Interesting math story short

Interesting math story short


Tang Monk and his disciples picked peaches one day, Tang Monk ordered his disciples Wukong, Bajie and Shaseng to go to Huaguo Mountain to pick some peaches. Not long after they finished picking peaches, they came back happily. Master Tang asked: how many peaches did each of you pick back? Bajie said with a simple smile: master, I'll test you. We each picked as many peaches as I did in my basket



Interesting math story


The fox is limping along, wondering how to make a fortune. The lame fox sees the old goat selling green onions and goes to ask, "old goat, how to sell green onions? How many green onions are there?" the old goat says, "1 kilogram of green onions costs 1 yuan, 100 kilogram in total."



The perimeter of a piece of square paper is 16 decimeters. Cut it into the largest circle. The area of the cut part is______ Square centimeter


16 decimeter = 160 cm, 160 △ 4 = 40 (CM), 3.14 × (40 △ 2) 2 = 3.14 × 400 = 1256 (square cm), 40 × 40-1256 = 1600-1256 = 344 (square cm). Answer: the area of the cut part is 344 square cm



It is known that n is a positive integer, a-2b = - 1. Find the 2n power of 3 (a-2b) + 2n minus 1 power of 2 (2b-a) - 2n plus 1 power of 2 (a-2b)


Original form
=3*(-1)^(2n)+2*[-(-1)]^(2n-1)-2*(-1)^(2n+1)
=3*1+2*1-2*(-1)
=3+2+2
=7



1、 Fill in the blanks
1. The base angle of an isosceles triangle is 40 degrees, and its apex angle is () degrees
2. A line segment connecting the center of a circle and any point of () is called ()
3. In an equal circle, all the diameters are (), all the radii are ()
2、 Choice
1. The following is the degree of two internal angles of a triangle, where the one with acute angle is ()
A.21°,69° B.35°,55° C.48°,72°
2. In an isosceles triangle, if a base angle is 65 degrees, then the vertex angle is ()
A.60° B.120° C.50°


Some of the questions are not from grade six, are they from grade four~
1、 Fill in the blanks
1. The base angle of an isosceles triangle is 40 ° and its apex angle is (100)
2. A line segment connecting the center of a circle and any point is called radius
3. In an equal circle, all diameters and radii are equal
2、 Choice
1. The following are the two internal angle degrees of a triangle, where (c) is an acute triangle
A.21°,69° B.35°,55° C.48°,72°
2. In an isosceles triangle, if a base angle is 65 degrees, then the vertex angle is (c)
A.60° B.120° C.50°



The expanded view of a cylinder is two circles and a square, and its surface area is 16 pie + 32 pie ^ 2. Find the base radius R (the result retains the root sign)


2 * faction * R ^ 2 + (2 * faction * r) ^ 2 = 16 faction + 32 faction ^ 2
r^2=8
R = 2, 2



How long does it take for the sun to shine on the earth?


The sun is 150 million kilometers away from the earth, and the speed of light is 300000 kilometers per second. 150 million / 300000 = 500
500 seconds, that is 8 minutes



A physics calculation problem, about power, by the way, tell me how to calculate the resistance
1. The total mass of a truck with goods is m = 4.5 × 10 & # 179; kg. Under the traction force of F = 4.0 × 10 & # 179; N, the truck moves in a straight line at a constant speed on a straight road and has driven 900m in 1min
(1) The gravity of the truck and the goods;
(2) The resistance of the truck;
(3) The amount of work done by traction


1,G=mg=4.5*103kg*10N/kg=4.5*104N
2. F resistance = f traction = 4.0 * 103n
3. V = s / T = 900m / 60s = 15m / S
P = f traction * V object = 4.0 * 103n * 15m / S = 6 * 104w



The perimeter difference between the two squares is 16 cm, and the area difference is 96 square cm. How many cm are the sides of the two squares?


Side length difference 16 △ 4 = 4
Let X be the side length of a small square
(x+4)^2-x^2=96
8x+16=96
8x=96-16
8x=80
x=10
Answer the big 14 and the small 10



How to calculate the law of distribution by multiplication


Multiplicative distributive law
If two numbers are added and multiplied by another number, it is equal to multiplying the number by two addends respectively, and then adding the two products, and the result remains unchanged