y=2x² 4x-7 x² 2x 3 x∈[-1,2]

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y=2x² 4x-7 x² 2x 3 x∈[-1,2]
已知变量x,y满足约束条件x≥0y≥x3x+4y−12≤0

其平面区域如下图:目标函数z=2y+2x+1=2y+1x+1,可看成过阴影内的点(x,y)与点(-1,-1)的直线的斜率k的2倍,∵1≤k≤3+10+1=4,∴2≤z≤8.故答案为:[2,8].

如果对于任意非零有理数a,b定义运算X如下:aXb=ba-1,则(-4)X3X(-2)= ___ .

根据题意:(-4)X3=3-4-1=-74,然后再计算(-74)X(-2)=-2- 74-1=-2×(-47)-1=87-1=17.

y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10)的导数在x=1

设a=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)那么y=a*(x-10);那么y^=a^*(x-10)+a*(x-10)^=a^*(x-10)+a那么y

已知实数x.y满足根号(x+y-8)+根号(8-x-y)=根号(3x-y-4)+根号(x-2y+7),求x,y

根号(x+y-8)+根号(8-x-y)=根号(3x-y-4)+根号(x-2y+7),根据二次根式有意义得:X+Y-8≥0,8-X-Y≥0,∴X+Y≥8,X+Y≤8,∴X+Y=8,左边为0,右边两个非负

如果把分式2x3x-2y中的x,y都扩大3倍,那么分式的值(  )

分别用3x和3y去代换原分式中的x和y,得2(3x)3(3x)-2(3y)=6x9x-6y=3(2x)3(3x-2y)=2x3x-2y,可见新分式与原分式相等.故选B.

15-x=2x3x-7=x+1 X为何值时,代数式4x-5与3x-6的值互为相反数?当x为何值时,代数式3-4x与5+2

解方程(需要过程)15-x=2x15=2x+x15=3xx=53x-7=x+13x-x=1+72x=8x=4X为何值时,代数式4x-5与3x-6的值互为相反数?4x-5+3x-6=04x+3x=5+6

不等式组1.2x>1-xx+2<4x-12.x-5>1+2x3x+2<4x3.2/3x+5>1-xx-1<3/4x-1/

1.2x>1-x3x>1x>1/3x+2<4x-13x>3x>1大大取大x>12.x-5>1+2xx2x>2两个不能同时成立无解3.2/3x+5>1-x5/3x>-4x>-12/5x-1<3/4x-1

x−5>1+2x3x+2<4x

由不等式x-5>1+2x得:x<-6,由不等式3x+2<4x得:x>2,如下图:所以无解.

y=4x^2-5x+7/x-2(x>2),求y最值

y=(4x^2-5x+7)/(x-2)=4x+3+13/(x-2)=4(x-2)+13/(x-2)+11,因x>2,得y≥2√[4(x-2)*13/(x-2)]+11=11+4√13,等号在4(x-2

设函数f(x)=xx+2(x>0),观察:f1(x)=f(x)=xx+2,f2(x)=f(f1(x))=x3x+4,f3

观察:f1(x)=f(x)=xx+2,f2(x)=f(f1(x))=x3x+4,f3(x)=f(f2(x))=x7x+8,f4(x)=f(f3(x))=x15x+16…:  所给的

整式的加减 2x-10.3x3x-x-5x-b+0.6b-2.6b

=(2-10.3)X=-8.3X=(3-1-5)X=-3X=(-1+0.6-2.6)b=-3

(1)3x-15>07x-2x-2(3)5x-4≤2x+57+2x≤6+3x(4)1-2x>4-x3x-4>3

(1)3x-15>03x>15x>57x-2-2x>-2∴此不等式组的解为:x>5(2)3x-1≤x-23x-x≤-2+12x≤-1x≤-1/2-3x+4>x-2-3x-x>-2-4-4x>-6x4-

若分式方程x3x-7+a3-2x=1

把x=0代入分式方程x3x-7+a3-2x=1得a3=1,∴a=3.故答案为3.

解关于x的方程:axx+1−1=2x3x+3

去分母得,3ax-3(x+1)=2x,即(3a-5)x=3由3a-5≠0,解得:x=33a−5,检验:当x=33a−5时,3x+3=3(x+1)=3(3a−2)3a−5,∵3a-2≠0,∴3x+3≠0

已知函数f(x)=3x−2−x3x+2−x.

(1)∵f(x)=3x−2−x3x+2−x=2x•3x−12x•3x+1=6x−16x+1∴f(−x)=6−x−16−x+1=1−6x1+6x=−f(x),x∈R,则f(x)是奇函数.(2)f(x)=

{3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1

3(x+y)-4(x-y)=4(x+y)/2+(x-y)/6=1令a=x+y,b=x-y3a-4b=4(1)a/2+b/6=1则3a+b=6(2)(2)-(1)5b=2b=2/5a=(6-b)/3=2

已知4x=9y求(1)x+y/y (2)y-x/2x

4x=9yx=9/4*y(1)(x+y)/y=[(9/4)y+y]/y=(9/4+1)y/y=9/4+1=13/4(2)(y-x)/2x=[y-(9/4)y]/[2*(9/4)y]=(1-9/4)y/

若2x-3y+4=0则x(x*x-1)+x(5-x*x)-6y+7

x(x*x-1)+x(5-x*x)-6y+7=-x+5x-6y+7=2(2x-3y)+7=2*(-4)+7=-8+7=-1再问:能在写详一点吗-x+5x-6y+7再答:x(x*x-1)+x(5-x*x

解方程组(x+y)(x-2y)=-5 (x-y)(x+2y)=7

展开x^2-2y^2-xy=-5x^2-2y^2+xy=7所以x^2-2y^2=1xy=6上式除以下式,解分式方程x/y=3/2或-4/3(舍去)所以x^2=9y^2=4x=3y=2或x=-3y=-2