已知圆:x^2 y^2-2x-6y-15＝0-搜答案-智慧作业帮

x^2+y^2-6x-8y+25=0x^2-6x+9+y^2-8y+16=0(x-3)^2+(y-4)^2=0∴x=3且y=4y/x-x/y=4/3-3/4=7/12

x^2+y^2+4x-6y+13=(x+2)^2+(y-3)^2=0所以x=-2y=3所以x^y=-8

x^2+y^2-6x-8y+25=0[x-3]^2+[y-4]^2=0x-3=0===>x=3y-4=0===>y=4y/x-x/y=4/3-3/4=7/12

答：x^2+y^2

x^2-y^2=(x-y)(x+y)=5×6=30

2x+y=6x+2y=9相加得3x+3y=15x+y=5相减得2x+y-x-2y=6-9x-y=-3

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

在坐标系中先作2x+5y≥10对应的直线2x+5y=10,取直线上方区域；然后作2x-3y≥-6对应的直线2x-3y=-6,把y的系数变为正,可知取直线下方区域；最后作2x+y≤10对应的直线2x+y

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

x²-2x+y²+6y+10=0x²-2x+1+y²+6y+9=0(x-1)²+(y+3)²=0x-1=0y+3=0∴x=1y=-3∴x+y

x^2+2x+y^2-6y+10=0（x+1)²+（y-3)²=0∴x=-1,y=3(x+y)²=（-1+3）²=4

x^2+y^2-6x-4y+12=0（x-3）^2+(y-2)^2=1圆心为（3,2）,半径为1所以,范围就是根号内3平方加2平方的和加/减1就是（根号13-1,根号13+1）

（x+y)（x-y)-y^2+（x-y)^2-（6x^2y-2xy^2)÷2y=（x+y)（x-y)-y^2+（x-y)^2-2y（3x^2-xy)÷2y=（x+y)（x-y)-y^2+（x-y)^2

x^2+y^2-6x-2y+10=0x^2-6x+9+y^2-2y+1=0(x-3)^2+(y-1)^2=0x=3,y=1(x+y)/(x-y)=4/2=2

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)

6-x+y-（y-x)²　　=6-(x-y)-(x-y)²　　=6-2-2²　　=0学习愉快!

x^2+y^2-6x+8y+25=0x²-6x+9+y²+8y+16=0(x-3)²+(y+4)²=0x-3=0x=3y+4=0y=-4y^x=-4³

x^2-2x+y^2+6y+10=0(x-1)^2+(y+3)^2=0x=1y=-3(x-y)/(x+y)=4/(-2)=-2

x-2y=3则：x=2y+3代入原式,原式=(4y+6+y-6)/(6y+9-y-9)=5y/5y=1

解方程X=（6+M）/3Y=2M/3-2因为x>0y-6m