Mathematics problems in grade six of primary school As shown in the right figure, for a triangular cardboard, the ratio of two right angle sides AB and BC is 1:2, and ab is 6 cm long. If you rotate AB side as an axis for one circle, then the volume of the formed cone is () cubic cm

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• 1. 1. The construction workers need 4800 square bricks for paving the street square. If they use 80cm square bricks instead, how many are needed? 2. A train leaves Wuhan for Nanjing at 6:30 a.m. and runs 120 kilometers per hour. Can it arrive at 10:30 a.m. (the distance on the map is 2cm, and the scale is 1:9000000) 3. There are two containers. First fill the cone with radius of 5cm and height of 10cm with water, and then pour it into the cylinder with radius of 4cm and height of 10cm. What is the depth of water in the cylinder?
• 2. 1. A, B and c run the 100 meter race (assuming their speed remains the same). When a reaches the finish line, B is still 20 meters short, and C is 25 meters away. How many meters short is C when B reaches the finish line? 2. The walking speed ratio of Party A and Party B is 13:11. If Party A and Party B start from a and B at the same time and walk in opposite directions, they meet in two hours. If they walk in the same direction, how many hours will it take for Party A to catch up with Party B?
• 3. Given that a, B ∈ R and a ≠ 2, the function f (x) = LG1 + ax1 + 2x defined in the interval (- B, b) is odd. (1) find the analytic expression of function f (x) and the value range of B; (2) discuss the monotonicity of f (x)
• 4. 1. If f (x) = x ^ 2 + ax + 3, if x ∈ [- 2,2], f (x) ≥ a, find the range of A 2. For any x ∈ R, we know that f (x) + F (y) = f (x + y), and when x > 0, f (x) + F (y) = f (x + y), f（x）
• 5. Given the function f (x) = x2 + 2aX + 2, X ∈ [- 5,5] (1) when a = - 1, find the maximum value of the function; (2) find the value range of the real number a, so that y = f (x) is a monotone function in the interval [- 5,5]; (3) find the minimum value of y = f (x)
• 6. For any differentiable function f (x) on R, if (x-1) f ′ (x) ≥ 0, then () A. f（0）+f（2）＜2f（1）B. f（0）+f（2）≤2f（1）C. f（0）+f（2）≥2f（1）D. f（0）+f（2）＞2f（1）
• 7. Ask a math problem (about high school function), It is known that the function y = f (x) defined on R satisfies f (0) ≠ 0. When x > 0, f (x) > 1, and for any a, B ∈ R, f (a + b) = f (a) f (b) (1) Verification: F (0) = 1; (2) Proof: for any x ∈ R, f (x) > 0; (3) It is proved that f (x) is an increasing function on R
• 8. Mathematical problems of high school function If the function f (x) = (k-1) a ^ x-a ^ (- x) (a > 0 and a ≠ 1) is both odd and even on R, then the image of G (x) = loga (x + k) is A. Monotonically decreasing at (- 2, + ∞) B. Monotonically increasing at (- 2, + ∞) C. Monotonically decreasing at (2, + ∞) D. Monotonically increasing in (2, + ∞) The title must be right!
• 9. I'm in a hurry If f (x) is an odd function with a period of 5, and f (- 3) = 1, Tan @ = 2, then f (x) is an odd function with a period of 5（ 20sin@cos@ ）What is the value of? The monotone decreasing interval of function y = LG [radical 3-2sin (Π / 6 - 2x)] is?
• 10. It is composed of two three digit numbers 0123456789. The sum of these two numbers must be four digits. These 10 numbers must be used completely and cannot be repeated
• 11. In a 3-meter-long, 2-meter-wide and 2-meter-high cuboid pool, put a cylinder with a circumference of 314 square decimeters at the bottom. The water surface rises by 2 decimeters. What is the volume of the cylinder? The circumference of the surface of the cylindrical container is 12.56 cm. Put a conical plumb and submerge it completely. The water surface rises by 6 cm. What is the volume of the conical plumb? A cylindrical glass jar with a bottom diameter of 20 cm. Put a cone with a bottom radius of 8 cm into the water completely, and the water surface rises by 3 cm. Calculate the volume of the cone A cylindrical cup with a bottom radius of 10 cm is filled with water. A conical plumb with a bottom radius of 5 cm is immersed in the water. When the plumb is taken out of the cup, the water surface of the cup drops by 5 cm. How high is the plumb? In a cylindrical container with a bottom area of 20 square centimeters, put a 546 gram starch iron block into it, and the water surface rises by 3.5 cm. What is the ratio of mass to volume of this iron block? Wait until two o'clock
• 12. 1. 2.5 times of a number is 45 times more than itself. What's the number? 2. There are 55 chickens in two cages. If one ninth of them is taken out of cage a and one seventh of them is taken out of cage B, the remaining chickens in the two cages are exactly the same? 3. There is a glass of sugar water, the weight ratio of sugar and water is 2:9, then add 4G sugar, the weight of sugar water is 92g 4. Solving equation 2、2/5×1/2-1/10x=1/6 Two fifths times one half minus one tenth times x = one sixth (*: not comprehensive)
• 13. 1. When someone bought an article, he paid the salesperson 50 yuan. The salesperson misjudged the decimal point of the price of the article and gave him 46.75 yuan. He said that he found too much. How much is the price of the article? If you add the divisor, divisor, quotient sum and the remainder, the sum is 43, the divisor is (), and the divisor is ()
• 14. 1.6/1 hour = () minutes 2.6.08 cubic meters = () cubic meters () cubic decimeters 3. A cylinder and a cone are of equal height and equal base. The sum of their volumes is 48 cubic centimeters, and the volume of this cone is () cubic centimeters 4. The side area of the cylinder is fixed, and the radius of the bottom is in direct proportion to () 5 ratio: 4.2:3 5cm: 30m Simplification ratio: 192:645.25:356/1:9/1 15 / 8:25 / 12 3T: 150kg Solution equation: 1.5x + 24 = 89 9 / 2 × 3 + 4x = 12 / 11 14 / 3x + 21 / 13X = 28 / 15 To find the ratio, simplify the ratio and solve the equation,
• 15. The classroom is paved with 1800 tiles, 40 cm long, 20 cm wide and 1 cm thick. How many square meters is the area of the classroom
• 16. If the average of a set of data x1, X2, X3,... Xn is 5, then the average of data 3x1 + 5, 3x2 + 5, 3x3 + 5,... 3XN + 5 is 5
• 17. The circumference of a rectangular piece of paper is 80cm, and the ratio of length to width is 5:3. If you cut it into the largest square piece of paper, what is the area of the square piece of paper?
• 18. Data x1, X2 The mean of XN is x, the variance is S & # 178, then 2x1 + 3,2x2 + 3 2xn + 3 mean and variance the 2x + 3,4s & # 178 I chose; Did I choose the right question for the final exam today? Don't beat me up
• 19. Put a circular scissors together to form an approximate rectangle. The length of the rectangle is 6.28 decimeters. What is the area of the circle? What is the perimeter? Big brother“ Beautiful women? Brother is OK
• 20. 2(sinx)^2-sinxcosx-(cosx)^2=1 X solution set is required