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x2 y2 6x 2y 10

(1)15x3y5次方(y-x)3分之12x2y(x-y)4次方 =12x2y(y-x)^4/15x3y^5(y-x)3 =4x^(-1)y^(-4)(y-x)/5 (2)4x2-4分之1-2x+x2 =(x-1)2/4(x+1)(x-1) =(x-1)/4(x+1) (3)x2+10x-24分之2x2-2x-4 =2(x2-x-2)/(x2+10x-24) =2(x-2)(x+1)/(x-2)(x+10) =2(x+1)/(x+...

由x2+y2+6x?2y+10?|x?y+3|=0,得(x+3)2+(y?1)2=|x?y+3|,即(x+3)2+(y?1)2=2?|x?y+3|2.∴动点(x,y)到(-3,1)的距离与它到直线x-y+3=0的距离的比为2.∴圆锥曲线x2+y2+6x?2y+10?|x?y+3|=0是双曲线,离心率为2.故答案为:2.

clear;clc x=-10:0.5:10; y=-10:0.5:10; [X,Y]=meshgrid(x,y); Z=X.^2+6*X.*Y+Y.^2+6*X+2*Y-1; mesh(X,Y,Z)

圆x²+y²-10x-10y=0 ==> (x²-10x+25)+(y²-10y+25)=50 ==> (x-5)²+(y-5)²=50 即,圆心O1(5,5),半径为5√2 元x²+y²-6x+2y-40=0 ==> (x²-6x+9)+(y²+2y+1)=50 ==> (x-3)²+(y+1)²=50 即...

①x2y2-5x2y-6x2 =x2(y2-5y-6)=x2(y-6)(y+1);②(p2+q2)2-4p2q2=(p2+q2+2pq)(p2+q2-2pq)=(p+q)2(p-q)2;③(a-b)4-3(a-b)2-10=[(a-b)2-5][(a-b)2+2]; ④x2-y2+4y-4=x2-(y2-4y+4)=x2-(y-2)2=(x+y-2)(x-y+2).

联立方程,可得x2+y2?10x?10y=0x2+y2+6x+2y?40=0,解得x=?2y=6或x=4y=?2,∴两个圆的交点是A(-2,6),B(4,-2),∴|AB|=(4+2)2+(?2?6)2=10.

z的法向量:(-2x,-2y,-1)平行于平面法向量(6,2,3),得p点(1,1/3,-1/9)再用距离公式d=1/3

因为3x² + 2y² = 6x,所以y² = 3x - 3x²/2 x² + y² = x² + 3x - 3x²/2 = -x²/2 + 3x =-1/2 * (x - 3)² + 9/2 由公式可知x² + y²对称轴为x = 3,且开口向下的抛物线 则当x = 3时,x...

∵两圆为x2+y2-10x-10y=0①,x2+y2-6x+2y-40=0②②-①可得:4x+12y-40=0即x+3y-10=0∴两圆的公共弦所在直线的方程是x+3y-10=0故答案为:x+3y-10=0

两圆x2+y2-10x-10y=0,x2+y2+6x-2y-40=0的标准方程为别为(x-5)2+(y-5)2=50,(x+3)2+(y-1)2=50,故两个圆的圆心分别为A(5,5)、B(-3,1);半径分别为50、50.把两个圆的方程相减可得公共线所在的直线方程为 2x+y-5=0,圆心A到公共弦...

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