.|x-2y-3|+|2x-y+4|=0则x=y=
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.|x-2y-3|+|2x-y+4|=0则x=y=
.|x-2y-3|+|2x-y+4|=0则x=y=
.|x-2y-3|+|2x-y+4|=0则x=y=
|x-2y-3|+|2x-y+4|=0
x-2y-3=0 (1)
2x-y+4=0 (2)
联立方程组 解得:
x= -11/3 y= -10/3
分段讨论
x-2y-3和2x-y+4同时小于0,大于0,以及一个大于0一个小于0的情况
分成三段,然后去掉绝对值
就可以算出来了
A:x-y+2≥0→2x-2y+4≥0 B:x+y-4≥0→2x+2y-8≥0 C:2x-y总上:3≤Y≤9 所以3X+2Y最大为3×7+2×9=39
.|x-2y-3|+|2x-y+4|=0
则有
.|x-2y-3|=0 ①
|2x-y+4|=0 ②
有①可得
x-2y-3=0 ③
有②可得
2x-y+4=0 ④
由2×④-③得
3x+11=0
x=-11/3
∴y=-2×11/3+4=-10/3
(x-y) (x-2y)+(x+2y) (x-3y)-2(x-3y) (x-4y)=
{4x-3y-10=0 3x-2y=0,{3x-4(x-y)=2 2x-3y=1,{2(x+y)-(x-y)=3 (x+y)-2(x-y)=1
x*x+2x+y*y-4y+5=0 x= y=
2(x+y)-3(x-y)=3 ,4(x+y)+3(x-y)=15
3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2
(x+y)/2- x-y/2=6 3(x+y)=4(x-y)
x+y/3+x-y/2=6 4(x+y)-2(x-y)=40
{3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1
x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20
{(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20
4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6
3(x+y)-2(x-y)=11 4(x+y)+3(x-y)=9
4(x-y)-3(x-y)=9 5(x-y)+2(x-y)=11
3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27
{x+y=1 ,xy=-6{x(2x-3)=0,y=x²-1{(3x+4y-3)(3x+4y+3)=0,3x+2y=5{(x-y+2)(x+y)=0,x²+y²=8{(x+y)((x+y-1)=0,(x-y)(x-y-1)=0
x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2
x^2+4y^2-6x+4y+10=0,求x^4-y^4/(x+2y)(x-2y)*x+2y/xy^2+y^3除以(x^2+y^2/y)^2的值
先化简再求值(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y) x=4 y=5