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1 In the [ ] in equation 1-丨-2[ ]3丨, fill in the operation symbol (multiplication) so that the value of the equation is the smallest addition, subtraction, multiplication and division to choose one (write reason).

Substitution. 2 weeks on the number -5 and the distance between the two points is the reason (9).

5 minus -143If the square of (a-1) + 丨 b + 2 丨 = 0 then a plus b = (-1 ).

4.A rational number whose square is equal to itself is (0,1), and a rational number whose square is equal to itself is (0,1,-1).

5.If the sum of two non-zero rational numbers is 0, then their quotient is (-1)a 0. b.-1 c。+1 d Not sure.

6.If 丨a丨=-a, the following are true ( d ) greater than 0 less than 0 greater than 0 or a=0 less than 0 or a =0

1 In the [ ] in equation 1-丨-2[ ]3丨, fill in the operator symbol (+) so that the value of the equation is the smallest addition, subtraction, multiplication and division to choose one (write reason).

The absolute value is closest to 1 and the value is the smallest.

2 The distance between two points representing the number -5 and the number -14 on a number of weeks is (9)3If the square of (a-1) + 丨 b + 2 丨 = 0 then a plus b = ( -1 )4A rational number whose square is equal to itself is (0 or 1), and a rational number whose square is equal to itself is (-1, 0, or 1).

5.If the sum of two non-zero rational numbers is 0, then their quotient is ( b )a 0 . b.-1 c。+1 d Not sure.

6.If 丨a丨=-a, the following are true ( d ) greater than 0 less than 0 greater than 0 or a=0 less than 0 or a =0

9 a=1 b=-2 a+b=-1 plus or minus 1 and zero plus or minus 1 and zero b a

1) Multiplication, a total of four kinds of addition, subtraction, multiplication and division, can be calculated in turn.

2) 9, the absolute value of subtraction is the distance between two points on the number line.

3)-1, since the result of the operation of the sum of squares and absolute values must be greater than or equal to zero, therefore, if the sum is zero, the results of the absolute values of the sum of squares must be zero, a=1, b=-2

4) 0,1, solve the equation x 2=x, +1, -1, 0, solve the equation x 3=x.

5) b, a+b=0 to get a b=-1, or b a=-1.

6) d, the absolute value is greater than or equal to 0, so a is less than or equal to 0

Analysis: It is the use of the property theorem and the decision theorem of the angle bisector to prove that AP is the bisector of the outer angle of the bac! And bac=2 bpc is also provable! From BPC=40° and the bisector of the angle, ACD-2 ABC=2 40°=80°, that is, BAC=80°, then the outer angle of BAC is 100°, CAP= 100°=50°.

I can't figure out the corner apb.

∠a=80

Through P to AB, AC, BC as perpendicular lines, respectively cross the above line segments (or extension lines) in F, E, G, because bp is the angle bisector of B, so PE=PF, because CP is the outer angle bisector of C, so EP=GP. It is obtained: pg=pf=pe, in the right angle ape and the right angle apf, ep=fp, ap is the common edge, and the right angle ape and the right angle apf congruence (hl) can be obtained, so ap is the bisector of the outer angle of a.

pac=(180-80)/2=50

pbc+∠acb+∠cdb=∠bpc+∠pbc+∠bcp∠acb+∠cdb=∠bpc+∠bcp

180-40-∠pbc+∠cdb=40+180-40-∠pbc∠cdb=40

So b=180-80-40=60

apb=180-80-50-60/2=20

The angular APB cannot be solved, and the angular cap can be solved to 50°

1. Select B

2、（1）ag=16+8=24

Any two points distance = 24 6 = 4

4x4=16

So the point e of the origin is described.

The dot c means -16+2x4=-8

2) There are two possibilities when there is no graph, the first is that e has m,n in the middle, then m,n distance = 2 + 6 = 8

Second, if e is outside m,n, then there are 6 m,n distance=6-2=4(3), and if the point is e, then the position relationship between the 5 points and h and g is as follows:

h-e-g, h-g-e, e-h-g, e-g-h, g-e-h, g-h-e

1.The point on the number line that represents an integer is called an whole point. If a line with a length of 2007cm is drawn arbitrarily on this number line, the whole number of points covered by the line AB is (C) or 2006 or 2007 or 2008 or 2009

1) The point e represents the origin and the rational number represented by the point c is 8

2) There are two points m,n on the number axis, the distance from point m to point e is 2, and the distance from point n to point e is 6, then the distance between point m and n is (4 or 8).

3) The point h on the number line represents minus 2003, and the sum of the distances from the point of the integer to h and g is 2011, then there are 2012 such points.

6b 2-8b + 1 = 0, the left and right sides are divided by b 2 at the same time, i.e.

1 b 2-8 b+6=0, and a 2-8a+6=0, so a and 1 b are the two roots of the equation x 2-8x+6=0.

So there is a+1 b=8 and a b=6

That is, there is b a=1 6, so b+1 a=(a+1 b)*b a=4 3a+1 b)(b+1 a)=ab+1 (ab)+2=32 3, so ab+1 (ab)=32 3-2=26 3

This question is too skilled, and the upstairs is doing a good job.

Ask the math teacher yourself.

Why do I have the idea that this topic is a categorical discussion?

Yes or no"f(x)+2f（1/x)=x"

If yes, the answer is as follows:

f[x]+2f[1/x]=x...1) Exchange 1 x for one of the x:

f[1/x]+2f[x]=1/x

That is, 2f[1 x]+4f[x]=2 x....2) (2)-(1) De:

3f[x]=2/x-x

So: f[x]=2 3x-x 3