数学专业英语习题答案

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数学专业英语

数学专业英语课后答案2.1数学、方程与比例词组翻译1.数学分支branches of mathematics，算数arithmetics，几何学geometry，代数学algebra，三角学trigonometry，高等数学higher mathematics，初等数学elementary mathematics，高等代数higher algebra，数学分析mathematical analysis，函数论function theory，微分方程differential equation2.命题proposition，公理axiom，公设postulate，定义definition，定理theorem，引理lemma，推论deduction3.形form，数number，数字numeral，数值numerical value，图形figure，公式formula，符号notation(symbol)，记法/记号sign，图表chart4.概念conception，相等equality，成立/真true，不成立/不真untrue，等式equation，恒等式identity，条件等式equation of condition，项/术语term，集set，函数function，常数constant，方程equation，线性方程linear equation，二次方程quadratic equation5.运算operation，加法addition，减法subtraction，乘法multiplication，除法division，证明proof，推理deduction，逻辑推理logical deduction6.测量土地to measure land，推导定理to deduce theorems，指定的运算indicated operation，获得结论to obtain the conclusions，占据中心地位to occupy the centric place汉译英（1）数学来源于人类的社会实践，包括工农业的劳动，商业、军事和科学技术研究等活动。

大专数学英语考试题及答案

大专数学英语考试题及答案一、选择题（每题2分，共20分）1. 函数f(x)=x^2+3x+2的零点个数是：A. 0B. 1C. 2D. 3答案：C2. 以下哪个选项是英语中的现在完成时态？A. She is studying.B. She studies.C. She has studied.D. She will study.答案：C3. 求极限lim(x→0) (sin(x)/x)的值是：A. 0B. 1C. -1D. ∞答案：B4. 英语中“take a break”的意思是：A. 继续工作B. 休息一下C. 放弃D. 开始工作答案：B5. 以下哪个选项是正确的数学符号表示？A. ∃x∈R, x^2 = -1B. ∀x∈R, x^2 ≥ 0C. ∃x∈R, x^2 < 0D. ∀x∈R, x^2 = 0答案：B6. 英语中“as well as”的意思是：A. 而不是B. 和...一样C. 也D. 除了答案：C7. 以下哪个选项是正确的英语语法结构？A. She is taller than me.B. She is more taller than me.C. She is taller than I.D. She is more tall than me.答案：A8. 求定积分∫(0 to 1) x^2 dx的值是：A. 1/3B. 1/2C. 2/3D. 1答案：A9. 英语中“in advance”的意思是：A. 延迟B. 提前C. 同时D. 落后答案：B10. 以下哪个选项是正确的数学公式？A. (a+b)^2 = a^2 + b^2B. (a+b)^2 = a^2 - 2ab + b^2C. (a+b)^2 = a^2 + 2ab + b^2D. (a+b)^2 = a^2 + b^2答案：C二、填空题（每题3分，共15分）1. 函数f(x)=2x-3的反函数是________。

高中英语数学术语练习题30题含答案解析

高中英语数学术语练习题30题含答案解析1.The sum of two numbers is 15. One number is 7. What is the other number?A.6B.8C.9D.10答案解析：B。

本题考查“sum”（和）这个数学术语以及简单的减法运算。

“sum”表示两数之和为15，一个数是7，那么另一个数就是15 减去7 等于8。

A 选项6，计算错误；C 选项9，与题干所给条件不符；D 选项10，也不符合计算结果。

2.There are 20 apples. If you divide them equally among 4 people, how many apples will each person get?A.4B.5C.6D.7答案解析：B。

本题涉及“divide”（除）这个数学术语以及除法运算。

20 个苹果平均分给4 个人，每人得到的苹果数是20 除以4 等于5。

A 选项4，计算错误；C 选项6，与实际结果不符；D 选项7，也不是正确答案。

3.The product of two numbers is 36. One number is4. What is theother number?A.8B.9C.10D.12答案解析：B。

这里考查“product” 积）这个数学术语和乘法的逆运算除法。

两个数的积是36，一个数是4，那么另一个数是36 除以4 等于9。

A 选项8，不符合计算结果；C 选项10，错误；D 选项12，也不对。

4.A box contains 12 pencils. If you take out 5 pencils, how many pencils are left in the box?A.6B.7C.8D.9答案解析：B。

本题涉及简单的减法运算。

盒子里有12 支铅笔，拿走5 支，剩下的铅笔数是12 减去5 等于7。

A 选项6，计算错误；C 选项8，不正确；D 选项9，不符合结果。

英语数学试题及答案

英语数学试题及答案一、选择题（每题2分，共10分）1. What is the correct spelling of the word "mathematics"?A. mathmaticsB. mathmaticC. mathematicsD. mathmatics2. Which of the following is the correct way to express the number "two thousand and fifty"?A. 2050B. 2000 + 50C. 2000 + 50sD. 2000 + 503. If the sum of two numbers is 10 and their difference is 2, what are the two numbers?A. 4 and 6B. 6 and 4C. 8 and 2D. 2 and 84. Which of the following fractions is equal to 0.5?A. 1/2B. 2/4C. 3/6D. 4/85. What is the value of x in the equation 2x + 3 = 7?A. 1B. 2C. 3D. 4二、填空题（每题3分，共15分）6. The word "mathematics" comes from the Greek word "mathema," which means _______.7. The number 1234 can be written in expanded form as 1000 + 200 + 30 + _______.8. If you have 5 apples and you give 2 away, you have _______ apples left.9. The fraction 5/10 can be simplified to _______.10. To find the perimeter of a rectangle, you need to add the lengths of all four sides. If a rectangle has a length of 8 units and a width of 5 units, its perimeter is _______ units.三、解答题（每题5分，共20分）11. Solve the following system of equations:\[ x + y = 15 \]\[ 2x - y = 3 \]12. Calculate the area of a circle with a radius of 7 cm. Use the formula $ A = \pi r^2 $.13. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 cm, find the dimensions of the rectangle.14. Simplify the expression $ 3(2x + 4) - 2(x - 3) $.四、应用题（每题10分，共20分）15. A library has 120 books. If 20% of the books are fiction and the rest are non-fiction, how many books are non-fiction?16. A store sells two types of pens: Type A pens cost $2 each and Type B pens cost $3 each. If the store sells 50 pens in total and makes a profit of $120, how many of each type of pen were sold?答案：一、选择题1. C2. A3. A4. A5. B二、填空题6. learning, study, or science7. 48. 39. 1/210. 26三、解答题11. $ x = 6 $, $ y = 9 $12. $ A = 153.94 $ square cm (using $ \pi \approx 3.14 $)13. Length = 24 cm, Width = 12 cm14. $ 8x + 6 $四、应用题15. 96 books are non-fiction.16. 30 Type A pens and 20 Type B pens were sold.结束语：希望这些练习能帮助你更好地理解和掌握英语和数学知识。

数学专业英语课后答案

数学专业英语课后答案1、He kept walking up and down, which was a sure（）that he was very worried. [单选题] *A. sign(正确答案)B. characterC. natureD. end2、20．Jerry is hard-working. It’s not ______ that he can pass the exam easily. [单选题] * A．surpriseB．surprising (正确答案)C．surprisedD．surprises3、--What’s the weather like today?--It’s _______. [单选题] *A. rainB. windy(正确答案)C. sunD. wind4、Many of my classmates are working _______volunteers. [单选题] *A. as(正确答案)B. toC. atD. like5、Mary is interested ______ hiking. [单选题] *A. onB. byC. in(正确答案)D. at6、We need a _______ when we travel around a new place. [单选题] *A. guide(正确答案)B. touristC. painterD. teacher7、While they were in discussion, their manager came in by chance. [单选题] *A. 抓住时机C. 碰巧(正确答案)D. 及时8、Our campus is _____ big that we need a bike to make it. [单选题] *A. veryB. so(正确答案)C. suchD. much9、57．Next week will be Lisa's birthday. I will send her a birthday present ________ post. [单选题] *A．withB．forC．by(正确答案)D．in10、The manager demanded that all employees _____ on time. [单选题] *A. be(正确答案)B. areC. to be11、He has two sisters but I have not _____. [单选题] *A. noneB. someC. onesD. any(正确答案)12、______! It’s not the end of the world. Let’s try it again.（）[单选题] *A. Put upB. Set upC. Cheer up(正确答案)D. Pick up13、My brother usually _______ his room after school. But now he _______ soccer. [单选题] *A. cleans; playsB. cleaning; playingC. cleans; is playing(正确答案)D. cleans; is playing the14、The museum is _______ in the northeast of Changsha. [单选题] *A. sitB. located(正确答案)C. liesD. stand15、______ my great joy, I met an old friend I haven' t seen for years ______ my way ______ town. [单选题] *A. To, in, forB. To, on, to(正确答案)C. With, in, toD. For, in, for16、In the closet（）a pair of trousers his parents bought for his birthday. [单选题] *A. lyingB. lies(正确答案)c. lieD. is lain17、44．—Hi, Lucy. You ________ very beautiful in the new dress today.—Thank you very much. [单选题] *A．look(正确答案)B．watchC．look atD．see18、They all choose me ______ our class monitor.（）[单选题] *A. as(正确答案)B. inC. withD. on19、My mother’s birthday is coming. I want to buy a new shirt ______ her.（）[单选题] *A. atB. for(正确答案)C. toD. with20、--Could you please tell me _______ to get to the nearest supermarket?--Sorry, I am a stranger here. [单选题] *A. whatB. how(正确答案)C. whenD. why21、?I am good at schoolwork. I often help my classmates _______ English. [单选题] *A. atB. toC. inD. with(正确答案)22、He was very excited to read the news _____ Mo Yan had won the Nobel Prize for literature [单选题] *A. whichB. whatC. howD. that(正确答案)23、Becky is having a great time ______ her aunt in Shanghai. （）[单选题] *A. to visitB. visitedC. visitsD. visiting(正确答案)24、In the future, people ______ a new kind of clothes that will be warm when they are cold, and cool when they’re hot.（）[单选题] *A. wearB. woreC. are wearingD. will wear(正确答案)25、This message is _______. We are all _______ at it. [单选题] *A. surprising; surprisingB. surprised; surprisedC. surprising; surprised(正确答案)D. surprised; surprising26、Your homework must_______ tomorrow. [单选题] *A. hand inB. is handed inC. hands inD. be handed in(正确答案)27、Since the war their country has taken many important steps to improve its economic situation. [单选题] *A. 制定B. 提出C. 讨论D. 采取(正确答案)28、How _______ Grace grows! She’s almost as tall as her mother now. [单选题] *A. cuteB. strongC. fast(正确答案)D. clever29、_____ is not known yet. [单选题] *A. Although he is serious about itB. No matter how we will do the taskC. Whether we will go outing or not(正确答案)D. Unless they come to see us30、You cannot see the doctor _____ you have made an appointment with him. [单选题] *A. exceptB.evenC. howeverD.unless(正确答案)。

高中数学英文试题及答案

高中数学英文试题及答案High School Mathematics English Exam Questions and AnswersQuestion 1:Solve the following quadratic equation for x:\[ 2x^2 - 7x + 3 = 0 \]Answer 1:To solve the quadratic equation $ 2x^2 - 7x + 3 = 0 $, we can use the quadratic formula:\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]where $ a = 2 $, $ b = -7 $, and $ c = 3 $. Plugging in the values, we get:\[ x = \frac{-(-7) \pm \sqrt{(-7)^2 - 4(2)(3)}}{2(2)} \]\[ x = \frac{7 \pm \sqrt{49 - 24}}{4} \]\[ x = \frac{7 \pm \sqrt{25}}{4} \]\[ x = \frac{7 \pm 5}{4} \]So, the solutions are $ x = 3 $ and $ x = \frac{1}{2} $.Question 2:Find the derivative of the function $ f(x) = 3x^4 - 2x^3 + x^2 + 5 $.Answer 2:To find the derivative of the function $ f(x) = 3x^4 - 2x^3 + x^2 + 5 $, we apply the power rule for derivatives:\[ f'(x) = 4 \cdot 3x^3 - 3 \cdot 2x^2 + 2 \cdot x + 0 \]\[ f'(x) = 12x^3 - 6x^2 + 2x \]Question 3:Evaluate the definite integral of the function $ g(x) = 4x - 3 $ from $ x = 1 $ to $ x = 4 $.Answer 3:To evaluate the definite integral of $ g(x) = 4x - 3 $ from $ x = 1 $ to $ x = 4 $, we integrate the function and then subtract the value of the integral at the lower limit from the value at the upper limit:\[ \int_{1}^{4} (4x - 3) \, dx = \left[ 2x^2 - 3x\right]_{1}^{4} \]\[ = (2 \cdot 4^2 - 3 \cdot 4) - (2 \cdot 1^2 - 3 \cdot 1) \] \[ = (32 - 12) - (2 - 3) \]\[ = 20 - (-1) \]\[ = 21 \]Question 4:Simplify the expression $ \frac{2x^2 - 4x + 2}{x - 1} $ by factoring.Answer 4:To simplify the expression $ \frac{2x^2 - 4x + 2}{x - 1} $, we factor out the greatest common factor from the numerator: \[ \frac{2(x^2 - 2x + 1)}{x - 1} \]Notice that the numerator is a perfect square trinomial:\[ \frac{2(x - 1)^2}{x - 1} \]Now, we can cancel out the common factor $ (x - 1) $ from the numerator and denominator:\[ 2(x - 1) \]So, the simplified expression is $ 2x - 2 $.Question 5:Determine the equation of the line that passes through the points $ (2, 3) $ and $ (-1, -2) $.Answer 5:To find the equation of the line passing through the points $ (2, 3) $ and $ (-1, -2) $, we first find the slope $ m $ of the line:\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 3}{-1 - 2} = \frac{-5}{-3} = \frac{5}{3} \]Now, using the point-slope form of a line equation $ y - y_1 = m(x - x_1) $, we can plug in one of the points and the。

数学专业英语第2章课后答案

2.12.比:ratio 比例:proportion 利率:interest rate 速率:speed 除:divide 除法:division 商:quotient 同类量:like quantity 项:term 线段:line segment 角:angle 长度:length 宽:width高度:height 维数:dimension 单位:unit 分数:fraction 百分数:percentage3.(1)一条线段和一个角的比没有意义,他们不是相同类型的量.(2)比较式通过说明一个量是另一个量的多少倍做出的,并且这两个量必须依据相同的单位.(5)为了解一个方程,我们必须移项,直到未知项独自处在方程的一边,这样就可以使它等于另一边的某量.4.(1)Measuring the length of a desk, is actually comparing the length of the desk to that of a ruler.(3)Ratio is different from the measurement, it has no units. The ratio of the length and the width of the same book does not vary when the measurement unit changes.(5)60 percent of students in a school are female students, which mean that 60 students out of every 100 students are female students.2.22.初等几何:elementary geometry 三角学:trigonometry 余弦定理:Law of cosines 勾股定理/毕达哥拉斯定理:Gou-Gu theorem/Pythagoras theorem 角:angle 锐角:acute angle 直角:right angle 同终边的角:conterminal angles 仰角:angle of elevation 俯角:angle of depression 全等:congruence 夹角:included angle 三角形:triangle 三角函数:trigonometric function直角边:leg 斜边:hypotenuse 对边:opposite side 临边:adjacent side 始边:initial side 解三角形:solve a triangle 互相依赖:mutually dependent 表示成:be denoted as 定义为:be defined as3.(1)Trigonometric function of the acute angle shows the mutually dependent relations between each sides and acute angle of the right triangle.(3)If two sides and the included angle of an oblique triangle areknown, then the unknown sides and angles can be found by using the law of cosines.(5)Knowing the length of two sides and the measure of the included angle can determine the shape and size of the triangle. In other words, the two triangles made by these data are congruent.4.(1)如果一个角的顶点在一个笛卡尔坐标系的原点并且它的始边沿着x轴正方向，这个角被称为处于标准位置.(3)仰角和俯角是以一条以水平线为参考位置来测量的,如果正被观测的物体在观测者的上方,那么由水平线和视线所形成的角叫做仰角.如果正被观测的物体在观测者的下方,那么由水平线和视线所形成的的角叫做俯角.(5)如果我们知道一个三角形的两条边的长度和对着其中一条边的角度,我们如何解这个三角形呢?这个问题有一点困难来回答,因为所给的信息可能确定两个三角形,一个三角形或者一个也确定不了.2.32.素数:prime 合数:composite 质因数:prime factor/prime divisor 公倍数:common multiple 正素因子: positive prime divisor 除法算式:division equation 最大公因数:greatest common divisor(G.C.D) 最小公倍数: lowest common multiple(L.C.M) 整除:divide by 整除性:divisibility 过程:process 证明:proof 分类:classification 剩余:remainder辗转相除法:Euclidean algorithm 有限集:finite set 无限的:infinitely 可数的countable 终止:terminate 与矛盾:contrary to3.(1)We need to study by which integers an integer is divisible, that is , what factor it has. Specially, it is sometime required that an integer is expressed as the product of its prime factors.(3)The number 1 is neither a prime nor a composite number;A composite number in addition to being divisible by 1 and itself, can also be divisible by some prime number.(5)The number of the primes bounded above by any given finite integer N can be found by using the method of the sieve Eratosthenes.4.(1)数论中一个重要的问题是哥德巴赫猜想,它是关于偶数作为两个奇素数和的表示.(3)一个数,形如2p-1的素数被称为梅森素数.求出5个这样的数.(5)任意给定的整数m和素数p,p的仅有的正因子是p和1,因此仅有的可能的p和m的正公因子是p和1.因此,我们有结论:如果p是一个素数,m是任意整数,那么p整除m,要么(p,m)=1.2.42.集:set 子集:subset 真子集:proper subset 全集:universe 补集:complement 抽象集:abstract set 并集:union 交集:intersection 元素:element/member 组成:comprise/constitute包含:contain 术语:terminology 概念:concept 上有界:bounded above 上界:upper bound 最小的上界:least upper bound 完备性公理:completeness axiom3.(1)Set theory has become one of the common theoretical foundation and the important tools in many branches of mathematics.(3)Set S itself is the improper subset of S; if set T is a subset of S but not S, then T is called a proper subset of S.(5)The subset T of set S can often be denoted by {x}, that is, T consists of those elements x for which P(x) holds.(7)This example makes the following question become clear, that is, why may two straight lines in the space neither intersect nor parallel.4.(1)设N是所有自然数的集合,如果S是所有偶数的集合,那么它在N中的补集是所有奇数的集合.(3)一个非空集合S称为由上界的,如果存在一个数c具有属性:x<=c对于所有S中的x.这样一个数字c被称为S的上界.(5)从任意两个对象x和y，我们可以形成序列（x，y），它被称为一个有序对，除非x=y，否则它当然不同于（y，x）.如果S和T是任意集合，我们用S*T表示所有有序对（x,y),其中x术语S，y属于T.在R.笛卡尔展示了如何通过实轴和它自己的笛卡尔积来描述平面的点之后，集合S*T被称为S和T的笛卡尔积.2.52.竖直线:vertical line 水平线:horizontal line 数对:pairs of numbers 有序对:ordered pairs 纵坐标:ordinate 横坐标:abscissas 一一对应:one-to-one 对应点:corresponding points圆锥曲线:conic sections 非空图形:non vacuous graph 直立圆锥:right circular cone 定值角:constant angle 母线:generating line 双曲线:hyperbola 抛物线:parabola 椭圆:ellipse退化的:degenerate 非退化的:nondegenerate任意的:arbitrarily 相容的:consistent 在几何上:geometrically 二次方程:quadratic equation 判别式:discriminant 行列式:determinant3.(1)In the planar rectangular coordinate system, one can set up aone-to-one correspondence between points and ordered pairs of numbers and also a one-to-one correspondence between conic sections and quadratic equation.(3)The symbol can be used to denote the set of ordered pairs（x，y）such that the ordinate is equal to the cube of the abscissa.（5）According to the values of the discriminate，the non-degenerate graph of Equation （iii） maybe known to be a parabola， a hyperbolaor an ellipse.4.（1）在例1，我们既用了图形，也用了代数的代入法解一个方程组（其中一个方程式二次的，另一个是线性的）。

高三英语数学词汇练习题30题含答案解析

高三英语数学词汇练习题30题含答案解析1.The equation 2x + 3 = 9. What is the value of x?A.variableB.constantC.coefficientD.term答案解析：A 选项“variable”是变量的意思；B 选项“constant”是常量；C 选项“coefficient”是系数；D 选项“term”是项。

在方程中，x 是变量，所以选A。

2.In the expression 5y - 2, what does y represent?A.integerB.fractionC.variableD.rational number答案解析：A 选项“integer”是整数；B 选项“fraction”是分数；C 选项“variable”是变量；D 选项“rational number”是有理数。

这里y 是变量，选C。

3.The formula for the area of a rectangle is A = lw. What does l stand for?A.lengthtitudeC.luminosityD.likelihood答案解析：A 选项“length”是长度；B 选项“latitude”是纬度；C 选项“luminosity”是亮度；D 选项“likelihood”是可能性。

在矩形面积公式中，l 代表长度，选A。

4.In the equation y = mx + b, what does m represent?A.slopeB.interceptC.quadratic termD.cubic term答案解析：A 选项“slope”是斜率；B 选项“intercept”是截距；C 选项“quadratic term”是二次项；D 选项“cubic term”是三次项。

在这个方程中，m 代表斜率，选A。

5.The sum of two numbers is 10. If one number is x, what is the other number?A.10 - xB.10 + xC.x - 10D.x / 10答案解析：两个数的和是10，一个数是x，那么另一个数就是10 减去x，选A。

高一英语高等数学基础概念练习题40题(带答案)

高一英语高等数学基础概念练习题40题(带答案)1. The ______ of the function $y = \sqrt{x}$ is $x\geqslant0$.A. rangeB. domainC. valueD. variable答案解析：B。

本题考查函数概念中的定义域的英语表述。

“domain”表示定义域，对于函数$y = \sqrt{x}$，$x\geqslant0$是其定义域。

选项A“range”表示值域，是函数值的取值范围，不符合题意。

选项C“value”表示值，比较宽泛，没有明确指出是定义域相关概念。

选项D“variable”表示变量，和定义域概念不同。

2. In the function $y = \frac{1}{x}$, the set of all possible values of $x$ for which the function is defined is called the ______.A. co - domainB. domainC. imageD. pre - image答案解析：B。

这里考查函数定义域的概念的英语表达。

“domain”就是定义域的意思，在函数$y=\frac{1}{x}$中，使函数有定义的$x$的所有可能取值的集合就是定义域。

选项A“co - domain”是陪域的概念，与本题不符。

选项C“image”表示像，不是定义域概念。

选项D“pre - image”表示原像，也不符合题意。

3. The function $y = x^{2}+1$, the set of all output values $y$ is known as the ______.A. domainB. variableC. rangeD. coefficient答案解析：C。

本题考查值域的英语表达。

“range”表示值域，对于函数$y = x^{2}+1$，所有输出值$y$的集合就是值域。

大专数学英语考试题及答案

大专数学英语考试题及答案一、选择题（每题2分，共20分）1. 下列哪个选项是数学中的勾股定理？A. a² + b² = c²B. a² - b² = c²C. a² + c² = b²D. a² - c² = b²答案：A2. 英语中，哪个单词的意思是“图书馆”？A. LibraryB. LibraC. LabyrinthD. Labor答案：A3. 函数f(x) = 2x + 3中，当x = 1时，f(x)的值是多少？A. 5B. 4C. 3D. 2答案：A4. 英语中，哪个短语表示“在…的对面”？A. On the other side ofB. On the same side ofC. In the middle ofD. At the end of答案：A5. 以下哪个数学符号表示“不等于”？A. ≠B. =C. ≤D. ≥答案：A6. 英语中，哪个单词的意思是“计算机”？A. ComputerB. CalculatorC. CameraD. Car答案：A7. 一个圆的面积是πr²，那么半径r=2时，圆的面积是多少？A. 4πB. 2πC. πD. 8π答案：D8. 英语中，哪个短语表示“在…之后”？A. AfterB. BeforeC. DuringD. Until答案：A9. 以下哪个数学表达式表示“x的平方减去y的平方”？A. x² - y²B. x² + y²C. x - y²D. x² + y答案：A10. 英语中，哪个单词的意思是“会议”？A. MeetingB. GreetingC. EatingD. Beating答案：A二、填空题（每题3分，共30分）1. 圆的周长公式是C = _______πd，其中d是直径。

数学专业英语课后答案

2.1数学、方程与比例词组翻译1.数学分支branches of mathematics，算数arithmetics，几何学geometry，代数学algebra，三角学trigonometry，高等数学higher mathematics，初等数学elementary mathematics，高等代数higher algebra，数学分析mathematical analysis，函数论function theory，微分方程differential equation2.命题proposition，公理axiom，公设postulate，定义definition，定理theorem，引理lemma，推论deduction3.形form，数number，数字numeral，数值numerical value，图形figure，公式formula，符号notation(symbol)，记法/记号sign，图表chart4.概念conception，相等equality，成立/真true，不成立/不真untrue，等式equation，恒等式identity，条件等式equation of condition，项/术语term，集set，函数function，常数constant，方程equation，线性方程linear equation，二次方程quadratic equation5.运算operation，加法addition，减法subtraction，乘法multiplication，除法division，证明proof，推理deduction，逻辑推理logical deduction6.测量土地to measure land，推导定理to deduce theorems，指定的运算indicated operation，获得结论to obtain the conclusions，占据中心地位to occupy the centric place汉译英（1）数学来源于人类的社会实践，包括工农业的劳动，商业、军事和科学技术研究等活动。

数学专业英语课后习题2.4

1.1）integer，rational number，irrational number，real number，negative number，the negative，real line，real axis，scale，to the left/right of 2）sum，difference，product，quotient，power，inequality3）axiom，the field axiom，the order axiom4）ordered，entirely complete，Euclidean，appropriate，distinguished，illuminating5）can be deduced formula，formula interchangeably，using a set of formulas，corresponding to an object，proof by induction，the two set to be distinguished2.1）Strictly speaking, this description of the positive integers is not entirely complete because we have not explained in detail what we mean by the expressions “and so on”, or “repeated addition of 1”.2）The sum, difference, or product of two integers is an integer, but the quotient of two integers need not be an integer.3）This device for representing real numbers geometrically is a very worthwhile aid that helps us to discover and understand better certain properties of real numbers.4）The geometry often suggests the method of proof of a particular theorem, and sometimes a geometric argument is more illuminating than a purely analytic proof (one depending entirely on the axioms for the real numbers).5）If a set consisting of real numbers satisfies the following conditions we call it an open interval.6）The real number a is the negative number of –a and their absolute values are equal. When a ≠ 0, their notations are different.7）Each real number corresponds to exactly one point on this line and, conversely, each point on the line corresponds to one and only one real number.8）In geometry, the ordering relation among the real numbers can be expressed clearly in real axis.3.1）一个常见的错误是认为x 是一个负数。

高等数学英文教材答案

高等数学英文教材答案Title: Answer Key for Advanced Mathematics English TextbookI. IntroductionAdvanced Mathematics is a fundamental subject for students pursuing a higher education in STEM fields. To aid in their learning, an English textbook for Advanced Mathematics has been developed. This article serves as an answer key for the textbook, providing students with accurate solutions to exercises and guiding them towards a better understanding of the subject.II. Chapter 1: Functions and Their Graphs1.1 Linear FunctionsExercise 1:Solution: The equation of the line is y = 2x - 3.Exercise 2:Solution: The slope of the line passing through the points (-1, 4) and (3, -2) is -1. The equation of the line is y = -x + 3.1.2 Quadratic FunctionsExercise 1:Solution: The vertex of the parabola y = x^2 - 2x + 1 is (1, 0).Exercise 2:Solution: The equation of the parabola passing through the points (-1, 3), (0, 1), and (2, -1) is y = -x^2 + x + 1.III. Chapter 2: Differentiation2.1 Derivative of FunctionsExercise 1:Solution: The derivative of f(x) = 3x^2 - 2x + 1 is f'(x) = 6x - 2.Exercise 2:Solution: The derivative of g(x) = 5x^3 + 2x^2 - 4x is g'(x) = 15x^2 + 4x - 4.2.2 Rules of DifferentiationExercise 1:Solution: The derivative of h(x) = sin(x) + cos(x) is h'(x) = cos(x) -sin(x).Exercise 2:Solution: The derivative of i(x) = ln(x^2) is i'(x) = 2/x.IV. Chapter 3: Integration3.1 Indefinite IntegralsExercise 1:Solution: The integral of f(x) = 3x^2 - 2x + 1 is F(x) = x^3 - x^2 + x + C, where C is the constant of integration.Exercise 2:Solution: The integral of g(x) = 5x^3 + 2x^2 - 4x is G(x) = x^4/4 +2x^3/3 - 2x^2/2 + C.3.2 Definite IntegralsExercise 1:Solution: The definite integral of h(x) = sin(x) + cos(x) from 0 to π/2 is ∫[0, π/2] (sin(x) + cos(x)) dx = 2.Exercise 2:Solution: The definite integral of i(x) = ln(x) from 1 to e is ∫[1, e] ln(x) dx = 1.V. ConclusionThis answer key provides students using the Advanced Mathematics English textbook with accurate solutions to exercises, enabling them to verify their work and further enhance their understanding of the subject. By following the provided solutions, students can gain confidence in their problem-solving abilities and excel in the field of mathematics.。

微积分高等数学英文练习题以及答案(1)

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Xi’an Jiaotong-Liverpool University
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微积分高等数学英文练习题以及答案(2)

Exercise 2-1 Concept of Derivative1. The motion of an object along the s -axis follows the law2s t t =+(m). Find:(1) the average speed of the object during the time interval from the 1st second to the 2nd second; 解：2(2)(1)(22)(11)421s s v -==+-+=- (m/sec)(2) the Instantaneous velocity of the object at the 2nd second.解：()()12v t s t t '==+；所以(2)(2)5v s '== (m/sec)2. Compare the following limits with the definition of the derivative and then point out the relation between A and 0()f x '. (Assume that ()0x f ' exists) (1) ()()A xx f x x f x =∆-∆-→∆000lim ；解：()()()0000lim x fx x fx A f x x∆→-∆-'=-=--∆(2) ()A x f n x f n n =⎥⎦⎤⎢⎣⎡-⎪⎭⎫ ⎝⎛+∞→001lim解：()()0001lim1n f x f x n A f x n→∞⎡⎤⎛⎫+- ⎪⎢⎥⎝⎭⎣⎦'==(3) ()()00limh fx h fx h A h→+--=.(Hint:()()()()()()000000f x h f x h f x h f x f x h f x hhh+--+---=-)解：()()()()00000lim →+---⎛⎫=- ⎪⎝⎭h f x h f x f x h f x A h h ()()()()()000000lim 2→+---⎛⎫'=+= ⎪-⎝⎭h f x hf x f x h f x f x h h3. Find 0()lim sin 2→x f x x, if (0)0f = and (0)2f '=.解：00()()(0)lim lim sin 20sin 2→→-=⋅-xx f x f x f xx x x00()(0)lim lim 0sin 21(0)12→→-=⋅-'=⋅=x x f x fxx x f4. Find derivatives of the following functions by using the derivative formula of power functions:(1)y =解：32==y x ，所以311223322-'==y x x(2)y =；解：13-==y x，所以141331133---'=-=-y xx(3)3y x =解：1163355+===y x x x，所以1125161655'==y x x5. Take two points with the abscissa 11=x and 33=x on the parabola 2x y =and draw a secant line through the two points. Find the point on the parabola at which the tangent line to the curve is parallel to this secant line.解：当11=x 时，11y =；当23x =时，29y =。

数学专业英语答案之2.2 几何与三角

2.2 几何与三角词组翻译1.学会institution，建筑师 architect, 机械师 machinist, 制图员draftsman, 测量者surveyor, 木匠carpenter2.点point, 端点endpoint, 线line, 直线straight line, 线段 line segment, 曲线curved line, 折线 broken line, 射线ray , 平面 plane,曲面 curved surface3.立体solid, 柱体cylinder, 立方体cube,球 sphere, 棱锥pyramid,圆锥 cone ,4.圆circle,圆心 center, 直径diameter, 半径radius, 半圆semicircle, 弦chord, 弧arc, 优弧major arc, 劣弧minor arc5.角angle, 边side, 三角形triangle, 直角三角形right triangle,斜边 hypotenuse, 直角边right-angle side6.长度length,宽度 breadth/width,厚度 thickness, 位置position7.几何的geometrical,立体的 three-dimensional , 弯曲的curved,等距离的equidistant ,无限的 infinite8.培养创造力train originality,必须的毅力 necessary perseverance , 提高鉴赏力raise/improve the appreciation ability9.消失了的边界vanishing boundaries/landmarks,有序性和优美感 orderliness and sense of beauty, 几何图形大量存在geometric forms abound in , 定理成立的先决条件a prerequisite to a theorem 汉译英1.许多专家都认为数学是学习其他科学技术的必备基础和先决条件。

2023大学_数学专业英语试题及参考答案

2023数学专业英语试题及参考答案数学专业英语试题一、词汇及短语1. For a long period of the history of mathematics, the centric place of mathematical methods was occupied by the logical deductions “在数学史的很长的时期内，是逻辑推理一直占据数学方法的中心地位”2. An equation is a statement of the equality between two equal numbers or number symbols.equation ：“方程”“等式”等式是关于两个数或数的符号相等的'一种陈述3. In such an equation either the two members are alike, or become alike on performance of the indicated operation. 这种等式的两端要么一样，要么经过执行指定的运算后变成一样。

注“two members”表等号的两端alike 相同的一样的On the performance of …中的“on”引导一个介词短语做状语Either…or…4. is true “成立”5. to more and change the terms移次和变形without making the equation untrue 保持方程同解数学专业英语试题二、句型及典型翻译1. change the terms about 变形2. full of ：有许多的充满的例 The streets are full of people as on a holiday(像假日一样，街上行人川流不息)3. in groups of ten…4. match something against sb. “匹配”例 Long ago ,when people had to count many things ,they matched them against their fingers. 古时候，当人们必须数东西时，在那些东西和自己的手指之间配对。

数学专业英语答案2.3集合论的基本概念

2.3集合论的基本概念单词、词组1.1集set，子集subset，真子集proper subset，全集universal subset，空集void/ empty set，基地集the underlying set 1.2正数positive number，偶数even integer，图形diagram，文氏图V enn diagram，哑标dummy index，大括号brace 1.3可以被整除的be divisible by，两两不同的distinct from each other，确定的definite，无关紧要的irrelevant/inessential 1.4一样的结论the same conclusion，等同的效果equivalent effect，用大括号表示集sets are designated by braces，把这个图形记作A：this diagram is designated by letter A，区别对象to distinguish between objects，证明定理to prove theorems，把结论可视化to visualize conclusions/consequences汉译英2.1由于小于10且能被3整除的正整数组成的集是整数集的子集。

The set consisting of those positive integers less than 10 which are divisible by 3 is a subset of the set of all integers.2.2如果方便，我们通过在括号中列举元素的办法来表示集。

When convenient，we shall designate sets by displaying the elements in braces.2.3用符号￠表示集的包含关系，也就是说，式子A￠B表示A包含于B。

高中英语数学术语练习题30题(带答案)

高中英语数学术语练习题30题(带答案)1. In the field of ______, we often deal with equations like x + 3 = 5.A. geometryB. algebraC. calculusD. statistics答案：B。

解析：algebra（代数）主要涉及方程求解等内容，题目中的方程x + 3 = 5属于代数范畴。

选项A geometry（（几何）主要研究形状、空间等，与方程关系不大。

选项C calculus（（微积分）侧重于极限、导数等概念，与该简单方程不符。

选项D statistics（统计学）主要涉及数据的收集、分析等，与方程无关。

2. The shape of a triangle is studied in ______.A. algebraB. geometryC. trigonometryD. arithmetic答案：B。

解析：geometry（（几何）的研究对象包括三角形等各种形状。

选项A algebra（代数）不专门研究形状。

选项C trigonometry （三角学）虽然与三角形有关，但这里强调的是三角形形状的研究，更属于几何范畴。

选项D arithmetic（（算术）主要是数的基本运算，与三角形形状无关。

3. Which term is related to the study of numbers and their operations?A. GeometryB. AlgebraC. ArithmeticD. Topology答案：C。

解析：Arithmetic（（算术）专注于数字及其运算，如加、减、乘、除等。

选项A Geometry（（几何）侧重于形状和空间。

选项B Algebra（（代数）更多是方程等概念。

选项D Topology（（拓扑学）是研究几何图形在连续变形下不变的性质，与单纯的数字运算无关。

4. A line segment is an important concept in ______.A. algebraB. geometryC. calculusD. probability答案：B。

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2.1 数学、方程与比例（1）数学来源于人类的社会实践，包括工农业的劳动，商业、军事和科学技术研究等活动。

Mathematics comes from man’s social practice, for example, industrial and agricultural production, commercial activities, military operations and scientific and technological researches.（2）如果没有运用数学，任何一个科学技术分支都不可能正常地发展。

No modern scientific and technological branches could be regularly developed without the application of mathematics.（3）符号在数学中起着非常重要的作用，它常用于表示概念和命题。

Notations are a special and powerful tool of mathematics and are used to express conceptions and propositions very often.（4）17 世纪之前，人们局限于初等数学，即几何、三角和代数，那时只考虑常数。

Before 17th century, man confined himself to the elementary mathematics, i. e. , geometry, trigonometry and algebra, in which only the constants were considered.（5）方程与算数的等式不同在于它含有可以参加运算的未知量。

Equation is different from arithmetic identity in that it contains unknown quantity which can join operations.（6）方程又称为条件等式，因为其中的未知量通常只允许取某些特定的值。

Equipment is called an equation of condition in that it is true only for certain values of unknown quantities in it.（7）方程很有用，可以用它来解决许多实际应用问题。

Equations are of very great use. We can use equations in many mathematical problems.（8）解方程时要进行一系列移项和同解变形，最后求出它的根，即未知量的值。

To solve the equation means to move and change the terms about without making the equation untrue, until the root of the equation is obtained, which is the value of unknown term.2.2 几何与三角（1）许多专家都认为数学是学习其他科学技术的必备基础和先决条件。

Many experts recognize that mathematics is the necessary foundation and prerequisite of studying other science technology.（2）西方国家的专家认为几何起源于巴比伦和埃及人的土地测量技术，其实中国古代的数学家对几何做了许多出色的研究。

The western experts think that geometry had its origin in the measurements by the Babylonians and Egyptians of their lands. Infect, the ancient Chinese mathematicians made much remarkable study for geometry.（3）几何的学习使学生在思考问题时更周密和审慎，他们将不会盲目接受任何结论。

In studying geometry, the student is taught to think clearly and critically and he is led away from the practice of blind acceptance of any conclusions.（4）数学培养学生的分析问题的能力，使他们能应用毅力、创造性和逻辑推理来解决问题。

Studying mathematics can develop the students’ ability to analyze problems and utilizing perseverance, originality, and logical reasoning in solving the problem.（5）几何主要不是研究数，而是形，例如三角形，平行四边形和圆，虽然它也与数有关。

Geometry mainly studies hot numbers but figures such as triangles, parallelograms and circles, though it is related with numbers.（6）一个立体（图形）有长、宽和高；面（曲面或平面）有长和宽，但没有厚度；线（直线或曲线）有长度，但既没有宽度，也没有厚度；点只有位置，却没有大小。

A solid (figure) has length, width and height. A surface (curved surface or plane surface) has length and width, but no thickness. A line (straight line or curved line) has length, but no width and thickness. A point has position, but no dimension.（7）射线从某个点出发无限延伸；两条从同一点出发的射线构成了角。

这两条射线称为这个角的两边，当这两边位于同一直线上且方向相反时，所得的角是平角。

A ray starts from a point and extends infinitely far. Two rays starting from one point form an angle, which are called two edges of the angle. When two edges lie in the same line and have opposite direction named plane angle.（8）平面上的闭曲线当其中每一点到一个固定点的距离均相等时叫做圆。

这个固定点称为圆心，经过圆心且其两个端点在圆周上的线段称为这个圆的直径，直径的一半叫做半径，这条曲线的长度叫做周长。

A circle is a closed curve lying in one plane, all points of which are equidistant from a fixed point. The fixed point called the center. A diameter of a circle is a line segment through the center of the circle with endpoints on the circle. Half of the diameter is called radius. The length of the circle is called circumference.2.3 集合论的基本概念（1）由小于10 且能被3 整除的正整数组成的集是整数集的子集。

The set consisting of those positive integers less than 10 which are divisible by 3 is a subset of the set of all integers.（2）如果方便，我们通过在括号中列举元素的办法来表示集。

When convenient, we shall designate sets by displaying the elements inbraces.（3）用符号⊆表示集的包含关系，也就是说，式子 A ⊆ B 表示A 包含于B。

The relation ⊆is referred to as set inclusion; A⊆B means that A is contained in B.（4）命题A ⊆ B 并不排除B ⊆ A 的可能性。

The statement A⊆B does not rule out the possibility that B⊆A.（5）基础集可根据使用场合不同而改变。

The underlying set may vary from one application to another according to using occasions.（6）为了避免逻辑上的困难，我们必须把元素x 与仅含有元素x 的集{x}区别开来。

To avoid logical difficulties, we must distinguish between the element x and the set {x} whose only element is x.（7）图解法有助于将集合之间的关系形象化。

Diagrams often help using visualize relationship between sets.（8）定理的证明仅仅依赖于概念和已知的结论，而不依赖于图形。

The proofs of theorems rely only on the definitions of the concepts and known result, not on the diagrams.2.4 整数、有理数与实数整数（1）严格说，这样描述整数是不完整的，因为我们并没有说明“依此类推”或“反复加1” 的含义是什么。

数学专业英语习题答案