The length of the rectangle is 2xcm, the width is 4cm, the length of the trapezoid is xcm, the length of the bottom is 3 times of the length of the top, and the height is 5cm? How much bigger?

The length of the rectangle is 2xcm, the width is 4cm, the length of the trapezoid is xcm, the length of the bottom is 3 times of the length of the top, and the height is 5cm? How much bigger?


Rectangle area: 2x × 4 = 8xcm2, trapezoid area: 0.5 × (x + 3x) × 5 = 10xcm2, ∵ length: 2xcm, ∵ 10x > 8x, ∵ trapezoid area: 2xcm2, ∵ 10x-8x = 2xcm2, ∵ 2xcm2



For a trapezoid with a certain area, the length of the upper bottom is 13 times that of the lower bottom. Let the length of the upper bottom be xcm and the height be YCM, and when x = 5cm and y = 6cm, (1) find the functional relationship between Y and X; (2) find out the length of the lower bottom when y = 4cm?


(1) ∵ x = 5cm, y = 6cm, the length of the upper sole is 13 times that of the lower sole, the length of the lower sole is 15cm, the area of the trapezoid = 12 × (5 + 15) × 6 = 60, the height of the trapezoid = 2, the area of the trapezoid, the upper sole + the lower sole, y = 120x + 3x = 30x; (2) when y = 4cm, x = 7.5, 3x = 22.5



Why does the current in a metal conductor move in the opposite direction to the actual movement of free electrons?


Electric current is the opposite direction of the direction of the electron's directional movement. However, due to early mistakes in people's understanding, it was determined according to the law from positive to negative in nature. When we knew the truth, we did not change this law. The main reason is that this law conforms to the positive logic. If we use the direction of the electron flow, it becomes the negative logic



In a metal conductor, free electrons move in the opposite direction of the current


When an electron is negatively charged, the direction of current is a defined direction. The movement direction of negative and positive charge is opposite. The direction of current is defined as the direction of directional movement of positive charge. Because the free electron of metal conductor is negatively charged, the direction of actual directional movement of free electron of metal conductor is opposite to that of current