When an object moves in translation or rotation, its (), () do not change? 3Q

Size, shape

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1. The coordinates of three vertices in the parallelogram ABCD are a (- 3,4); B (- 2,1); C (1,6) to find the coordinates of D?
2. A conical sand pile has a bottom area of 16 square meters and a height of 2.4 meters. If each cubic meter of sand weighs 1.7 tons, how many tons does this pile of sand weigh?
3. A conical sand pile, the bottom area is 10 square meters, 2 meters, each cubic meter of sand weighs about 1.7 tons. How many tons of sand does this pile have?
4. The height of the two cylinders is equal. The bottom area of the first cylinder is two-thirds of that of the second cylinder. The volume of the second cylinder is 60 cubic meters What is the volume of a cylinder in cubic meters
5. The side area of a cylinder is 942cm2, its volume is 2355cm3, and its bottom area is______ cm2．
6. In a corner of the warehouse, there is a pile of corn in a quarter cone shape. It is known that the arc length of the bottom is 6 meters and the height of the cone is 1.5 meters. If the weight of each cubic meter is 785 kg, how many kg does the pile of corn weigh? (keep the whole number)
7. In a corner of the warehouse, there is a pile of corn in a quarter cone shape. The arc length of the bottom is known to be 4 meters, and the height of the cone is 1.5 meters. If the corn weight per cubic meter is 785 How many kilos does this pile of corn weigh
8. In a corner of the warehouse, there is a pile of corn, which is 1 / 4 cone-shaped. The arc length of the bottom is known to be 4 meters, the height of the cone is 1.5 meters, and the volume is cubic meters
9. In a corner of the warehouse, there is a pile of corn in a quarter cone shape. The arc length of the bottom is known to be 3.14 meters, and the height of the cone is 1.5 meters. If the weight of each cubic meter is 785 kg, how many kg does the pile of corn weigh
10. A conical sand pile has a bottom area of 120 square meters and a height of 4.5 meters. What is the volume of this conical sand pile?
11. If the line segments a and B are known, draw a line segment to make it equal to a-2b Figure, complete Just process
12. To solve the problem, it's best to use arithmetic, or one variable equation The ratio of truck speed and car speed is 3:8. The two cars start from a and B at the same time and run in opposite directions. They meet in three eighths of an hour. If the two cars start from a and B at the same time and run in the same direction, the truck speed is in the front and the car is in the back. Then the car needs () hours to catch up with the truck How to solve the problem
13. On a map with a scale of 1:2000000, the distance between a and B is 7.5cm. On another map, the scale is 1: What is the distance between the two cities on the 5000000 map?
14. Two practical problems in seventh grade mathematics (about the complete square formula) 1. Given x + y = 4, (1) find the value of a ^ 2 + 1 / A ^ 2. (2) find the value of (A-2) (1 / A + 2) 2. Given x + y = 4, x ^ 2 + y ^ 2 = 14, find the value of XY 1. Given A-1 / a = 4, (1) find the value of a ^ 2 + 1 / A ^ 2. (2) find the value of (A-2) (1 / A + 2)
15. Imaginative composition Must have content: air, blue sky, smoke, people, birds to imagine
16. It is known that △ ABC ∽ a ′ B ′ C ', the difference of their perimeter is 20, and the area ratio is 4:1. The perimeter of △ ABC and △ a ′ B ′ C' can be calculated
17. Trapezoid, the bottom is 2 times the bottom, the bottom extended 8 cm, the area is 48 square centimeter parallelogram, trapezoid area is how many square centimeter On this issue, it will be handed in before Monday,
18. It is known that p-abc, PA ⊥ plane ABC, ab ⊥ AC, ab = AC = 4, AP = 5. (1) calculate the size of dihedral angle p-bc-a (the result is expressed by the value of anti trigonometric function). (2) rotate △ PAB (and its interior) around the line where PA is located to form a geometry, and calculate the volume V of the geometry
19. If we know that the sum of the two right sides of a right triangle is equal to 8 and what are the two right sides, what is the maximum area of the right triangle? This is a function problem. Let's set X
20. Find the coordinates of the intersection of the image and the x-axis of the function y = 5x ^ 2-4x-1