A is a rational number which is not equal to 0. Try to compare the size of a with 1 / a (hint: discuss the classification of a)

A is a rational number which is not equal to 0. Try to compare the size of a with 1 / a (hint: discuss the classification of a)

a

If a represents a rational number, then 1 / A is called a rational number_____ (a is not equal to 0)

The reciprocal of a

a. B is a rational number, and a 〈 B 〈 0, try to compare the size of a + B, B-A, A-B, - a-b

Both a and B are negative
A+B〈0
B-A〉0
A-B〈0
-A-B〉0

A is greater than 0, B is greater than, and ab is not equal. Please explore the size relationship between 1 / A and 1 / B, and verify your conclusion with specific rational numbers

If a > b > 0, then 1 / a2,1 / 3

(1) 2, - 4,6, - 8,10, - 12,14, - 16, you can say the 99th number in (1), the 100th number, the 2014 number, and the 2015 number

The 99th number: 198 the 100th number: - 200 the 2014 number: - 4028 the 2015 number: 4030

It is known that BD and CE are the two heights of triangle ABC respectively, and the perpendicular feet are D and e respectively. Connecting D and E, it is proved that the triangle ade is similar to triangle ABC

Proof: CE ⊥ AB, BD ⊥ AC
∴∠BEC=∠BDC=90
The four point common circle of BEDC
∴AE*AB=AD*AC
∴AE/AD=AC/AB
∴△ADE≈△ABC

Given a > b > C, prove: a + B + B + C + C a > A + B + B + C + C a
Where is the space

This is because a > b > C, (a-b) > 0, (B-C) > 01. When B ≥ 0, when A-T ≥ 0, a-t-178; (a-b) < B \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\aand B

In trapezoidal ABCD, AD / / BC, O is the intersection of diagonal lines, the area of triangle AOD is 8, and the upper bottom is 2 / 3 of the length of the lower bottom, then the sum of the area of triangle AOB and COD is

24. According to the comparison between AOD and BOC, the area of BOC is 18, while the height of triangle BCD is 5 / 3 of the height of triangle BOC, and their bottom BC is the same, so the area of triangle BCD is 18 × 5 / 3 = 30, the area of triangle cod is 12, the area of triangle ACD is 20, and the area of triangle abd and ACD is equal, so the area of triangle abd is 20, so the area of triangle AOB is 12, and the sum of the two is 24

If x satisfies lgx + lgx2 + +Lgxn = N2 + N, then x=______ ．

∵ x satisfies lgx + lgx2 + +lgxn=n2+n∴（1+2+… +n) So the answer is 100

There are seven bamboo poles in a row. The first one is one meter long, and the other one is half the length of the former one. Q: how many meters is the total length of these seven bamboo poles? (thinking time: 60 seconds)

The total length of the seven bamboo poles is s = 1 + 1 × (12) 1 + 1 × (12) 2 + 1 × (12) 3 + 1 × (12) 4 + 1 × (12) 5 + 1 × (12) 6, = 1 × [1 − (12) 7] 1 − 12, = 2 - (12) 6, = 16364m