1, the number of ladder skill formulas usually refers to the problem of climbing ladders, specifically how to climb from the foundation, only one ladder at a time, and finally reach the target position. Observing the rule and arrangement of ladders, we can find that the height of each ladder is increasing, and the increasing height is 1.
You can count the number of ladders by counting. For example, if the target position is on the nth ladder, then we need to climb n- 1 ladders to reach the target position. The coordinate method can also solve the counting problem of trapezoidal numbers. Imagine each ladder as a point on the X axis, arranged from left to right.
3. If you want to remember the counting method of trapezoid, you can use the following formula. The first ladder is not difficult to walk, and the last ladder is the hardest to walk. The ladder in the middle is not counted, but the figures on both sides add up. This formula means that in the process of climbing ladders, the first ladder and the last ladder are the most difficult, while the middle ladder is not counted. Just add up the numbers on both sides to get the total number of ladders.
Practical application of trapezoid
1. In the field of architecture, trapezoid is widely used. For example, in bridge design, trapezoidal structure can provide good supporting force and effectively prevent stress concentration. In addition, the trapezoidal roof shape can ensure smooth water flow and avoid water accumulation on the roof. Trapezoids also play a key role in the detailed design of buildings, such as decorative lines and doorframes.
2. In mechanical engineering, trapezoid has many applications. For example, trapezoidal gear is one of the commonly used gears in mechanical transmission because of its high transmission efficiency and long service life. In addition, trapezoid is also used in the design of various tools and machines, such as screwdrivers, wrenches and machine tools.
3. In the field of mathematics, trapezoid also plays an important role. For example, in geometry, the properties of trapezoid are used to solve various problems. In addition, the area calculation formula of trapezoid is also one of the basic knowledge of mathematics. In calculus, trapezoidal rule is used for numerical integration.