Let m = {x | 0 ＜ x ＜ 1}, if a, B ∈ m, compare AB + 1 with a + B

Let m = {x | 0 ＜ x ＜ 1}, if a, B ∈ m, compare AB + 1 with a + B

ab 1-（a b）
=a（b-1）-b-1
=a（b-1）-（b-1）
=（a-1）（b-1）
Because a < 1, B < 1, the above formula is positive, so AB 1 > a B

If M > n > 0, a > 0, and a is not equal to 1, compare the size of a Λ m + a Λ - M and a Λ n + a Λ - n

A-B = a ^ M-A ^ n + 1 / A ^ M-1 / A ^ n general = (a ^ 2m * a ^ n-a ^ m * a ^ 2m + A ^ n-a ^ m) / A ^ m * a ^ n obviously denominator a ^ m * a ^ n > 0 numerator = a ^ 2m * a ^ n-a ^ m * a ^ 2m + A ^ n-a ^ m = a ^ m * a ^ n (a ^ M-A ^ n) - (a ^ M-A ^ n) = (a ^ M-A ^ n) (a ^ m * a ^ n-1) if 0A ^ 0 = 1, similarly a ^ n > 1, so a ^ m * a ^ n > 1, a ^ m * a ^ n-1 >

Let 2 / 3 of the bottom of the logo

The process is as follows
Consider the logarithm function y = loga base x, because the base a satisfies: 0

17°36′+12°52′ 103°15′-76°42′ 7.3°+12°52′

17°36′+12°52′
=29°88′
=30°28′
103°15′-76°42′
=102°75′-76°42′
=26°33′
7.3°+12°52′
=7°18′+12°52′
=19°70′
=20°10′

What is the largest even number within 100? What is the largest odd number?

Within 100, the maximum even number is 98, the maximum odd number is 99, the maximum composite number is 99, and the maximum prime number is 97

Calculation (50 / 1-1) (49 / 1-1) (48 / 1-1)... (4 / 1-1) (3 / 1-1) (2 / 1-1)

(you beat it backwards, 1 / 50 should be 1 / 50, and so on) the original formula = (- 49 / 50) × (- 48 / 49) × (- 47 / 48) ×. × (- 1 / 2) = - 49 / 50 × 48 / 49 × 47 / 48 ×. × 2 / 3 × 1 / 2 (because there are 49 negative numbers multiplied, the product is negative) = - (49 × 48 ×. × 2 × 1) / (50 × 49 ×. × 3 × 2) = - 1 / 50 (because of other

The simple calculation is 0.25 × 32 × 12.5

0.25×32×12.5=0.25×4×8×12.5=(0.25×4)×(8×12.5)=1×100=100

Find all the methods about the sequence, such as summation, split term elimination I'll get extra points with an example

1. Formula method: sum formula of arithmetic sequence: SN = n (a1 + an) / 2 = Na1 + n (n-1) d / 2 sum formula of arithmetic sequence: SN = Na1 (q = 1) Sn = A1 (1-Q ^ n) / (1-Q) = (A1 an × q) / (1-Q) (Q ≠ 1) other 1 + 2 ^ 2 + 3 ^ 2 + 4 ^ 2 +. + n ^ 2 = n (n + 1) (2n + 1) / 6 1 + 2 ^

If the monotone increasing interval of function f (x) = | 2x + a | is [3, + ∞), then a=______ ．

∵ function f (x) = | 2x + a | is symmetric with respect to the straight line x = − A2, the monotone increasing interval is [3, + ∞), ∵ A2 = 3 ∵ a = - 6, so the answer is: - 6

What is the greatest common factor of 18 and 54______ The least common multiple is______ ．

54 △ 18 = 3, that is, 54 and 18 are multiple relations, so their greatest common factor is 18, and their least common multiple is 54; so the answer is: 18, 54