Math problems will not do the process Thank you!

Actually, I just learned this, but I'm good at mathI took the first place in several examsKnowing that mathematics is good at the field, the rate is as high as 73%.Let me tell you

1) Since it is known to be an even function, it is enough to directly bring in the values (1 and -1). That is, f(-1) = f(1). I'm not going to make a bid, you'll have to figure it out. As a result, it wask = minus one-half

2) Because there are a lot of mathematical symbols involved, I can't type, so I found a paragraph on the Internet. It is reproduced as follows:

Because the function f(x) and the function g(x) image have only one intersection point.

So there is only one solution for f(x)=g(x)., i.e. f(x)-g(x)=0 has only one solution (personal note: whether this step is thought of or not is critical).

So log4(4 x+1)-1 2x-log4(a*2 x-4 3a)=0

That is, log4(4 x+1)-log4(a*2 x-4 3a)-1 2x=0

log4[(4 x+1) (a*2 x-4 3a)]=1 2x

Exponentially yields 4 (1 2x) = (4 x+1) (a*2 x-4 3a).

That is, 2 x = [2 (2x)+1] (a*2 x-4 3a) gives (a*2 x-4 3a)*2 x=2 (2x)+1

There is a solution for (a-1)* 2 x) 2 -4 3a*(2 x)-1=0.

When a=1 -4 3*(2 x)-1=0 gives 2 x=-3 4<0

Therefore a is not equal to 1

If 2 x is considered t, then (a-1)* 2 x) 2 -4 3a*(2 x)-1=0 becomes (a-1)* t 2 -4 3a*t-1=0 has a solution.

That is, b 2-4ac=0, then there is (-4 3a) 2+4(a-1)=0

4a 2 + 9 a - 9 = 0 solution a = -3 or a = 3 4

Therefore, the value range of the real number a is (personal note: are two definite values, not a range, don't read it wrong).

If you don't understand, please feel free to ask. Got it in time. (Bold privilege.) Five or more quality answers are required. It can tell if someone else is copying it! ）

I've just learned functions, and if you want me to figure out the Pythagorean theorem, I'm okay.

The subject is lazy, and he doesn't draw a single picture, which is an isosceles triangle, ab=ac

AE BC, C= Cae= DAE= B, AB=ACA is on the perpendicular bisector of BC, Outer O is also on the perpendicular bisector of BC, and AO is bisecting BC

ao bisects bac, om ab, on ac, and the perpendicular foot is dot m, n, so om=on

Please send the picture to take a look at it to answer.

Write around this, it's better to have you as my star rejoice.

I don't know what math problem you say first, otherwise you won't be able to solve it.

To produce a batch of parts bai, A can do 18 dus per hour, and B can do zhi alone to 12 hours to complete Now by A B.

When the two of DAO work together, when the task is completed, the ratio of the number of parts produced by A and B is 3:5, how many parts does A produce in total?

135 (pcs).

Does ab2 mean the square of ab?

1. If ab=AD, AB+DC=AD+BC DC=BC AB 2+AD 2=BC 2+DC2 AB=BC, the triangle ABC is an isosceles triangle, BAC= BCA

If ab=AD+BC-DC>AD BC>DC

1 solution: Let A and B be separated by xkm v passenger = 1 6x v cargo = 1 8x ( x -240) ( 1 6x) = 240 (1 8x) solution : x = 560 A:

A and B gather 560km2** Yes Chen Gang's thinking: everyone tells a truth and a lie, Yin Hua, no matter what he says, the conclusion is that "the prisoner can't be him", so the remaining two people are excluded, Chen Gang and Wang Chun have two situations: The prisoner is Wang Chun, then her first sentence is false, then the second sentence is true, "Chen Gang did not have Sun Fuhong to do this", so the three people are not**, so this situation is excluded The prisoner is Chen Gang, then Chen Gang's book is true, "Yin Hua did not do this either." "In line with the reasoning, Wang Chun's truth can only be:

I didn't do it"This situation was established, so the prisoner was Chen Gang.

1) For the same distance, 6 hours for passenger cars and 8 hours for trucks, so their speed ratio is 1 6:1 8, which is 4:3. When they meet, they take the same amount of time and have a distance ratio of 4:3.

Because the truck traveled 240 kilometers for 3 parts, the passenger car traveled 320,000 strips of chaotic rice, and the result came out, it was 560 kilometers. (2) Assuming that Chen Gang's previous stupid sentence is true, then Yin Hua did it, obviously, what Yin Hua said was not what he did is a lie, I don't know (I don't know what I did) is also a lie, which does not match the meaning of the accompanying topic, and is discarded. Then there is only one other situation, and what Chen Gang said is the truth, that is, he has done it.

So that's what Chen Gang did.

Solution: (1) Discuss in two situations:

1.Because the hyperbola has two branches, when k<0, the image of the two functions has two intersections;

2.When k > 0, y=-x+8 and y=kx are used to form a system of equations (find the intersection of images) to obtain a quadratic equation x 2-8x+k=0

Because there are two intersections, the discriminant formula >0, i.e.: 090°2When 0At

Combine the above two equations to obtain a quadratic equation of one element, x2-8x0,64-4k><16.The second small 90