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2x>x2>log2x x2>2x>log2x 2x>log2x>x2 x2>log2x>2x
△x1+[(△x1-△x2)/(x2-x1)](x-x1) △x1-[(△x2-△x1)/(x2-x1)](x-x1) △x1+[(△x2-△x1)/(x2-x1)](x-x1) △x1+[(△x2-△x1)/(x2-x1)](x1-x)
(x+2)(x-2)=x2-4 x2-4=(x+2)(x-2) x2-4+3x=(x+2)(x-2)+3x x2+4=(x+2)2
={x|x2﹣2x﹣3<0}, ={x||x|<2}则A.∩B.=( ) A.{x|﹣2<x<2}B.{x|﹣2<x<3} {x|﹣1<x<3} {x|﹣1<x<2}
x2 + 2x -1=(x - 1)2 - x2 +(-2)2 =(x - 2)(x + 2) x3- 4x = x(x + 2)(x - 2) (x + 1)2 = x2 + 2x + 1
={x∈R|-2={x∈R|x<2},则A.∪(∁RB.)=( ) A.{x|x<6} B.{x|-2{x|x>-2} {x|2≤x<6}
-x2+(-2)2=(x-2)(x+2) x2+2x-1=(x-1)2 4x2-4x+1=(2x-1)2 x2-4x=x(x+2)(x-2)
f(x)=x2+2x+1 f(x)=x2﹣2x+1 f(x)=x2+2x﹣1 f(x)=x2﹣2x﹣1
2x-2 -2x2+6x-2 2x 2x2-6x+2
x2﹣2x﹣1=(x﹣1)2 2x2﹣2=2(x+1)(x﹣1) x2y﹣xy=y(x2﹣x) x2﹣2x+2=(x﹣1)2+1
2x2﹣2=2(x+1)(x﹣1) x2+2x﹣1=(x﹣1)2 x2+1=(x+1)2 x2﹣x+2=x(x﹣1)+2
若x≠2,则x2﹣3x+2≠0 若x2﹣3x+2=0,则x=2 若x2﹣3x+2≠0,则x≠2 若x≠2,则x2﹣3x+2=0
(x+2)(x﹣2)=x2﹣4 x2﹣4=(x+2)(x﹣2) x2﹣4+3x=(x+2)(x﹣2)+3x x2+4x﹣2=x(x+4)﹣2
y′=2xcos 2x-x2sin 2x y′=2xcos 2x-2x2sin 2x y′=x2cos 2x-2xsin 2x y′=2xcos 2x+2x2sin 2x
f(x﹣1)=2x+2(0≤x≤2) f(x﹣1)=﹣2x+1(2≤x≤4) f(x﹣1)=2x﹣2(0≤x≤2) f(x﹣1)=2x﹣1(2≤x≤4)
f(x-1)=2x+2(0≤x≤2) f(x-1)=2x-1(2≤x≤4) f(x-1)=2x-2(0≤x≤2) f(x-1)=-2x+1(2≤x≤4)
-x2+(-2)2=(x-2)(x+2) x2+2x-1=(x-1) 4x2-4x+1=(2x-1)2 x2-4x=x(x+2)(x-2)
(x-1)(x-2)=x2-3x+2 x2-3x+2=(x-1)(x-2) x2+4x+4=x(x一4)+4 x2+y2=(x+y)(x―y)
)2xn(x2+2-3x)=2xn(x-1)(x-2) ( )2xn-2(x2-3x+2)=2xn-2(x-1)(x-2) ( )2xn-2(x4+2x2-3)=2xn-2(x2+3)(x2-1)=2xn-2(x2+3)(x+1)(x-1) ( )2xn-2(x4-2x2+3)=2xn-2 (x2+3)(x2+1)
{x|x≥2} {x|x≤2} {x|0≤x≤2} {x|x≤0或x≥2}