Y=x3与x=y3在第一象限围成的面积-搜答案-智慧作业帮

x=log2(y)则X1+2X2+3X3=log2(y1)+2log2(y2)+3log2(y3)=log2(y1)+log2(y2^2)+log2(y3^3)=log2(y1y2^2y3^3)=1所

k=-2＜0在每个象限,y随x的增大而增大∵x1>0>x2>x3,∴y2＞y3＞0＞y1选B.y2＞y3＞y1再问：k＜0，不是y随x的增大而减小吗再答：反比例函数y=-2/x，在每个象限，y随x的增

C.根据图像在二、四象限可得到

y3>y1>y2画出坐标系中的图像,就能看出

x3+y3=100(x+y)(x^2-xy+y^2)=100因x+y=1所以x^2-xy+y^2=100(x+y)^2-3xy=1001-3xy=100xy=-33x^2+y^2=(x+y)^2-2x

将A(3,4)带入y=k/x得到4=k/3,k=12所以反比例函数是y=12/x因为OA⊥APk1*k2=-14/3*4/(3-p)=16/(9-3p)=-1,p=25/3

x3+y3-x2y-xy2=(x+y)(x2-xy+y2)-xy(x+y)=（x+y)(x2-2xy+y2）=（x+y)（x2+2xy+y2-4xy）=（x+y）[(x+y)2-4xy]=10×（10

∵x+y=1，∴x3+y3+3xy=（x+y）（x2-xy+y2）+3xy=x2+y2+2xy=（x+y）2=1．

∵代数式x3+y3+3x2y+axy2含有因式x-y，∴当x=y时，x3+y3+3x2y+axy2=0，∴令x=y，即x3+x3+3x3+ax3=0，则有5+a=0，解得a=-5．将a=-5代入x3+

x3+y3=（x+y）（x2-xy+y2），∴x2-xy+y2=10，∵x+y=10，∴x2+2xy+y2=100，∴2xy=100-（x2+y2），把xy=x2+y2-10，代入得：100-（x2+

24

y^2=x^3-3x^2+2xx^2=y^3-3y^2+2y两式相减得：y^2-x^2=(x^3-y^3)-3(x^2-y^2)+2(x-y)(x-y)(x^2+xy+y^2-2x-2y+2)=0所以

(x+y)³=x³+y³+3x²y+3xy².记忆方法：各立方,然后3x方y,3xy方(x+y)³=x³-y³-3x&#

(x+y)^3=X^3+3X^2Y+3XY^2+Y^3x^2y+xy^2=303x^2y+3xy^2=90x^3+Y^3=35

x^3+y^3+x^3y^3=12,x^3+y^3+x^3y^3+1=13,（x^3+1)(y^3+1)=13(x+1)(x^2-x+1)(y+1)(y^2-y+1)=13;x+y+xy=0,x+y+

x^3+y^3=(x+y)(x^2-xy+y^2)=10(x^2+y^2-xy)=100x^2+y^2-xy=10(1)x+y=10平方x^2+2xy+y^2=100(2)(1)*2+(2)2x^2+

x+y=1(x+y)^2=x^2+2xy+y^2=1(x+y)^3=x^3+y^3+3xy(x+y)=1而x^3+y^3=1/3,代入得：3xy=2/3xy=2/9由于x=1-y;故代入xy=2/9;

A-B=(x3+2y3-xy2)-(﹣y3+x3+2xy2)=x³+2y³-xy²+y³-x³-2xy²=3y³-3xy²

x3+3xy-y3=(x-y)(x^2+y^2+xy)+3xy=-x^2-y^2+2xy=-(x-y)^2=-1