base angle

简明释义

底角;

英英释义

An angle formed between the base of a geometric figure, such as a triangle or trapezoid, and one of its sides.

在几何图形中,如三角形或梯形,基底与其一侧之间形成的角。

例句

1.In geometry, the sum of the base angles 底角 in an isosceles triangle is equal to the other angle.

在几何中,等腰三角形的两个底角之和等于另一个角。

2.The base angle 底角 in this construction will help determine the slope of the roof.

这个建筑中的底角将帮助确定屋顶的坡度。

3.When designing a ramp, the base angle 底角 affects the ease of use for individuals with mobility issues.

在设计坡道时,底角会影响行动不便人士的使用便利性。

4.In a right triangle, the two angles adjacent to the right angle are called the base angles 底角.

在直角三角形中,靠近直角的两个角被称为底角

5.To find the area of an isosceles triangle, you need to know the lengths of the sides and the base angle 底角.

要计算等腰三角形的面积,你需要知道边的长度和底角

作文

In the realm of geometry, certain terms hold significant importance in understanding the properties and relationships of shapes. One such term is the base angle, which refers to the angles formed at the base of a geometric figure, particularly in triangles and trapezoids. Understanding base angles is crucial for solving various mathematical problems related to these figures.To illustrate the concept, let's consider an isosceles triangle. An isosceles triangle has two sides that are of equal length, and the angles opposite those sides are known as the base angles. These angles are congruent, meaning they have the same measure. This property is fundamental when calculating unknown angles in geometric problems. For instance, if one of the base angles measures 40 degrees, the other base angle must also measure 40 degrees, allowing us to determine the measure of the vertex angle by using the fact that the sum of all angles in a triangle equals 180 degrees.Moreover, the concept of base angles extends beyond triangles. In trapezoids, the base angles are the angles adjacent to the bases of the trapezoid. When dealing with isosceles trapezoids, where the non-parallel sides are of equal length, the base angles are also congruent. This property helps in determining the overall shape and area of the trapezoid. For example, if we know the measures of the base angles in an isosceles trapezoid, we can use them to calculate the height and subsequently the area of the trapezoid.The significance of base angles is not limited to theoretical mathematics; it also plays a crucial role in practical applications such as architecture and engineering. Architects often rely on the principles of geometry, including the understanding of base angles, to design structures that are both aesthetically pleasing and structurally sound. For instance, when designing a roof, architects must consider the base angles to ensure proper drainage and stability. Similarly, engineers utilize these concepts when constructing bridges or buildings, ensuring that the angles provide the necessary support and balance.Furthermore, in the field of trigonometry, base angles are essential for solving problems involving right triangles. The relationships between the angles and sides of triangles form the foundation of trigonometric functions. By knowing the measures of the base angles, we can apply sine, cosine, and tangent ratios to find unknown side lengths or angles, making base angles a vital component in various calculations.In conclusion, the term base angle encompasses a fundamental aspect of geometry that is pivotal to understanding the properties of shapes, solving mathematical problems, and applying these concepts in real-world scenarios. Whether in the study of triangles, trapezoids, or practical applications in architecture and engineering, base angles serve as a cornerstone for further exploration in the world of mathematics. Mastering this concept not only enhances one’s mathematical skills but also provides a deeper appreciation for the beauty and intricacies of geometric figures.

在几何学领域,某些术语在理解形状的属性和关系时具有重要意义。其中一个术语是底角,它指的是在几何图形的底部形成的角,特别是在三角形和梯形中。理解底角对于解决与这些图形相关的各种数学问题至关重要。为了说明这个概念,让我们考虑一个等腰三角形。等腰三角形有两条边长度相等,且与这些边相对的角被称为底角。这些角是全等的,意味着它们的度数相同。这一性质在计算几何问题中的未知角时是基础。例如,如果一个底角的度数为40度,那么另一个底角也必须为40度,这样我们就可以利用三角形内角和为180度的事实来确定顶角的度数。此外,底角的概念不仅限于三角形。在梯形中,底角是与梯形底边相邻的角。当处理等腰梯形时,非平行边长度相等,底角也是全等的。这一性质有助于确定梯形的整体形状和面积。例如,如果我们知道一个等腰梯形中的底角的度数,我们可以利用这些信息计算高度,从而进一步计算梯形的面积。底角的重要性不仅限于理论数学;它在建筑和工程等实际应用中也发挥着至关重要的作用。建筑师常常依赖几何原理,包括对底角的理解,来设计既美观又结构稳固的建筑。例如,在设计屋顶时,建筑师必须考虑底角以确保适当的排水和稳定性。同样,工程师在建造桥梁或建筑物时也会利用这些概念,确保角度提供必要的支撑和平衡。此外,在三角学领域,底角对于解决涉及直角三角形的问题至关重要。三角形的角和边之间的关系构成了三角函数的基础。通过了解底角的度数,我们可以应用正弦、余弦和正切比率来找到未知的边长或角度,使得底角成为各种计算中的重要组成部分。总之,术语底角涵盖了几何学的一个基本方面,对于理解形状的属性、解决数学问题以及在现实世界场景中应用这些概念至关重要。无论是在研究三角形、梯形,还是在建筑和工程中的实际应用,底角都是进一步探索数学世界的基石。掌握这一概念不仅增强了个人的数学技能,还提供了对几何图形之美和复杂性的更深层次的欣赏。

相关单词

angle

angle详解:怎么读、什么意思、用法