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IELTS学术词汇 (分数6-7) - 数学与图表

在这里,你将学习一些与数学和图表相关的英语单词,这些单词是学术雅思考试所必需的。

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Vocabulary for Academic IELTS (6-7)
logarithm
logarithm
[名词]

a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number

对数

对数

Ex: Astronomers apply logarithms to express stellar magnitudes and measure the brightness of celestial objects .

天文学家应用对数来表示星等和测量天体的亮度。

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theorem
theorem
[名词]

a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system

定理

定理

Ex: Students often encounter various theorems while studying advanced mathematics .

学生在学习高等数学时经常会遇到各种定理

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vector
vector
[名词]

an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering

向量, 矢量

向量, 矢量

Ex: The force exerted by a tensioned rope can be represented as a vector in mechanics .

由张紧的绳子施加的力可以在力学中表示为矢量

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function
function
[名词]

(mathematics) a quantity whose value changes according to another quantity's varying value

函数

函数

Ex: Statisticians analyze data using functions such as mean , median , and standard deviation to understand distributions and trends .

统计学家使用函数(如均值、中位数和标准差)分析数据以理解分布和趋势。

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pi
pi
[名词]

a mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159

π, 圆周率

π, 圆周率

Ex: The circumference of a semicircle is C = π * r , showcasing the presence of pi in geometric calculations .

半圆的周长是 C = π * r,展示了 π 在几何计算中的存在。

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series
series
[名词]

a mathematical representation of the sum of the terms of a sequence, often denoted by the symbol Σ (sigma), where the terms are added together in a specified order

级数, 序列

级数, 序列

Ex: The alternating series test is a criterion used to determine the convergence of series with alternating signs .

交错级数检验是用来确定符号交替的级数收敛性的一个准则。

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trigonometry
trigonometry
[名词]

a branch of mathematics that deals with the relationships between the angles and sides of triangles

三角学, 三角学分支

三角学, 三角学分支

Ex: Trigonometry plays a key role in fields such as physics , engineering , and computer science , where understanding angles and periodic functions is essential .

三角学在物理学、工程和计算机科学等领域起着关键作用,其中理解角度和周期函数是必不可少的。

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quotient
quotient
[名词]

the result obtained by dividing one quantity or number by another, expressed as the outcome of a division operation

商

Ex: The quotient of 50 and 10 is 5 , reflecting the result of their division .

50和10的是5,反映了它们除法的结果。

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hypotenuse
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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interval
interval
[名词]

a set of real numbers that includes all the numbers between any two specified numbers within the set

间隔, 区间

间隔, 区间

Ex: An interval like [ 2 , 2 ] includes only the number 2 , as both endpoints are the same .

像[2, 2]这样的区间只包括数字2,因为两个端点相同。

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grid
grid
[名词]

a framework of spaced lines, horizontal and vertical, used as a reference for plotting points

网格, 格子

网格, 格子

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median
median
[名词]

a statistical measure that represents the middle value of a data set when the values are arranged in ascending or descending order

中位数, 中间值

中位数, 中间值

Ex: For the series { 20 , 25 , 30 , 35 , 40 , 45 } , the median is 32.5 , calculated as the average of 30 and 35 .

对于系列{20, 25, 30, 35, 40, 45},中位数是32.5,计算为30和35的平均值。

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mode
mode
[名词]

the value that appears most frequently in a data set

众数, 模态值

众数, 模态值

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infographic
infographic
[名词]

a visual representation of information or data, designed to convey complex information quickly and clearly

信息图, 信息的视觉表现

信息图, 信息的视觉表现

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distribution
distribution
[名词]

(statistics) an arrangement of values of a variable showing how often each occurs, either observed or theoretical

分布, 分配

分布, 分配

Ex: Probability theory explains the expected distribution of outcomes .

概率论解释了结果的预期分布

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mean
mean
[名词]

(mathematics) the average value of a set of quantities calculated by adding them, and dividing them by the total number of the quantities

平均数, 算术平均数

平均数, 算术平均数

Ex: The mean of the test results was used to assess overall student achievement .

测试结果的平均值被用来评估学生的整体成绩。

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cluster
cluster
[名词]

a grouping or concentration of data points in a specific region, often used in statistics and data analysis to describe a set of values that are close to each other

簇, 群集

簇, 群集

Ex: Cluster sampling involves dividing a population into clusters and randomly selecting entire clusters for analysis .

聚类抽样涉及将总体划分为聚类并随机选择整个聚类进行分析。

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histogram
histogram
[名词]

a diagram consisting of bars with different heights that represent the amount of a variable

直方图, 条形图

直方图, 条形图

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sector
sector
[名词]

a portion of a circle, defined by an arc and the two radii that connect the arc's endpoints to the circle's center

扇形, 部分

扇形, 部分

Ex: The agricultural field was divided into sectors for planting different crops , each with its own irrigation system .

农田被划分为扇区以种植不同的作物,每个扇区都有自己的灌溉系统。

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ratio
ratio
[名词]

the result of dividing one number, quantity, or expression by another

比率, 比例

比率, 比例

Ex: The student explained the ratio in the equation .

学生解释了方程中的比率

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