angle of gradient

简明释义

1. 倾度角; 2. 坡度角; 3. 仰角; 4. 梯度角; 5. 倾角; 6. 倾斜角;

英英释义

例句

1.The architect designed the ramp with a gentle angle of gradient 坡度角 to ensure accessibility for wheelchair users.

建筑师设计了一个缓和的angle of gradient坡度角，以确保轮椅使用者的无障碍通行。

2.The road's angle of gradient 坡度角 is too steep for large trucks to navigate safely.

这条道路的angle of gradient坡度角对大型卡车来说太陡峭，无法安全通行。

3.The angle of gradient 坡度角 of the hill made it challenging for hikers to reach the summit.

山丘的angle of gradient坡度角使得徒步旅行者到达顶峰变得困难。

4.In the construction project, the engineers calculated the angle of gradient 坡度角 to optimize drainage.

在施工项目中，工程师计算了angle of gradient坡度角以优化排水。

5.To prevent erosion, the farmer adjusted the angle of gradient 坡度角 of the field.

为了防止侵蚀，农民调整了田地的angle of gradient坡度角。

作文

The concept of the angle of gradient is fundamental in various fields such as mathematics, physics, and engineering. It describes the steepness or incline of a line or surface, allowing us to understand how quickly something rises or falls over a certain distance. In mathematical terms, the angle of gradient can be defined using the tangent function, which relates the angle to the ratio of the vertical change (rise) to the horizontal change (run). This relationship is crucial for anyone working with slopes, whether they are building a road, designing a roof, or analyzing the trajectory of a projectile.To visualize the angle of gradient, imagine standing at the base of a hill. As you look up, the angle formed between the ground and the line extending from your position to the top of the hill represents the angle of gradient. A steeper hill will have a larger angle, indicating a more challenging ascent. Conversely, a gentle slope will have a smaller angle, making it easier to climb. This simple analogy helps to illustrate the importance of understanding the angle of gradient in real-world applications.In the field of civil engineering, the angle of gradient plays a critical role in road design. Engineers must calculate the appropriate slope for roads to ensure safety and efficiency. If the angle of gradient is too steep, vehicles may struggle to ascend or descend without losing control. On the other hand, if the slope is too gentle, it may not effectively drain water away from the road surface, leading to potential flooding and erosion. Therefore, finding the right balance in the angle of gradient is essential for creating safe and functional infrastructure.Moreover, in the realm of physics, the angle of gradient can influence the motion of objects. For instance, when studying the motion of a ball rolling down an inclined plane, the angle of gradient affects the acceleration of the ball. A greater angle results in a faster descent due to the increased gravitational component acting along the slope. Understanding this relationship is vital for predicting the behavior of objects in motion and can be applied in various scenarios, from sports to vehicle dynamics.In addition to practical applications, the angle of gradient also has theoretical significance. In calculus, the concept of the derivative is closely related to the angle of gradient. The derivative of a function at a given point represents the slope of the tangent line to the curve at that point. This slope can be interpreted as the angle of gradient, providing insights into the function's behavior and helping mathematicians solve complex problems.In conclusion, the angle of gradient is a multifaceted concept that extends beyond simple geometry. Its implications reach into various disciplines, influencing everything from engineering designs to the study of motion. By understanding the angle of gradient, we can better navigate the challenges associated with slopes and inclines, ultimately enhancing our ability to create efficient systems and solve real-world problems. Whether we are constructing a road, analyzing a sports performance, or exploring mathematical theories, the angle of gradient remains a vital aspect of our understanding of the world around us.

“坡度角”这个概念在数学、物理和工程等多个领域中都是基础。它描述了一条线或表面的陡峭程度，帮助我们理解某物在一定距离内上升或下降的速度。在数学术语中，“坡度角”可以通过正切函数来定义，该函数将角度与垂直变化（上升）与水平变化（跑步）的比率联系起来。这种关系对于任何与坡道打交道的人而言都是至关重要的，无论他们是在建造道路、设计屋顶，还是分析抛射物的轨迹。为了形象化“坡度角”，想象一下你站在一座山丘的底部。当你仰望时，从你的立足点到山顶之间形成的角度就代表了“坡度角”。陡峭的山丘会有更大的角度，表示更具挑战性的攀登。相反，缓坡的角度较小，使得爬升变得更容易。这个简单的类比有助于说明理解“坡度角”在现实应用中的重要性。在土木工程领域，“坡度角”在道路设计中发挥着关键作用。工程师必须计算出适当的坡度，以确保安全和效率。如果“坡度角”过陡，车辆可能会在上升或下降时失去控制。另一方面，如果坡度过缓，可能无法有效地排走路面上的水，导致潜在的洪水和侵蚀。因此，在“坡度角”中找到合适的平衡，对于创建安全和功能齐全的基础设施至关重要。此外，在物理学领域，“坡度角”也会影响物体的运动。例如，在研究球体沿倾斜平面滚动的运动时，“坡度角”会影响球体的加速度。更大的角度会导致更快的下滑，因为沿坡道的重力分量增加。理解这种关系对于预测运动物体的行为至关重要，并且可以应用于各种场景，从运动到车辆动力学。除了实际应用外，“坡度角”还具有理论意义。在微积分中，导数的概念与“坡度角”密切相关。函数在给定点的导数代表该点曲线的切线斜率。这个斜率可以解释为“坡度角”，提供对函数行为的洞察，帮助数学家解决复杂问题。总之，“坡度角”是一个多方面的概念，超越了简单的几何学。它的影响延伸到各个学科，影响从工程设计到运动研究的方方面面。通过理解“坡度角”，我们可以更好地应对与坡道和倾斜有关的挑战，最终提升我们创建高效系统和解决现实问题的能力。无论我们是在建造道路、分析运动表现，还是探索数学理论，“坡度角”始终是我们理解周围世界的重要方面。