pattern

数学和逻辑SAT - Geometry

在这里,你将学习一些与几何相关的英语单词,如“弧度”、“抛物线”、“渐近线”等,这些单词是你通过SAT考试所需要的。

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SAT Vocabulary for Math and Logic
slope
[名词]

the measure of how steep a line is, found by dividing the change in height by the change in horizontal distance

斜率

斜率

Ex: When graphing data , the slope indicates the rate of change between variables .绘制数据图表时,**斜率**表示变量之间的变化率。
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arc
[名词]

(geometry) a part of a circle, which is curved

弧, 圆的一部分

弧, 圆的一部分

Ex: When measuring an arc, it is important to identify the center of the circle .测量**弧**时,确定圆心很重要。
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angle
[名词]

the space between two lines or surfaces that are joined, measured in degrees or radians

角度, 角度 (测量)

角度, 角度 (测量)

Ex: Understanding different angles is essential in geometry for solving problems .理解不同的**角度**对于解决几何问题至关重要。
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radian
[名词]

a unit for measuring angles, defined by the angle made when the radius of a circle is laid along its edge

弧度, 测量角度的单位,定义为圆的半径沿其边缘放置时所形成的角度

弧度, 测量角度的单位,定义为圆的半径沿其边缘放置时所形成的角度

Ex: Knowing the relationship between degrees and radians is essential for trigonometry .了解度和**弧度**之间的关系对三角学至关重要。
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right angle
[名词]

an angle measuring exactly 90 degrees

直角, 90度角

直角, 90度角

Ex: The carpenter adjusted the miter saw to cut the molding at a perfect right angle for seamless installation .木匠调整了斜切锯,以完美的**直角**切割装饰线条,以实现无缝安装。
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acute angle
[名词]

an angle that measures between 0 and 90 degrees, which is less than a right angle (90 degrees)

锐角, 小于90度的角

锐角, 小于90度的角

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one of a pair of opposite angles made by two intersecting lines, which are always equal

垂直角, 对顶角

垂直角, 对顶角

Ex: If one vertical angle is 45 degrees , the opposite vertical angle must also be 45 degrees .如果一个**垂直角**是45度,那么相对的垂直角也必须是45度。
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pairs of angles that share a common side and vertex in a polygon or between intersecting lines

连续角, 邻角

连续角, 邻角

Ex: A regular polygon has equal consecutive angles, each angle having the same measure .正多边形有相等的**连续角**,每个角的度数相同。
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polygon
[名词]

(geometry) a flat shape consisting of three or more straight sides

多边形, 由三条或更多直线边组成的平面形状

多边形, 由三条或更多直线边组成的平面形状

Ex: Polygons can be classified based on the number of their sides , such as pentagons and hexagons .**多边形**可以根据其边数进行分类,例如五边形和六边形。
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(geometry) any flat shape with four straight sides, the opposite sides of which are equal and parallel to each other

平行四边形, 任何有四条直边的平面形状,其对边相等且彼此平行

平行四边形, 任何有四条直边的平面形状,其对边相等且彼此平行

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(geometry) a flat figure with four straight sides and four angles

四边形, 有四条直边和四个角的平面图形

四边形, 有四条直边和四个角的平面图形

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hyperbola
[名词]

a geometric curve formed by the intersection of a plane with two cones, resulting in two symmetrical branches

双曲线, 双曲线曲线

双曲线, 双曲线曲线

Ex: Hyperbolas find applications in engineering, particularly in the design of antennas and satellite orbits.**双曲线**在工程中有应用,特别是在天线和卫星轨道的设计中。
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parabola
[名词]

(geometry) a symmetrical open curve that is similar to the path of an object thrown into the air passes till it falls back to earth

抛物线, 抛物曲线

抛物线, 抛物曲线

Ex: The quadratic function ’s graph is always a parabola.二次函数的图形总是一个**抛物线**。
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rhombus
[名词]

(geometry) a flat shape with four equal sides in which opposite angles are equal

菱形, 斜方形

菱形, 斜方形

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pentagon
[名词]

a geometric shape with five angles and five straight sides

五边形, 五角形

五边形, 五角形

Ex: She drew a pentagon on the chalkboard to illustrate its shape to the students .她在黑板上画了一个**五边形**,向学生们展示它的形状。
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tetrahedron
[名词]

(geometry) a polyhedron with four flat sides, a triangular pyramid

四面体, 三角锥

四面体, 三角锥

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trapezoid
[名词]

(geometry) a flat shape with four flat sides, two of which are parallel

梯形, 不规则四边形

梯形, 不规则四边形

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a type of triangle with all three sides of equal length

等边三角形, 等边三角形

等边三角形, 等边三角形

Ex: The traffic sign warned of an upcoming intersection with an equilateral triangle symbol .交通标志警告即将到来的交叉路口有一个**等边三角形**符号。
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a flat geometric shape consisting of three straight sides and one right angle

直角三角形, 有一个直角的三角形

直角三角形, 有一个直角的三角形

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a triangle in which all three interior angles are less than 90 degrees

锐角三角形, 锐三角形

锐角三角形, 锐三角形

Ex: When constructing an acute triangle, ensure that the sum of any two angles is greater than the third angle .构建**锐角三角形**时,确保任意两个角度的总和大于第三个角度。
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a type of triangle that has two sides of equal length and two angles of equal measure

等腰三角形

等腰三角形

Ex: The sum of the interior angles of an isosceles triangle is always 180 degrees .**等腰三角形**的内角和总是180度。
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a type of triangle that has all three sides of different lengths

不等边三角形, 三边长度都不相等的三角形

不等边三角形, 三边长度都不相等的三角形

Ex: The roof of the house had a distinct scalene triangle design .房子的屋顶有一个独特的**不等边三角形**设计。
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a triangle in which one of the interior angles is greater than 90 degrees

钝角三角形, 有一个角大于90度的三角形

钝角三角形, 有一个角大于90度的三角形

Ex: The properties of an obtuse triangle make it distinct in various geometric applications .**钝角三角形**的特性使其在各种几何应用中与众不同。
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a three-dimensional geometric shape that has a rectangular base and four triangular faces that meet at a single point called the apex

矩形金字塔, 底面为矩形的金字塔

矩形金字塔, 底面为矩形的金字塔

Ex: The height of a rectangular pyramid is measured from the apex perpendicular to the center of the rectangular base .**矩形金字塔**的高度是从顶点垂直于矩形底面的中心测量的。
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a three-dimensional geometric shape with two parallel circular bases connected by a curved surface at a right angle to the bases

直圆柱, 圆形底面的直角圆柱

直圆柱, 圆形底面的直角圆柱

Ex: The sculpture featured a series of right circular cylinders of varying heights and radii stacked on top of each other .雕塑展示了一系列高度和半径各不相同的**直圆柱**堆叠在一起。
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a solid figure with a circular base and a vertex that is perpendicular to the center of the base

正圆锥, 底面为圆的正圆锥

正圆锥, 底面为圆的正圆锥

Ex: The slant height of a right circular cone can be found using the Pythagorean theorem if the radius and the height are known .如果已知半径和高度,可以使用毕达哥拉斯定理找到**直圆锥**的斜高。
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epicycle
[名词]

a small circle whose center moves around the circumference of a larger circle

本轮, 次级圆

本轮, 次级圆

Ex: When the center of the epicycle moves along the circumference of the deferent, the resulting path of a point on the epicycle is known as an epicycloid.当**本轮**的中心沿着均轮的圆周移动时,本轮上一点的路径被称为外摆线。
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hypotenuse
[名词]

the longest side of a right-angled triangle, opposite the right angle, and defined as the side opposite the right angle in a right-angled triangle

斜边, 直角三角形中最长的边,与直角相对

斜边, 直角三角形中最长的边,与直角相对

Ex: Trigonometric ratios like sine , cosine , and tangent involve the relationship between the sides of a right triangle , including the hypotenuse.三角函数比如正弦、余弦和正切涉及直角三角形各边之间的关系,包括**斜边**。
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base
[名词]

the side of a geometric shape, usually the one considered as the bottom, from which the height is measured

底边, 基底边

底边, 基底边

Ex: For calculating the volume of a pyramid , you need to know the area of the base and the height .要计算金字塔的体积,你需要知道**底面**的面积和高度。
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diameter
[名词]

a straight line from one side of a round object, particularly a circle, passing through the center and joining the other side

直径, 直径

直径, 直径

Ex: The technician used a caliper to determine the diameter of the bearings needed for the machinery repair .技术员使用卡尺来确定机械维修所需的轴承的**直径**。
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radius
[名词]

the length of a straight line drawn from the center of a circle to any point on its outer boundary

半径, 半直径

半径, 半直径

Ex: The radius of a planet determines its gravitational influence and orbital characteristics within a solar system .行星的**半径**决定了其在太阳系内的引力影响和轨道特性。
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vertex
[名词]

a point where two or more lines, edges, or rays meet to form an angle, or the point at which the sides of a polygon intersect

顶点, 顶点

顶点, 顶点

Ex: In a cube , each of the eight corners is a vertex formed by the meeting of three edges .在立方体中,八个角中的每一个都是由三条边相交形成的**顶点**。
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perimeter
[名词]

the total length of the external boundary of something

周长

周长

Ex: The science project required students to build a model volcano and measure the perimeter of its base for stability analysis .科学项目要求学生建造一个火山模型并测量其底部的**周长**以进行稳定性分析。
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(geometry) the length of the external boundary of a curved shape, especially a circle

周长

周长

Ex: The mathematician used the circumference to solve the geometry problem .数学家使用**周长**来解决几何问题。
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area
[名词]

the measurement of a piece of land or a flat surface

面积

面积

Ex: The area can be expressed in square units , such as square meters or square feet .**面积**可以用平方单位表示,例如平方米或平方英尺。
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surface area
[名词]

the total area that the surface of a three-dimensional object occupies

表面积,  表面

表面积, 表面

Ex: Understanding surface area is essential for packaging design to minimize material use .理解**表面积**对于包装设计以最小化材料使用至关重要。
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volume
[名词]

the amount of space that a substance or object takes or the amount of space inside an object

体积, 容量

体积, 容量

Ex: The volume of water in the tank is monitored regularly .水箱中的水**量**被定期监测。
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asymptote
[名词]

a straight line that a curve approaches indefinitely but never intersects, characterizing the limiting behavior of the curve

渐近线, 渐近线

渐近线, 渐近线

Ex: Exponential functions may exhibit horizontal asymptotes, indicating stability in the long run .指数函数可能表现出水平**渐近线**,表明长期的稳定性。
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tangent
[名词]

a straight line that touches a curve or surface at exactly one point, known as the point of tangency

切线, 切線

切线, 切線

Ex: The artist 's sketch showed a spiral with multiple tangent lines , illustrating the various points of contact .艺术家的草图显示了一个带有多个**切线**的螺旋,说明了各个接触点。
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protractor
[名词]

a measuring instrument used to measure and draw angles

量角器, 分度规

量角器, 分度规

Ex: The engineer used a protractor to measure the angle of the roof in the blueprint .工程师使用**量角器**来测量蓝图中屋顶的角度。
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a line that divides a shape into two congruent parts

对称线, 对称轴

对称线, 对称轴

Ex: The butterfly 's wings have a line of symmetry running along its body , making each wing a mirror image of the other .蝴蝶的翅膀有一条沿着身体的**对称线**,使每个翅膀成为另一个的镜像。
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a series of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number

几何级数, 等比数列

几何级数, 等比数列

Ex: In a geometric series, if the common ratio is greater than 1 , the series will diverge .在**几何级数**中,如果公比大于1,级数将发散。
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quadrant
[名词]

one-fourth of a circle, formed by two perpendicular radii and the connecting arc

象限, 四分之一圆

象限, 四分之一圆

Ex: The quadrant shape is often used in various engineering and architectural designs.**象限**形状常用于各种工程和建筑设计中。
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an angle formed between two sides of a polygon that lies inside the shape

内角, 内部角度

内角, 内部角度

Ex: The interior angles of an octagon sum up to 1080 degrees .八边形的**内角**总和为1080度。
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ellipse
[名词]

(geometry) a closed plane curve that has two focal points

椭圆, 椭圆曲线

椭圆, 椭圆曲线

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chord
[名词]

a straight line segment that connects two points on the edge of a circle

弦, 和弦

弦, 和弦

Ex: The radius of a circle bisects any chord that it is perpendicular to .圆的半径平分任何与之垂直的**弦**。
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diagonal
[形容词]

(of a straight line) joining opposite corners of a flat shape at an angle

对角线的

对角线的

Ex: The designer added a bold diagonal stripe that extended from the top left corner to the bottom right corner of the canvas .设计师添加了一条从画布左上角延伸到右下角的粗体**对角线**条纹。
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congruent
[形容词]

(in geometry) describing shapes of the same size and form

全等, 一致的

全等, 一致的

Ex: The two triangles are congruent because they have the same shape and size.这两个三角形是**全等的**,因为它们具有相同的形状和大小。
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parallel
[形容词]

having an equal distance from each other at every point

平行的, 等距的

平行的, 等距的

Ex: The railroad tracks are parallel to each other .铁轨彼此**平行**。
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transversal
[形容词]

(of a line) intersecting two or more other lines at different points

横向的, 相交的

横向的, 相交的

Ex: The transversal beams supported the structure at different angles .**横向**梁以不同角度支撑结构。
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perpendicular
[形容词]

(of lines or planes) intersecting each other at a 90 degree angle

垂直的, 成直角

垂直的, 成直角

Ex: The artist drew a perpendicular line from the edge of the canvas to start his sketch .艺术家从画布的边缘画了一条**垂直**线开始他的素描。
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to bisect
[动词]

to divide something into two equal parts

平分, 对半分

平分, 对半分

Ex: He used a saw to bisect the wooden plank for the woodworking project .他使用锯子**平分**木板用于木工项目。
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to translate
[动词]

(geometry) to move a shape or figure from one position to another without rotating, resizing, or otherwise altering its shape

平移, 移动

平移, 移动

Ex: In geometry, to translate a shape means to slide it horizontally, vertically, or both, without altering its orientation.在几何学中,**平移**一个形状意味着在不改变其方向的情况下,水平、垂直或两者都滑动它。
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asymmetry
[名词]

(geometry) a lack of symmetry or equivalence in shape or size between the two sides or parts of something

不对称

不对称

Ex: Studying asymmetry helps in understanding how shapes differ from being perfectly symmetrical .研究**不对称性**有助于理解形状如何与完美对称不同。
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数学和逻辑SAT
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