It is known that the side length of the base of a regular pyramid is 4cm and the side length is 2cm. The dihedral angle formed by the side and the base of a regular pyramid is obtained

It is known that the side length of the base of a regular pyramid is 4cm and the side length is 2cm. The dihedral angle formed by the side and the base of a regular pyramid is obtained

If the length of the side edge is 2 times the root 3, the height of the side triangle can be calculated as 2 times the root 2. Make a vertical line from the vertex to the bottom at a point, and connect this point with the height of the side triangle to the bottom. The distance between the top point and the vertical line from the bottom can be calculated as 2, which is an isosceles right triangle, that is, the dihedral angle between the side and the bottom is 45 degrees

Given that all the rhombic lengths of a Mitsubishi cone are equal, and the surface area is 4, root number 3, what is its volume?

The length of all edges of a triangular pyramid is equal. This is a regular tetrahedron (regular triangular pyramid). Base area = surface area / 4 = 4 √ 3 / 4 = √ 3. Base is an equilateral triangle. Area √ 3. Let edge length be a, then 1 / 2 * a * √ 3A / 2 = √ 3, a & # 178; = 4, a = 2, height = (√ 3A / 2) &# 178; - (√ 3A / 2 * 1 / 3) &# 178; = √ 6 / 3 * a = 2 √ 6 / 3, volume =

The zero degree of radical 13 × radical 2 ／ radical 13 ／ 3 radical 2 + (radical 2-1)

The zero degree of radical 13 × radical 2 ／ radical 13 ／ 3 radical 2 + (radical 2-1)
=[radical 13 ／ radical 13] × [radical 2 ／ 3, radical 2] + 1
=1×1/3＋1
=4/3

Log (2) 5 = a, log (2) 7 = B, denoted by AB, log (35) 28

log(35)28
=log2 28/log2 35
=(log2 4+log2 7)/(log2 5+log2 7)
=(2+b)/(a+b)

It is known that log (14) 7 = A and 14b = 5. Try a and B to represent log (35) 28
The base number is in brackets

Is 14 to the power B = 5?
(1)1=log(14)14=log(14)2+log(14)7
So log (14) 2 = 1-A
(2)35=5*7=14^(a+b)
(3)log(35)28=lg28/lg35=lg28/lg14^(a+b)=1/(a+b)*lg28/lg14=1/(a+b)*(1+log(14)2)
=(2-a)*(a+b)
Pay attention to the use of bottom changing formula

If log147 = A and log145 = B are known, a and B are used to represent log3528=______ ．

∵ log3528 = log1428log1435 = log14 (14 × 147) log145 + log147 = log14142 − log147log145 + log147 = 2 − log147log145 + log147 ∵ log147 = a, log145 = B ∵ original formula = 2 − AA + B, so the answer is: 2 − AA + B

If log (a) B = log (b) a (a ≠ B, a ≠ 1, B ≠ 1), then AB is equal to

AB = 1. There is a formula for changing bottom, which is changed into LNB / LNA = LNA / LNB. It is sorted out that (LNB LNA) (LNB + LNA) = 0. A ≠ B leads to LNA ≠ LNB, so LNB + LNA = 0. That is ln (AB) = 0. So AB = 1

Let a and B be positive numbers not equal to 1, and log (a) B + log (b) a = 5 / 2, find the value of (a ^ 3 + B ^ 3) / {AB + (a ^ 2) (b ^ 2)}

According to log (a) B = 1 / log (b) a, we can get log (a) B = 2. Therefore, B = a ^ 2. By substituting the formula into (a ^ 3 + B ^ 3) / {AB + (a ^ 2) (b ^ 2)}, we can calculate that = 1

Let a, B and C be positive numbers not equal to 1, and ab not equal to 1. Prove that a ^ (log c b) = B ^ (log C a)

LogC on both sides
(logca) (log c b) = (log c b) (log C a)

The graph of logarithm of X with base 2 is y = - log
Is the image of y = 1 / X consistent with that of y = - 1 / x
Are the images of y = - 1 / X odd and increasing functions

The graph of logarithm of X with base 2 is y = - log
The image of logarithm of X with base 2 of y = log is symmetric about y axis;
atypism;
The images of y = 1 / X and y = - 1 / X are symmetric about the Y axis;
The graph of y = - 1 / X is an odd function
It is not an increasing function (the definition of increasing function is that the greater x is, the greater y is. For y = - 1 / x, it is obvious that y when x = 1 is less than y when x = - 1)