1. Tear a piece of paper into four small pieces for the first time, and then prick one of them into four smaller pieces each time. If we go on like this, can we tear the film into 2007 pieces according to this tearing method? Why? 2. 128 soldiers were arrested. The enemy ordered them to form a circle and number 1.2.3.4.128. The enemy killed No. 1 and No. 3 first. They killed one by one. They killed one by one in this way. At last, there was one person left, Joseph. What's the number of Joseph? 3. There are three good friends. One is three years older than the other. The product of their ages is 1620. What is the sum of their ages?

1. Tear a piece of paper into four small pieces for the first time, and then prick one of them into four smaller pieces each time. If we go on like this, can we tear the film into 2007 pieces according to this tearing method? Why? 2. 128 soldiers were arrested. The enemy ordered them to form a circle and number 1.2.3.4.128. The enemy killed No. 1 and No. 3 first. They killed one by one. They killed one by one in this way. At last, there was one person left, Joseph. What's the number of Joseph? 3. There are three good friends. One is three years older than the other. The product of their ages is 1620. What is the sum of their ages?

1. Can't. ∵ 4 ^ n (n > 0 and integer) ≠ 2007
two point one two eight
three point three six

Several math problems, urgent! Quick answer plus 10 reward
1. It is known that there are 200 exercise books in store a and store B. one day, store a sells 29 exercise books and store B sells 87 exercise books. As a result, the number of exercise books left in the two stores is equal, then store a has () exercise books and store B has () exercise books
2. In order to protect the environment, Xiao Ming, a member of the environmental protection group of a school, collected waste batteries. On the first day, he collected 6 batteries No.1 and 8 batteries No.5, with a total weight of 700g. On the second day, he collected 4 batteries No.1 and 7 batteries No.5, with a total weight of 500g. How many grams of batteries No.1 and No.5 each?
If No.1 battery weighs () g and No.5 battery weighs () g each, the equation group () can be listed and the ()
3. A handling group needs to move 144 tons of goods on the truck within the limited time. If two workers are added, the task will be completed in exactly 12 hours; if four workers are reduced, the task will be delayed for 10 hours. Then there are () workers in the group, and the Limited time is () hours

1.(71)(129)
2.(X)(Y)
6X+8Y=700 X=90
4X+7Y=500 Y=20

A few mathematical problems, on the speed of solution, seek knowledge
In triangle A.B.C, A.B.C is the opposite side of angle a.b.c. it is known that A.B.C is an equal ratio sequence, and a ^ 2-B ^ 2 = AC BC
1. Find the degree of angle A,
2, find the value of bsinb / 2
2. There is a point P (- 1.2) in the circle x ^ 2, y ^ 2, and ab is the Xuan passing through the point P with an inclination angle of A,
1. When a = 3 / 4, find the length of Xuan ab,
2. When the Xuan AB is bisected by the point P, it is the equation for finding the straight line ab
3. It is known that the circle centered on point C (T, 2 / T) (t belongs to R, t is not equal to 0) intersects with the x-axis at O. a, and intersects with the y-axis at O, B. where o is the origin,
1. Calculate the area of the triangle,
2. Let the line y = - 2x 4 intersect the circle C at the point m, N. if om = on, find the equation of circle C

[1].
From a ^ 2-B ^ 2 = AC BC
We get (a-b) (a + B-C) = 0
Because a + b > C, A-B = 0
And B ^ 2 = AC, so C = a = B
1.A=60°
2.bsinB/a = sqrt(3)/2
[2].
1.AB:x+y-1=0
O to ab: D = sqrt (2) / 2
AB = 2sqrt( r^2-d^2)