Congcong wants to cut a rectangle with a length of 24cm and a width of 18cm into several small squares of the same size with the side length of the whole centimeter and no surplus? How many can be cut into the largest square? (answer both)

Congcong wants to cut a rectangle with a length of 24cm and a width of 18cm into several small squares of the same size with the side length of the whole centimeter and no surplus? How many can be cut into the largest square? (answer both)


four
The purpose of this problem is to find the common divisor of 24 and 18,
The common divisors of 24 and 18 are 1, 2, 3 and 6
So there are four kinds of scissors



Can the surface area of a cube be represented by the letter 6A2


You should have written 6A ^ 2~
If it has been stated in the question that the side length of a cube is a, then its surface area can be expressed as 6A ^ 2~~~



If the number a is divided by the number B, the quotient is 3 and the remainder is 5. If the number a is 4 times larger, the quotient is 14 and there is no remainder, what is the number a


The number B is 5 × 4 (14-3 × 4) = 10
The number of a is 10 × 3 + 5 = 35



As shown in the figure, it is known that the bottom radius of the cone is 10cm, and the generatrix length OA = 40cm. The center angle and side area of the cone side expansion are calculated, and the result retains π
If a bug starts from point a and crawls around the side of the cone to the midpoint B of bus OA, what is the shortest distance for the bug to crawl


① Side area = 10 × 40 π = 400 π (CM)
② Center angle of circle = (2 × 10 π / 2 × 40 π) × 360 = 90 (# 186;)
③ Please draw a picture to determine the position of O, a and B



How to calculate a given function f (x) = log2 (AX + b), f (2) = 2, f (3) = 3,
It's better to write in detail


f(2)=log2(2a+b)=2
f(3)=log2(3a+b)=3
By definition
loga(b)=c
A ^ C (C power of a) = b
2 ^ 2 (the square of 2) = 2A + B 1
2 ^ 3 (the third power of 2) = 3A + B 2
Formula 2 minus Formula 1
a=8-4=4
b=-4



Finding the solution set of a high school inequality with absolute value
The absolute value of 2x + 1 / 5 is more than 1 / 3,
The question is
|1 / 2x + 2 | > 1 / 3.
x> - 10 / 3 or 1 / 2x + 2


|2X+1/5|>1/3
2X + 1 / 5 > 1 / 3 or 2x + 1 / 52 / 15 or 2x1 / 15 or X1 / 3
1 / 2x + 2 > 1 / 3 or 1 / 2x + 2-5 / 3 or 1 / 2x-10 / 3 or X



A math problem: the circumference of rectangle is 12cm, what is the area of semicircle?
The length of a rectangle is as long as the diameter of a circle


Length: width of rectangle = 2:1
So the length of a rectangle is 4cm, the width is 2cm, and the radius of a circle is 2cm
Area = π * 2 * 2 / 2 = 6.28 square centimeter



If the ratio B / A and D / C of the two ratios are reciprocal to each other, what proportion can the four numbers of ABCD form?


The ratio B / A and D / C are reciprocal
B/A*D/C=1
BD=AC
The proportion is as follows:
B:A=C:D
B:C=A:D
A:B=D:C
C:B=D:A



The first problem: (1) the tangent coefficient of the quintic monomial with the letters x, y, Z is - 1 (2) the cubic polynomial with the letters a, B
The second problem: polynomial (A-4) x & # 179; - X's power B + X-B is the opposite number about the quadratic trinomial of X to find the difference between a and B
The third problem: given the square of (a-half) + | a + B + 3 | = 0, find the value of the algebraic formula: (- A & # 178; + 3AB minus the square of half b) - (- 2A & # 178; + 4AB - the square of half b)
The fourth question: the calculation method of the cost of checked baggage is: if the total weight of checked baggage does not exceed 30 kg, 1 yuan will be charged per kg, and 1.5 yuan will be charged per kg for the excess part. If M is a positive integer, M = 45 is the cost of checked baggage
The fifth problem: it is known that (absolute value of K minus one) the square of X + (k-1) x + 3 = 0 is to find the value of K by the linear equation of one variable about X
The sixth problem: if the square of M of (m-2) x minus 3 = 5 is a linear equation with one variable, then the value of M is
Or the teacher will kill me tomorrow!


The first problem: (1) the tangent coefficient of the quintic monomial with the letters x, y, Z is - 1: - x ^ 2Y ^ 2Z; (2) the cubic polynomial with the letters a, B: A ^ 2B + a. the second problem: the polynomial (A-4) x & # 179; - the B power of X + X-B is the quadratic trinomial of X, finding the opposite number of the difference between a and B, A-4 = 0, B = 2. A = 4, B = 2



It is known that the perimeter of the sector is 40cm. When its radius and central angle are taken, the area of the sector can be maximized? What is the maximum area?


Let the radius and arc length of the sector be r and l, respectively. From the meaning of the title, we can get 2R + L = 40, s = 12lr = 14 · L · 2R ≤ 14 (L + 2r2) 2 = 100. If and only if l = 2R = 20, i.e. L = 20, r = 10, we take the equal sign, then the center angle of the circle is α = LR = 2, when the radius is 10, the center angle of the circle is 2, the area product of the sector is the largest, and the maximum value is 100