求y=(x 10)的平方分之36x的最大值-搜答案-智慧作业帮

3x^2+xy-2y^2=(3x-2y)(x+y)=0x=-2y/3,或x=-y但由于你要求的式子中分母里有X平方-Y平方x=-y舍去其他就代入吧

（x+y）²=（7/6）²=49/36（x-y）²=625/36则x²+y²+2xy=49/36①x²+y²-2xy=625/36

x/y=2平方x²/y²=4原式分子分母同除以y²所以原式=(x²/y²-x/y+3)/(x²/y²+x/y+6)=(4-2+3)

设x/2=y/3=z/4=a则:x=2a;y=3a;z=4a代入得：(xy+yz+zx)/(x^2+y^2+z^2)=(6a^2+12a^2+8a^2)/(4a^2+9a^2+16a^2)=26a^2

注意到所求式上下是齐次的(都是二次)因此将y=3x或y=-3x代入得结果是10/13或16/7说错了应该反一反答案是对的

x/y=7/2(x²-3xy+2y²)/(x²+2xy+y²)=[(x/y)²-3(x/y)+2]/[(x/y)²+2(x/y)+1]=[(

已知5x-4y=0,切xy≠0,x/y=4/5;求(x平方-y平方)分之(x平方+y平方)-(x-y)分之(x+y)的值=(x²+y²)/(x²-y²)-(x+

x/y=1/2y=2x(x^2+2xy+y^2)/(x^2-xy+y^2)=(x^2+2x*2x+(2x)^2)/(x^2-x*2x+(2x)^2)=9x^2/3x^2=3

y分之x=2分之1y=2x所以原原式=(x²-2x²-8x²)分之（x²＋4x²＋4x²）=-9分之9=-1

令3分之x=4分之y=6分之z=kx=3k,y=4kz=6k(xy+yz+xz)/(x^2+y^2+z^2)=k^2(12+18+24)/k^2(36+16+9)=54/61

y/x=2/7(x^2-y^2)/(x^2+2xy+y^2)=(x+y)(x-y)/(x+y)^=(x-y)/(x+y)上下同除x=(1-y/x)/(1+y/x)=(1-2/7)/(1+2/7)=5/

由题意可知：D(X)=E(X^2)-(E(X))^2=2(X1-3)^2+(X2-3)^2+(X3-3)^2+……+(x10-3)^2=120,则E{(X-3)^2}=120/10=12E(X^2)=

x+7y=y-3x4x=-6yy=-2x/3所以y²=4x²/9所以原式=(x²+4x²/9)/(x²-4x²/9)=(13x²/

因为x=3y,所以原式=[（3y)²-3y·y+y²]分之[(3y)²+2·3y·y-3y²]=7y²分之12y²=7分之12

x=3y时,原式=10/13x=-3y时,原式=16/7

因为X/Y=3,所以X≠0,且Y≠0所以XY≠0,Y/X=1/3(X²+2XY-3Y²)/(X²-XY+Y²)分子、分母同时乘1/XY=(X/Y+2-3Y/X)

令3/x=4/y=6/z=1/k则x=3ky=4kz=6k(x²+y²+z²)/(xy+yz+xz)=(9k²+16k²+36k²)/(12

已知x/y=3那么(x²+2xy-3y²)/(x²-xy+y²)=[(x/y)²+2x/y-3]/[(x/y)²-x/y+1]=(3

y分之x=2分之1y=2x所以原原式=(x²-2x²-8x²)分之（x²＋4x²＋4x²）=-9分之9=-1

y’=[sinx/(1-x²)]'=[(sinx)'(1-x²)-sinx(1-x²)']/(1-x²)²=[cosx(1-x²)+2xsi