Mathematics first year problem, first year junior high school mathematics problem

Let x=a1+a2+.a2008+a2009.

p=(x-a2009)(x-a1)

q=x(x-a2009)

Because they are all positive, so.

p

This simple question offers a reward of 100 points? Take it for cheating, right?

Be careful to report it.

Answer: P because a1, a2 ...a2008 and a2009 are both positive numbers, and can be directly calculated like this:

p-q=(a1+a2+..a2008)(a2+a3+..a2009)-(a1+a2+..a2009)(a1+a2+..a2008)

a1+a2+..a2008)[(a2+a3+..a2009)-(a1+a2+..a2009)]

a1(a1+a2+..a2008)

So :p

Solution: Set (a2+..a2008) is b

then p=(a1+b)(b+a2009).

q=（a1+a2009+b）（a1+b）

Because a1, a2 ...a2008 and a2009 are both positive.

And because (a1+a2009+b) is greater than (b+a2009), (a1+a2009+b)(a1+b) is greater than (a1+b)(b+a2009).

That is, q is greater than p

Connecting ac ac parallel and equal to fd you know that the area of the triangle abc and the triangle adc can be found together, fd multiplied by db divided by 2 and their area is also half of the area of the whole hexagon.

1.For a rectangular piece of paper with an area of 1 m 2, cut half of it for the first time, cut off the remaining half for the second time, and so on, and the area of the remaining piece of paper after the 8th time is ( ) m 2?

One cut is one-half of the original.

Cutting twice is a quarter.

n times is the nth power of two.

So it's two-eighths of a square meter.

1) The whole class of 51 people participates in the 100-meter run test, and every group of 6 people is required, so how many groups should be divided into at least?

51 divided by 6 quotient 8 and 3

Divided into 9 groups. 2) A car needs to be equipped with 4 tires, how many cars can be equipped with 51 tires at most?

51 divided by 4 quotient 12 to the remainder of 3

Load twelve cars.

3) How long is a wooden stick and evenly cut into 6 sections, how many meters is each section long? (Accurate to the point that dividing by 6 equals about a meter.)

3.Fold a rectangular piece of paper with a thickness in half again and again (assuming this method is feasible) and ask how many times it needs to be folded in half, and the height of the stack is higher?

Rice is equal to 884813 centimeters.

884813 divided by equals.

Look at the number of times 2 square is greater than 98312555

Just these few times.

1.This kind of question set is 1*(1 2) n