foot of perpendicular

简明释义

垂足

英英释义

例句

1.The distance from the point to the line is measured as the length of the segment from the point to the foot of perpendicular 垂线的脚 on the line.

从该点到直线的距离被测量为从该点到直线上的foot of perpendicular 垂线的脚的线段长度。

2.The architect calculated the foot of perpendicular 垂线的脚 to ensure the building's walls were straight.

建筑师计算了foot of perpendicular 垂线的脚以确保建筑物的墙壁是直的。

3.In geometry, the foot of perpendicular 垂线的脚 is crucial for constructing right angles.

在几何学中，foot of perpendicular 垂线的脚对于构造直角至关重要。

4.To determine the shortest distance between the two parallel lines, we need to drop a foot of perpendicular 垂线的脚 from one line to the other.

为了确定两条平行线之间的最短距离，我们需要从一条线落下一个foot of perpendicular 垂线的脚到另一条线。

5.To find the area of the triangle, we need the height, which is the length from the vertex to the foot of perpendicular 垂线的脚 on the base.

要计算三角形的面积，我们需要高度，即从顶点到基底上foot of perpendicular 垂线的脚的长度。

作文

In the study of geometry, understanding various terms and concepts is crucial for solving problems effectively. One such term is the foot of perpendicular, which plays a significant role in the context of triangles and other geometric figures. The foot of perpendicular refers to the point where a perpendicular line meets another line or surface at a right angle. This concept is essential when dealing with right triangles, as it helps in determining the height of the triangle relative to its base.To illustrate the importance of the foot of perpendicular, let us consider a right triangle ABC, where angle C is the right angle. If we drop a perpendicular from point A to line BC, the intersection point will be called D. In this case, point D is the foot of perpendicular from point A to line BC. Understanding this relationship is crucial, especially when applying the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.Moreover, the concept of the foot of perpendicular is not limited to triangles alone. It can also be applied to various geometric figures, including rectangles, squares, and even circles. For example, if we have a rectangle and we want to find the distance from a point outside the rectangle to one of its sides, we would draw a perpendicular line from that point to the side. The intersection point where this line meets the side of the rectangle is again referred to as the foot of perpendicular.In practical applications, the foot of perpendicular is used in fields such as architecture, engineering, and computer graphics. Architects often need to calculate heights and distances accurately, and the foot of perpendicular provides a reliable method for doing so. Similarly, engineers use this concept to ensure structural integrity in their designs by calculating forces acting on different components. In computer graphics, the foot of perpendicular can help in rendering shadows and determining the perspective of objects in a scene.Understanding the foot of perpendicular also enhances our problem-solving skills. When faced with complex geometric problems, recognizing the significance of perpendicular lines and their intersection points can simplify calculations and lead to more accurate results. By mastering this concept, students and professionals alike can improve their ability to tackle a variety of mathematical challenges.In conclusion, the foot of perpendicular is a fundamental concept in geometry that serves as a building block for more advanced topics. Whether in theoretical mathematics or practical applications, grasping the idea of the foot of perpendicular enables individuals to approach problems with confidence and clarity. As we continue to explore the world of geometry, let us remember the importance of this term and its relevance in our daily lives. By doing so, we can appreciate the beauty of mathematics and its applicability in various fields, ultimately enhancing our understanding of the world around us.

在几何学的研究中，理解各种术语和概念对于有效解决问题至关重要。其中一个术语是垂线的脚，它在三角形和其他几何图形的背景下发挥着重要作用。垂线的脚指的是一条垂线与另一条线或表面以直角相交的点。当处理直角三角形时，这个概念是必不可少的，因为它有助于确定三角形相对于其底边的高度。为了说明垂线的脚的重要性，让我们考虑一个直角三角形ABC，其中角C是直角。如果我们从点A向BC线段投影一条垂线，交点将称为D。在这种情况下，点D就是从点A到线BC的垂线的脚。理解这种关系至关重要，尤其是在应用毕达哥拉斯定理时，该定理指出，在直角三角形中，斜边的平方等于其他两条边的平方之和。此外，垂线的脚的概念不仅限于三角形。它也可以应用于各种几何图形，包括矩形、正方形甚至圆。例如，如果我们有一个矩形，并且想要找到一个位于矩形外部的点到其某一边的距离，我们会从该点向矩形的一侧绘制一条垂线。这条线与矩形边相交的点再次被称为垂线的脚。在实际应用中，垂线的脚被广泛用于建筑、工程和计算机图形学等领域。建筑师常常需要准确计算高度和距离，而垂线的脚提供了一种可靠的方法。同样，工程师使用这一概念来确保设计的结构完整性，通过计算作用在不同组件上的力。在计算机图形学中，垂线的脚可以帮助渲染阴影和确定场景中物体的透视。理解垂线的脚还增强了我们的解决问题的能力。当面对复杂的几何问题时，识别垂直线及其交点的重要性可以简化计算并导致更准确的结果。通过掌握这一概念，学生和专业人士都可以提高他们应对各种数学挑战的能力。总之，垂线的脚是几何学中的一个基本概念，是更高级主题的基石。无论是在理论数学还是实际应用中，掌握垂线的脚的概念使个人能够自信而清晰地处理问题。随着我们继续探索几何学的世界，让我们记住这个术语的重要性及其在日常生活中的相关性。通过这样做，我们可以欣赏数学的美丽及其在各个领域的适用性，最终增强我们对周围世界的理解。