theta=t*360r=3*cos(360*(t/(1+t^6))*6)+5xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖93theta=t*360r=cos(360*t*4)*+1xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖94 圖94 圖95r=5theta=t*720xt=r*cos(theta)yt=r*sin(theta)zt=sin(*theta90)效果如圖95xt=5*t^2yt=sin(t*8*360)*zt=0效果如圖96 圖96 圖97：y=a*cosh(x/a)a=5xt=t*105yt=a*(exp(xt/a)+exp(xt/a))/2zt=0效果如圖97r=t*80+50theta=t*360*10z=t*80效果如圖98 圖98 圖99r=t^3+t*(t+1)theta=t*360phi=t^2*360*50xt=r*cos(phi)yt=r*sin(phi)zt=r*cos(theta)效果如圖99：r=4a*cos3(θ/3)a=5theta=359*tr=4*a*(cos(theta/3))^3xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖100 圖100 圖101對(duì)數(shù)函數(shù)的數(shù)學(xué)方程：y=log(x)，~，即對(duì)數(shù)曲線的UG表達(dá)式為：xt=10*tyt=log(10*t+)zt=0效果如圖101：r=a*cos(2θ)/cosθa=10theta=t*17889或【theta=t*178+91】r=a*cos(2*theta)/cos(theta)xt=r*cos(theta)yt=r*sin(theta)zt=0當(dāng)theta=t*12060時(shí)的效果如圖102 圖102 圖103：r=2a*sin3θ/sin2θa=10theta=89*t+=89*t+r=2*a*sin(3*theta)/sin(2*theta)xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖103：x=ath*sin(t)；y=ah*cos(t)a=3h=6theta=360*t*5xt=a*rad(theta)h*sin(theta)yt=ah*cos(theta)zt=0效果如圖104 圖104 圖105：x=a*sin(m+n)t/sin(mn)t；y=2a*sin(mt)sin(nt)/sin(mn)ta=10m=8n=7theta=*t+xt=a*sin((m+n)*theta)/sin((mn)*theta)yt=2*a*sin(m*theta)*sin(n*theta)/sin((mn)*theta)zt=0效果如圖105：y3=ax2a=10xt=15*tyt=a^(1/3)*xt^(2/3)zt=0【或yt=15*t，xt=sqrt(yt^3/a)，zt=0】效果如圖106 圖106 圖107：y=ax2log(x)a=xt=10*t+yt=a*xt^2log(xt)zt=0效果如圖107：r=b2/(a*cos2θ)a=10b=6theta=t*12060r=(b^2)/(a*(cos(theta)^2))xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖108 圖108 圖109：r2=a2cos(2θ)a=5theta=t*9045r=a*sqrt(cos(2*theta))xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖109：x=1/cosh(t)；y=ttanh(t) (分兩段做)xt=2/(exp(t)+exp(t))yt=t(exp(t)exp(t))/(exp(t)+exp(t))zt=0效果如圖110：(x/a)n+(y/b)n=1a=10b=8n=5xt=t*yt=(1(xt/a)^n)^(n/1)zt=0效果如圖111 圖110 圖111：r=((2524tan2θ)/(1tan2θ))1/2theta=t*r=sqrt((2524*tan(2*theta))/(1tan(2*theta)))xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖112 圖112 圖113：r2=a2cos2θsec4θa=5theta=t*r=a*sqrt(cos(2*theta)/cos(4*theta))xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖113：x2y+abya2x=0a=5b=3xt=40*t20yt=a^2*xt/(xt^2+a*b)zt=0效果如圖114 圖114 圖115：a(r*cosθa)=k2cos2θa=5k=16theta=t*17889r=(k^2*cos(2*theta)+a^2)/(a*cos(theta))xt=r*cos(theta)yt=r*sin(theta)zt=0效果如圖115：r2=b2(a*sinθ177。(c2a2cos2θ)1/2)2a=3b=8c=5theta=t*360r1=sqrt(b^2(a*sin(theta)+(c^2a^2*(cos(theta))^2)^(1/2))^2)r2=sqrt(b^2(a*sin(theta)(c^2a^2*(cos(theta))^2)^(1/2))^2)xt=r1*cos(theta)或xt=r2*cos(theta)yt=r1*sin(theta)或yt=r2*sin(theta)zt=0效果如圖1161或1162 圖1161 圖1162r=t^3+t*(t+1)theta=t*360phi=t^2*360*100xt=r*sin(theta)*cos(phi)yt=r*sin(theta)*sin(phi)zt=r*cos(theta)效果如圖117 圖117 圖118蝴蝶蘭線的UG表達(dá)式為：theta=360*tr=10(3*sin(theta*3))^2xt=r*cos(theta)yt=r*sin(theta)zt=r*sin(theta*3)效果如圖118a=1*t* 若a=1*t*b=q2*t*360 b=6*t*360c=q3*t*360 c=16*t*360rr1=w1 rr1=10rr2=w2 rr2=8rr3=w3 rr3=6x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c)y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c)該曲線方程中qqwww3不知是多少？效果如圖11120 圖119 圖120
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