Solve 4 questions, solve 4 questions?

Answer: x 2-mlnx-x 2+x=x-mlnx 0(x>1), x mlnx, m x lnx, let g(x)=x lnx,g'(x)=

lnx-x*1 x) (lnx) 2=(lnx-1) (lnx) 2, take g'(x)=0, the solution gives lnx=1, x=e, because g(x) decreases monotonically on x (1,e) and increases monotonically on x (e,+, so the minimum value is obtained at x=e, gmin(x)=g(e)=e, so there is m e;

k(x)=-2lnx+x-a=0, let the two zeros be x1 1, x2 3, a=-2lnx1+x1=-2lnx2+x2;

Let g(x1)=-2lnx1+x1,y(x2)=-2lnx2+x2,g'(x1)=-2 x1+1,(x1 1),g(x1) g(2)=-2ln2+2;

y'(x2)=-2 x2+1,(x2 3),y(x2) y(3)=-2ln3+3;

So there is -2ln2+2 a -2ln3+3

f'(x)=2x-m/x,h'(x) = 2x-1, take f'(x)=0, m=2x 2; x= m2, take h'(x)=0, we get x=1 2, to satisfy that f(x) and h(x) have the same monotonicity on the commonly defined domain, m2=1 2, so m=1 2

f(x) is the first derivative f'(x)=-2*(2x^2 - tx -2)/(x^2 + 1)^2

f'The denominator of (x) is everstable at 0, and the part where the numerator is positive is exactly [ ,

So f'(x) in the interval [ , Shangheng is 0

So f(x) increases monotonically on the interval [ , .

So a=f( )=(4 -t) ( 2 +1), b=f( )=(4 -t) ( 2 +1).

g(t)=a-b=[4αβ(4(α-t(α-/(α^2β^2+α^2+β^2+1)

Since , are the two roots of the equation, + =t 2, *=-1

=-sqrt(α^2 + 2 -2αβ)=-sqrt[(α2-4αβ]=-[sqrt(t^2+16)]/2

Bring in g(t) = sqrt(t2 +16).

And because the equation has two real roots, delt=t 2 +16 Evergrande is 0

So when the minimum value of g(t) is t=0, g(0)=4

3000 30 = 100 yuan (the average daily sale of the banquet money) with a loss, and then the Rabbit chaos melon is 2 pieces a kilogram, 100 pieces 2 pieces a kilogram = 50kg per day.

2 yuan per kilogram, a total of 3,000 yuan, first ask how many thousand limbs are sold, and then how much is sold every day.

3000 2 1500 kg.

1500 30 50 kg.

50 kg. On average, 50 kilograms are sold per day.

f(x)=x²-4x+1

Axis of symmetry x=2

f(x) is monotonic on [a,a+1], meaning that the axis of symmetry x=2 is not inside [a,a+1], but outside.

So, a 2 i.e. [a,a+1] is in a single increase interval or a+1 2 i.e. [a,a+1] is in a single subtraction interval.

Outcome A2 or A1

Just put together one (flat corner); (180 degrees).

Just form one (flat corner); (180 degrees).

The ratio of the area of the square to the area of the circle is 4: pie, 8 4 3, 14 3 4