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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: She used the logarithm to solve complex exponential equations in her mathematics class. 

她在数学课上用对数解复杂的指数方程。

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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: One fundamental aspect of mathematical reasoning is establishing the validity of theorems. 

数学推理的一个基本方面是确立定理的有效性。

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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: Velocity, a vector quantity, describes an object's speed and the direction in which it is moving. 
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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. 
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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: Sine and cosine waves are periodic functions with periods that are multiples of 2π, a property tied to the circle and pi. 

正弦波和余弦波是周期函数,其周期是2π的倍数,这一性质与圆和π有关。

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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 harmonic series 1 + 1/2 + 1/3 + 1/4 + 1/5 diverges, meaning its sum approaches infinity as more terms are added. 

调和级数 1 + 1/2 + 1/3 + 1/4 + 1/5 发散,意味着随着更多项的加入,其和趋近于无穷大。

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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: The cosine function (cos) in trigonometry expresses the ratio of the adjacent side to the hypotenuse. 

三角函数中的余弦函数(cos)表示邻边与斜边的比率。

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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

商

Ex: The quotient of 20 and 5 is 4, as 20 divided by 5 equals 4. 

20和5的商是4,因为20除以5等于4。

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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: The hypotenuse of a 30-60-90 triangle is always twice the length of the shorter leg. 

30-60-90三角形的斜边总是较短边长度的两倍。

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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. 
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grid
grid
[名词]

a network of regularly spaced horizontal and vertical lines used to locate, measure, or plot positions

网格,  方格

网格, 方格

Ex: The map uses a numbered grid to help users locate places. 
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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 data set {3, 6, 8, 12, 15, 19}, the median is 10, the average of the two middle values 8 and 12. 

对于数据集{3, 6, 8, 12, 15, 19},中位数是10,即两个中间值8和12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

Ex: The mode is the number that occurs most often. 
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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. 
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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. 
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cluster
cluster
[名词]

a group of similar things or people that are close together

Ex: Several students gathered in a cluster around the noticeboard. 
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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. 
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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. 
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