已知圆x²+y²-2x-3=0与坐标轴相交
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(2x+y)/(x^2-2xy+y^2)X(x-y)=(2x+y)/(x-y)²*(x-y)=(2x+y)/(x-y)x-3y=0,x=3y(2x+y)/(x-y)=(6y+y)/(3y-y
2x-3y=0(1)3x-y-1=0(2)由(2)得y=3x-1(3)把y=3x-1代入(1)得2x-9x+3=0∴x=3/7把x=3/7代入(3)得y=2/7∴x=3/7y=2/7
75=(2x+3y)(3x+2y) =6x^2+13xy+6y^2 =6(x+y)^2+xy>=24xy+xy=25xyxy<=3x+y>=2vxy=2v3最小值2v3再问:6(x+y)^2+xy
解题思路:根据非负数的行政列出方程求出x,y的值即可求出x²的值解题过程:
4x-2y=0→y=2x,把所有的y都用2x替代.结果是-1/7
设p(x1,y1),Q(x2,y2)因为OP⊥OQ所以x1*x2+y1*y2=0x²+y²+x-6y+m=0x+2y-3=0消去yx1,x2就是所得方程的解用韦达定理就可以了会了吗
x-y-3绝对值+(2x+2y+10)的平方=0X-Y-3=0X-Y=32X+2Y+10=0X+Y=-5(x+y)(x-Y)=3X(-5)=-15
x=3y再答:带入再答:3.5
X+Y分之X-Y等于3x=-2yX+Y分之2(x-y)减X+Y分之3X+Y=(-x-3y)/(x+y)=1
2x=2-3yx>0则2x>0所以2-3y>0y
你直接把Y=2X带进式子里面去啊.
解题思路:对于这种等式一定可以化成平方相加的形式,这里面要使用到完全平方公式。解题过程:
因为(x-y)/(x+y)=3,则(x+y)/(x-y)=1/3则5(x-y)(x+y)-(x+y)/2(x-y)=5*3-1/(3*2)=15-1/6=89/6
3x^2+xy-2y^2=0推出(3x-2y)(x+y)=0推出x=-y或x=(2/3)y{(x+y)/(x-y)+4xy/(y^2-x^2)}/{(x+3y)*(x-y)}/x^2-9y^2推出:{
2x+y/x^2-2xy+y^2)*(x-y)=2x+y/(x-y)^2*(x-y)=2x+y/x-yx-3y=0.x=3y将x=3y带入2x+y/x-y=6y+y/3y-y=7/2(二分之七)
已知圆x^2+y^2+x-6y+m=0与直线x+2y-3=0相交于P、Q两点,O为坐标原点,若OP垂直于OQ,试求m的值.圆的方程x²+y²+x-6y+m=0可化为:(x+1/2)
x=3y代入(2x+y)/(x^2-2xy+y^2)*(x-y)=7y/(9y^2-6y^2+y^2)*(2y)=7/2
x-3y=0x=3y原式=(2x+y)(x-y)/(x²-2xy+y²)=(2×3y+y)(3y-y)/[(3y)²-2×3y×y+y²]=7y×2y/(9y&
2x+y+3=xy,①若x=1,则y不存在,此时5x+4y无最值;②若x≠1,则y=(2x+3)/(x-1),M=5x+4y=5x+(8x+12)/(x-1)=(5x²+3x+12)/(x-
∵x^2-3y^2=2xy∴x^2-2xy-3y^2=0∴(x+y)(x-3y)=0∵x>0,y>0∴x-3y=0∴x=3y∴x+2y/x-y=3y+2y/3y-y=2y+2/3或=2/3(x+1)如