英文版高一数学复习题(含答案)
高一英语高等数学基础概念单选题40题
高一英语高等数学基础概念单选题40题1.She has a large ______ of books.A.collectionB.numberC.groupD.amount答案:A。
“collection”表示“收藏品、收集物”,在这里指大量的书籍收藏;“number”通常修饰可数名词,后面应该跟可数名词复数,而“books”虽然是可数名词复数,但这里说的是整体的书籍收藏,不是单纯的数量;“group”表示“组、群”,不符合语境;“amount”通常修饰不可数名词,“books”是可数名词复数。
2.His speech was full of ______ words.A.bigB.longC.floweryD.high答案:C。
“flowery”表示“辞藻华丽的”,符合语境;“big”表示“大的”,不合适;“long”表示“长的”,与题意不符;“high”表示“高的”,在这里不恰当。
3.The artist used bright ______ in his painting.A.colorsB.picturesD.lines答案:A。
“colors”表示“颜色”,画家在画中使用明亮的颜色符合逻辑;“pictures”表示“图片”,不太符合;“shapes”表示“形状”,不是题干强调的重点;“lines”表示“线条”,也不太符合题意。
4.She has a sweet ______.A.voiceB.soundC.noiseD.music答案:A。
“voice”通常指人的嗓音;“sound”泛指各种声音;“noise”表示噪音;“music”表示音乐。
这里说她有甜美的嗓音,所以选A。
5.He is very ______ about his work.A.carefulB.carelessC.careD.carefully答案:A。
“careful”表示“细心的”,符合语境;“careless”表示“粗心的”,与题意不符;“care”是动词或名词,在这里不合适;“carefully”是副词,题干中需要形容词来修饰人。
(完整版)英文数学题(1)
(完整版)英文数学题(1)1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2010?2、In a magic square the sum of the numbers in each row, in each diagonal and in each column are equal. In this magic square the value of x is:3、If half of a number is 30, then three-quarters of that number is____.4、The sum of the digits of the following product999×5555、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.6、Jack was trying to tessellate regular pentagons. He managed the following figure.The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagram below is 36 cm2, the area of the whole hexagon in cm2 is_____.8、In what follows, □and Δare different numbers.When 503 is divided by □the remainder is 20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □x Δthe remainder is_____.9、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst player's twin (who is one of the four players) and thebest player are of opposite sex.The worst player and the best player are of the same age.Who cannot be the worst player(s)?A) brother only B) daughter onlyC) son and daughter only D) lady and daughter onlyE) lady only10、If you continue the given number pattern, in what row and in what position in that row will the number 320 be?1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.参考答案:1、Wednesday2、123、454、27(求数位上上的数字之和)5、28=9+9+10,因此答案为8106、36度7、1088、503-20=483 483=3×7×23=21×23,因此□x Δ=483,因此此题余数是10.9、D 10、25,201、Did you know? In the decimal number system (base 10) ten different digits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1.Which one of the following numbers is not a valid number in theoctal number system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1243、The number of diagonals that can be drawn in a regular polygon with twenty sides (icosagon) is_____.4、If a and b are integers, 10Ä3=1,152Ä7=3, and then 379Ä6 is equal to_____.5、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.6、The greatest number of Mondays which can occur in 45 consecutive days is____7、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.8、Three girls A, B and C run in a 100 m race. When A finishes,B is 10 m behind A and when B finishesC is 20 m behind B. How far in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed)9、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.10、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three?[Remember the weights may be placed on either side]参考答案:1、A 考察我们学过的简单的进制问题,显然8进制中没有8出现2、B 用排除法3、170 找规律,公式为n×(n-3)÷24、1 定义新运算,就是求379÷6的余数。
高一英语数学逻辑思维训练单选题30题
高一英语数学逻辑思维训练单选题30题1.There are 10 apples and 5 oranges. What's the total number of fruits?A.15B.20C.25D.30答案:A。
本题考查简单的数学加法运算。
10 apples 和5 oranges,总数是10+5=15。
选项B、C、D 分别是错误的数字,与题目中的数学逻辑不符。
2.Tom has 8 pencils. He gives 3 pencils to Jerry. How many pencils does Tom have now?A.5B.6C.7D.4答案:A。
考查减法运算。
Tom 原本有8 支铅笔,给了Jerry 3 支,8-3=5。
选项B、C、D 的数字与题目中的数学逻辑不对应。
3.There are 12 students in a class. If 4 new students join the class, how many students are there in total?A.16B.18C.20D.14答案:A。
考查加法运算。
原本有12 个学生,4 个新学生加入,12+4=16。
选项B、C、D 的数字与题目中的数学逻辑不符。
4.Lily has 15 flowers. She gives away 8 flowers. How many flowers does she have left?A.7B.6C.8D.9答案:A。
考查减法运算。
15 朵花拿走8 朵,15-8=7。
选项B、C、D 的数字与题目中的数学逻辑不对应。
5.There are 20 books on the shelf. 5 books are taken away. How many books are left on the shelf?A.15B.14C.16D.18答案:A。
考查减法运算。
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。
高一数学英文考试卷
高一数学英文考试卷High School Mathematics Exam for Grade 10 - English VersionInstructions:- Answer all questions in English.- Show all your working out in your answer sheet.- Use the back of the page if necessary.Section A: Multiple Choice Questions (20 marks)1. What is the value of \( x \) in the equation \( 3x + 5 =20 \)?A) 3B) 4C) 5D) 62. The sum of two numbers is 10. If one number is 4, what is the other number?A) 6B) 5C) 4D) 33. Which of the following is not a quadratic equation?A) \( x^2 + 3x + 2 = 0 \)B) \( 2y^2 - 3y + 1 = 0 \)C) \( 5z + 7 = 0 \)D) \( 4w^2 + 6w + 2 = 0 \)4. The graph of the function \( f(x) = x^2 \) is:A) A straight lineB) A parabola opening upwardsC) A parabola opening downwardsD) A hyperbola5. What is the slope of the line represented by the equation \( y = 2x + 3 \)?A) 2B) 3C) -2D) -3... (Continue with 15 more multiple choice questions) ...Section B: Short Answer Questions (30 marks)1. Simplify the expression \( \frac{3x^2 - 7x + 2}{x - 1} \) by factoring.2. Solve the system of equations:\[\begin{cases}x + y = 5 \\2x - y = 1\end{cases}\]3. Find the vertex of the parabola given by the equation \( y= -3(x - 2)^2 + 5 \).4. Convert the decimal 0.75 to a fraction in simplest form.5. Determine the equation of the line that passes through the points (2, 3) and (-1, -2).... (Continue with 5 more short answer questions) ...Section C: Long Answer Questions (50 marks)1. A rectangular garden is to be enclosed with a fence. If the length of the garden is 10 meters more than twice its width, and the perimeter is 56 meters, find the dimensions of the garden.2. A company produces two types of widgets. The cost to produce one widget of type A is $3, and the cost to produce one widget of type B is $5. If the company has a budget of $250 to spend on production and they want to produce at least 20 widgets of type A, how many of each type should they produce to minimize costs?3. A ball is thrown vertically upwards with an initial velocity of 20 meters per second. The height \( h \) of the ball after \( t \) seconds can be modeled by the equation\( h(t) = -5t^2 + 20t \). Find the time it takes for the ball to reach its maximum height and what that height is.4. A sequence is defined by the recursive formula \( a_n =4a_{n-1} - 3 \) with the first term \( a_1 = 1 \). Find thefirst 5 terms of the sequence.5. Prove that the square of any odd integer can be expressed as the sum of two consecutive even numbers.... (Continue with 5 more long answer questions) ...Section D: Essay Questions (Bonus - 10 marks)1. Discuss the importance of mathematical literacy in everyday life and how it can be beneficial in various professions.2. Explain how mathematical models are used in predicting natural phenomena, such as weather patterns or population growth.End of ExamPlease ensure you have answered all questions and handed in your completed answer sheet. Good luck!。
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20分)1. What is the value of \( x \) in the equation \( 2x + 5 =17 \)?A. 3B. 6C. 8D. 102. If the perimeter of a rectangle is 24 cm and its length is8 cm, what is the width?A. 4 cmB. 6 cmC. 8 cmD. 10 cm3. The sum of two numbers is 15 and their difference is 5. What is the larger number?A. 5B. 7C. 10D. 154. What is the area of a triangle with a base of 10 cm and a height of 5 cm?A. 25 cm²B. 30 cm²C. 50 cm²D. 100 cm²5. If a car travels at a speed of 60 km/h for 2 hours, howfar does it travel?A. 60 kmB. 90 kmC. 120 kmD. 150 km6. The product of two numbers is 36. If one number is 4, what is the other number?A. 6B. 8C. 9D. 127. What is the value of \( y \) in the equation \( y - 3 = 12 \)?A. 9B. 10C. 15D. 188. The average of three numbers is 10. If two of the numbers are 8 and 12, what is the third number?A. 10B. 12C. 14D. 169. If 20% of a number is 100, what is 60% of the same number?A. 300B. 400C. 500D. 60010. The ratio of boys to girls in a class is 3:2. If thereare 24 girls, how many boys are there?A. 18B. 24C. 36D. 48二、填空题(每题3分,共15分)11. Solve the equation \( 3x - 7 = 14 \). The value of \( x \) is _______.12. The circumference of a circle is \( 2\pi r \), where \( r \) is the radius. If the circumference is 44 cm, the radiusis _______.13. If the area of a square is 64 cm², the length of eachside is _______.14. The volume of a cube is given by \( V = s^3 \), where\( s \) is the side length. If the volume is 125 cm³, theside length is _______.15. The sum of three consecutive even numbers is 48. The middle number is _______.三、简答题(每题5分,共30分)16. A rectangular garden is 50 meters long and 30 meters wide. Calculate the area of the garden.17. A company produces 300 units of a product every day. If each unit sells for $10, calculate the daily revenue.18. If a car decreases its speed by 20 km/h, its travel time for a certain distance increases by 10 minutes. If theoriginal speed was 60 km/h, what is the distance?19. A school has 480 students. If 40% of the students are in the science club, how many students are in the science club?20. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm.Is it a right triangle? Explain why or why not.四、解答题(每题10分,共35分)21. A ladder placed against a wall makes a 75° angle withthe ground. If the foot of the ladder is 4 meters away fromthe wall, how long is the ladder?22. A bank account earns simple interest. If $2000 is deposited and the interest rate is 5% per annum, calculatethe total amount after 3 years.23. A manufacturer produces two types of products: Type A and Type B. The profit from Type A is $5 per unit, and from TypeB is $10 per unit. If the manufacturer produces 100 units of Type A and 200 units of Type。
高一英语高等数学基础概念练习题40题
高一英语高等数学基础概念练习题40题1.She has a beautiful _____.A.voiceB.soundC.noiseD.whisper答案解析:A。
“voice”通常指人的嗓音;“sound”泛指各种声音;“noise”是噪音;“whisper”是低语声。
这里说她有美丽的,应该是嗓音,所以选A。
2.The book is very _____.A.interestingB.interestedC.interestD.interestingly答案解析:A。
“interesting”表示“令人感兴趣的”,通常修饰物;“interested”表示“感兴趣的”,通常修饰人;“interest”是名词或动词;“interestingly”是副词。
这里书很有趣,修饰书用“interesting”,所以选A。
3.He is a _____ student.A.hard-workingB.work-hardC.hard-workD.working-hard答案解析:A。
“hard-working”是合成形容词,表示“勤奋的”;“work-hard”和“working-hard”不是正确的表达;“hard-work”是名词短语。
这里说他是一个勤奋的学生,用“hard-working”,所以选A。
4.There are many _____ in the park.A.peopleB.peoplesC.personD.persons答案解析:A。
“people”表示“人,人们”,是集合名词,本身就是复数形式;“peoples”表示“民族”;“person”是个体名词,单数形式;“persons”是“person”的复数形式,但通常较少使用。
这里说公园里有很多人,用“people”,所以选A。
5.The food tastes _____.A.goodB.wellC.badlyD.beautifully答案解析:A。
高一数学思维英语阅读理解25题
高一数学思维英语阅读理解25题1<背景文章>Mathematicians throughout history have made indelible contributions to the development of human thought. One of the most renowned mathematicians is Euclid. Euclid is known as the father of geometry. His work "Elements" laid the foundation for the study of geometry for centuries to come. In "Elements", Euclid presented a systematic and logical approach to geometry, starting from a few basic axioms and deducing a vast number of theorems.Another great mathematician is Archimedes. Archimedes made significant contributions to mathematics and physics. He is famous for his discovery of the principle of buoyancy. Archimedes also made important contributions to the calculation of areas and volumes. His methods were innovative and ahead of his time.Gauss is also a remarkable figure in the history of mathematics. Gauss is often referred to as the prince of mathematicians. He made fundamental contributions to many areas of mathematics, including number theory, geometry, and probability theory. Gauss's work on number theory, in particular, is highly regarded and has had a profound impact on the field.These mathematicians and many others have shaped the course ofmathematics and have had a lasting influence on our understanding of the world.1. Euclid is known as the father of ___.A. algebraB. geometryC. calculusD. trigonometry答案:B。
高一英语数学逻辑思维训练单选题80题(答案解析)
高一英语数学逻辑思维训练单选题80题(答案解析)1.There are five apples and three oranges. How many fruits are there in total?A.SevenB.EightC.NineD.Ten答案:B。
选项A 是七,不符合苹果和橘子总数。
选项B 是八,五个苹果加三个橘子总数是八。
选项C 是九,不正确。
选项D 是十,也不符合。
2.If a book costs $5 and a pen costs $2. How much do two books and three pens cost?A.$16B.$18C.$19D.$20答案:C。
一本book5 美元,两本就是10 美元;一支pen2 美元,三支就是6 美元,总共16 美元。
选项 A 是十六,符合计算结果。
选项B 是十八,错误。
选项C 是十九,错误。
选项D 是二十,错误。
3.There are ten students in a class. Five students like math and three students like science. How many students like either math or science?A.SevenB.EightC.NineD.Ten答案:B。
喜欢数学的五人加上喜欢科学的三人,但是有部分同学可能既喜欢数学又喜欢科学,所以喜欢数学或科学的人数小于等于八,选项B 八符合。
选项 A 是七,错误。
选项C 是九,错误。
选项D 是十,错误。
4.If three times a number is twelve. What is the number?A.ThreeB.FourC.FiveD.Six答案:B。
设这个数是x,3x = 12,x = 4。
选项 A 是三,错误。
选项B 是四,正确。
选项C 是五,错误。
选项D 是六,错误。
5.Two plus three multiplied by four is equal to?A.TenB.FourteenC.SixteenD.Eighteen答案:B。
英语高考数学试卷及答案
Section I: Listening Comprehension (25%)Part A: Short Conversations (5 questions, 5 points each)1. What is the man's problem?A. He can't find his wallet.B. He is late for work.C. He needs to buy a new phone.D. He lost his keys.2. What does the woman suggest the man do?A. Take a taxi.B. Wait for the bus.C. Walk to the office.D. Call his boss.3. How much is the shirt on sale for?A. $30.B. $40.C. $50.D. $60.4. What time does the train leave?A. 9:00 am.B. 10:00 am.C. 11:00 am.D. 12:00 pm.5. What is the woman's profession?A. Teacher.B. Nurse.C. Lawyer.D. Engineer.Part B: Long Conversations (5 questions, 5 points each)6. What is the main topic of the conversation?A. Travel plans.B. Health issues.C. Education.D. Career choices.7. Why does the man want to study abroad?A. To improve his English.B. To gain more work experience.C. To learn about different cultures.D. To earn more money.8. What are the woman's concerns about studying abroad?A. Language barriers.B. Cultural differences.C. Financial difficulties.D. Health problems.9. How does the woman plan to overcome these concerns?A. By taking language courses.B. By living with a local family.C. By saving money.D. By joining a study group.10. What advice does the woman give to the man?A. To be patient and persistent.B. To focus on his studies.C. To travel as much as possible.D. To seek help from his teachers.Section II: Use of English (15%)Part A: Vocabulary (10 questions, 10 points each)11. Choose the word that best completes the sentence.A. AdaptB. AdaptedC. AdaptingD. Adaptation12. Choose the word that best completes the sentence.A. CanceledB. CancelC. CancellationD. Canceledly13. Choose the word that best completes the sentence.A. AttitudeB. AttitudesC. AttitudinallyD. Attitudinally14. Choose the word that best completes the sentence.A. BenefitB. BenefitingC. BenefitedD. Beneficial15. Choose the word that best completes the sentence.A. ClarifyB. ClarifiedC. ClarifyingD. ClarificationPart B: Grammar (5 questions, 5 points each)16. Choose the correct form of the verb.A. I am going to __________ (be) late for the meeting.B. She __________ (go) to the store yesterday.C. They __________ (do) their homework last night.D. He __________ (have) a good time at the party.17. Choose the correct form of the verb.A. She __________ (be) a teacher for ten years.B. He __________ (go) to the gym every morning.C. They __________ (do) their best to win the game.D. I __________ (have) a lot of friends.18. Choose the correct form of the verb.A. They __________ (go) to the movies last night.B. She __________ (be) in the library.C. We __________ (do) our homework.D. You __________ (go) to the party?19. Choose the correct form of the verb.A. I __________ (do) my homework now.B. She __________ (be) a doctor.C. They __________ (go) to school.D. He __________ (have) a lot of friends.20. Choose the correct form of the verb.A. They __________ (do) their homework.B. She __________ (be) a teacher.C. I __________ (go) to the gym every morning.D. He __________ (have) a lot of friends.Section III: Reading Comprehension (30%)Passage 1 (5 questions, 5 points each)Read the following passage and answer the questions below.The importance of exercise cannot be overstated. Regular physicalactivity is essential for maintaining good health and preventing diseases. According to the World Health Organization (WHO), at least 150 minutes of moderate-intensity aerobic exercise or 75 minutes ofvigorous-intensity aerobic exercise per week is recommended for adults.Exercise has numerous benefits, including improving cardiovascular health, reducing the risk of chronic diseases such as heart disease, stroke, and diabetes, and improving mental health. Regular exercise canalso help with weight management, improve sleep quality, and boost overall well-being.However, despite the well-known benefits of exercise, many people still struggle to incorporate physical activity into their daily routine. Some common barriers to exercise include lack of time, lack of motivation, and lack of knowledge about the benefits of exercise.Questions:21. What is the main idea of the passage?A. Exercise is beneficial for physical and mental health.B. Regular exercise is essential for maintaining good health.C. Exercise can help prevent chronic diseases.D. Lack of exercise is a significant barrier to good health.22. According to the passage, how many minutes of exercise per week is recommended for adults?A. 30 minutesB. 60 minutesC. 90 minutesD. 150 minutes23. What are some of the benefits of regular exercise mentioned in the passage?A. Improved cardiovascular health and reduced risk of chronic diseases.B. Improved mental health and better sleep quality.C. Weight management and overall well-being.D. All of the above.24. What are some common barriers to exercise mentioned in the passage?A. Lack of time and motivation.B. Lack of knowledge about the benefits of exercise.C. Physical disabilities and health conditions.D. All of the above.25. What is the author's main purpose in writing this passage?A. To encourage people to exercise regularly.B. To inform readers about the benefits of exercise.C. To discuss the barriers to exercise.D. To compare different types of exercise.Section IV: Writing (20%)Task 1: Short Answer Questions (10 points)26. What is the main idea of the following sentence?"Regular exercise is essential for maintaining good health and preventing diseases."27. What is the purpose of the following sentence?"According to the World Health Organization (WHO), at least 150 minutes of moderate-intensity aerobic exercise or 75 minutes of vigorous-intensity aerobic exercise per week is recommended for adults."Task 2: Writing (10 points)Write a short essay on the following topic:"Exercise: Its Benefits and Challenges"You should write at least 100 words. Use the following outline as a guide:- Introduction: Briefly introduce the topic of exercise and its importance.- Body: Discuss the benefits of regular exercise, such as improved physical and mental health, weight management, and disease prevention.- Challenges: Identify some of the challenges people face when trying to incorporate exercise into their daily routine.- Conclusion: Summarize the main points and emphasize the importance of exercise in maintaining good health.。
高一数学数列英语阅读理解20题
高一数学数列英语阅读理解20题1<背景文章>An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic sequence with a common difference of 3.The general term formula of an arithmetic sequence is given by \(a_n = a_1 + (n - 1)d\), where \(a_n\) is the \(n\)th term, \(a_1\) is the first term, \(n\) is the number of terms, and \(d\) is the common difference.The sum of the first \(n\) terms of an arithmetic sequence can be found using the formula \(S_n = \frac{n}{2}(a_1 + a_n)\).Let's take an example. Suppose we have an arithmetic sequence with the first term \(a_1 = 3\) and a common difference \(d = 4\). To find the 10th term, we use the formula \(a_{10} = 3 + (10 - 1)\times4 = 3 + 9\times4 = 3 + 36 = 39\). To find the sum of the first 10 terms, we first need to find the 10th term as we did above. Then we use the sum formula \(S_{10}=\frac{10}{2}(3 + 39)=\frac{10}{2}\times42 = 210\).Arithmetic sequences have many real-life applications. For instance, in finance, if you save a fixed amount of money every month, the total savings over time form an arithmetic sequence.1. In an arithmetic sequence, the common difference is always ____.A. changingB. constantC. zeroD. undefined答案:B。
高一数学应用英语阅读理解30题
高一数学应用英语阅读理解30题1<背景文章>Mathematics is an essential part of our daily lives. It can be found in various aspects, such as shopping, time management, and even in our hobbies. For example, when we go shopping, we need to calculate the total cost of the items we want to buy. We also need to compare prices to find the best deal. In time management, we use mathematics to calculate how much time we need to complete a task or how long it will take us to reach a destination.Let's take a look at an example of how mathematics is used in shopping. Suppose you want to buy a shirt that costs $25 and a pair of pants that costs $40. You also have a coupon for 20% off your total purchase. How much will you pay in total?To solve this problem, we first need to calculate the total cost of the shirt and pants. $25 + $40 = $65. Then, we need to calculate the discount. 20% of $65 is $13. So, the total cost after the discount is $65 - $13 = $52.Another example of how mathematics is used in daily life is in cooking. When we follow a recipe, we need to measure ingredients accurately. We also need to calculate the cooking time and temperature to ensure that the food is cooked properly.Mathematics is also important in sports. For example, in basketball, players need to know how to calculate their shooting percentage. They also need to know how to calculate the distance they need to run to get to a certain point on the court.In conclusion, mathematics is everywhere in our daily lives. It helps us make decisions, solve problems, and understand the world around us.1. What is the total cost of the shirt and pants before the discount?A. $52B. $65C. $25D. $40答案:B。
高一英语数学运算单选题50题
高一英语数学运算单选题50题1.Tom has 3 apples and he gets 2 more. How many apples does he have now?A.4B.5C.6D.7答案:B。
本题考查加法运算。
Tom 原本有3 个苹果,又得到2 个,总共是3+2=5 个。
选项A,4 是错误答案;选项C,6 不符合计算结果;选项D,7 也不正确。
2.There are 8 students in the classroom. 3 students leave. How many students are left?A.4B.5C.6D.7答案:B。
本题考查减法运算。
原本有8 个学生,3 个离开,8-3=5。
选项A,4 错误;选项C,6 不对;选项D,7 不符合题意。
3.Mary has 5 pencils. She gives 2 pencils to her friend. How many pencils does Mary have now?A.2B.3D.6答案:B。
考查减法。
Mary 有5 支铅笔,给出去2 支,5-2=3。
选项A,2 错误;选项C,4 不符;选项D,6 不正确。
4.There are 10 books on the shelf. 4 books are taken away. How many books are on the shelf now?A.5B.6C.7D.8答案:B。
考查减法。
10 本书拿走4 本,10-4=6。
选项A,5 错误;选项C,7 不对;选项D,8 不符合。
5.Jack has 7 stickers. He gets 3 more stickers. How many stickers does he have now?A.9B.10C.11D.12答案:B。
考查加法。
Jack 原本有7 张贴纸,又得到3 张,7+3=10。
选项A,9 错误;选项C,11 不符;选项D,12 不正确。
高一英语高等数学基础概念单选题40题
高一英语高等数学基础概念单选题40题1. I always do my homework carefully and try not to make any _____.A.mistakesB.problemsC.troublesD.difficulties答案:A。
“mistakes”表示错误;“problems”通常指问题、难题;“troubles”指麻烦、困境;“difficulties”指困难。
在做作业的场景中,通常说尽量不犯错误,所以选A。
2. In our school, students are encouraged to take part in different kinds of _____.A.activitiesB.exercisesC.practicesD.trainings答案:A。
“activities”表示活动;“exercises”指练习;“practices”指实践;“trainings”指训练。
学校里鼓励学生参加的是各种活动,所以选A。
3. The teacher gave us a lot of useful _____ on how to learn English well.A.advicesB.suggestionsC.ideasD.opinions答案:B。
“advice”是不可数名词,没有“advices”这种形式;“suggestions”表示建议;“ideas”指想法;“opinions”指观点。
老师给的关于如何学好英语的应该是建议,所以选B。
4. I'm very tired. I need to have a _____.A.restB.breakC.sleepD.relax答案:A。
“rest”表示休息;“break”通常指课间休息等短暂的间歇;“sleep”指睡觉;“relax”指放松。
这里说很累需要休息,用“rest”更合适,所以选A。
高一数学逻辑英语阅读理解30题
高一数学逻辑英语阅读理解30题1<背景文章>Mathematics is a subject that involves a great deal of logic. In mathematics, a proposition is a statement that can be either true or false. For example, "2 + 2 = 4" is a true proposition, while "1 + 1 = 3" is a false proposition. Logical connectives are used to combine propositions. The most common logical connectives are "and", "or", and "not". For instance, if we have two propositions P and Q, "P and Q" is true only when both P and Q are true. "P or Q" is true when at least one of P and Q is true. "Not P" is true when P is false.Understanding these logical concepts is essential in various areas of mathematics. In geometry, we use logical reasoning to prove theorems. In algebra, we use logical thinking to solve equations and inequalities.Logical thinking also helps us in problem-solving. When faced with a complex problem, we can break it down into smaller, more manageable propositions and use logical connectives to combine them to find a solution.Now let's look at an example. Consider the propositions "The triangle is equilateral" and "The triangle is isosceles". If a triangle is equilateral, then it is also isosceles. So, if the first proposition is true, the second proposition must also be true. However, if a triangle is isosceles, it is notnecessarily equilateral.In conclusion, logical concepts play a crucial role in mathematics and help us understand and solve problems more effectively.1. A proposition is a statement that can be either true or ___.A. rightB. falseC. correctD. accurate答案:B。
高一英语数学概念表达完形填空题30题
高一英语数学概念表达完形填空题30题1In mathematics class, students are learning about various concepts. Geometry is a fascinating subject that deals with shapes and figures. The __1__ of a circle is an important concept. It is the distance around the circle. Another important concept is the area of a rectangle. The area is found by multiplying the length and the width. In algebra, students learn about equations and variables. A variable is a symbol that represents an unknown __2__.1. A. circumference B. diameter C. radius D. center答案:A。
“The circumference of a circle is the distance around the circle.”( 圆的周长是圆周围的距离。
)diameter( 直径)、radius( 半径)、center 圆心)都不符合题意。
本题考查名词辨析。
2. A. number B. letter C. word D. symbol答案:A。
“A variable is a symbol that represents an unknown number.” 变量是代表一个未知数字的符号。
)letter 字母)、word 单词)、symbol 符号)在此处不合适。
高一英语数学概念表达单选题30题
高一英语数学概念表达单选题30题1.The sum of two numbers is 15. One number is 7. What is the other number?A.6B.7C.8D.9答案:C。
A 选项是6,7+6=13 不等于15;B 选项是7,7+7=14 不等于15;C 选项是8,7+8=15,符合题意;D 选项是9,7+9=16 不等于15。
2.If a number is multiplied by 5 and the result is 30. What is the number?A.4B.5C.6D.7答案:C。
A 选项4,4×5=20 不等于30;B 选项5,5×5=25 不等于30;C 选项6,6×5=30,符合题意;D 选项7,7×5=35 不等于30。
3.The difference between two numbers is 3. The larger number is 8. What is the smaller number?A.4B.5C.6D.7答案:B。
A 选项4,8-4=4 不等于3;B 选项5,8-5=3,符合题意;C 选项6,8-6=2 不等于3;D 选项7,8-7=1 不等于3。
4.A number is divided by 4 and the quotient is 6. What is the number?A.20B.22C.24D.26答案:C。
A 选项20,20÷4=5 不等于6;B 选项22,22÷4=5.5 不等于6;C 选项24,24÷4=6,符合题意;D 选项26,26÷4=6.5 不等于6。
5.The product of two numbers is 48. One number is6. What is the other number?A.7B.8C.9D.10答案:B。
高一英语高等数学基础概念单选题40题
高一英语高等数学基础概念单选题40题1. I have a lot of homework to do. It's really a(n) ____ task.A. easyB. difficultC. interestingD. boring答案:B。
“easy”是容易的;“difficult”是困难的;“interesting”是有趣的;“boring”是无聊的。
根据题干有很多作业要做,可知是困难的任务。
2. My English teacher is very ____. She always helps us patiently.A. strictB. kindC. lazyD. busy答案:B。
“strict”是严格的;“kind”是善良的;“lazy”是懒惰的;“busy”是忙碌的。
老师总是耐心帮助我们,所以是善良的。
3. I like playing basketball. It's a very ____ sport.A. dangerousB. excitingC. safeD. slow答案:B。
“dangerous”是危险的;“exciting”是令人兴奋的;“safe”是安全的;“slow”是缓慢的。
打篮球是令人兴奋的运动。
4. There are many books in the library. They are very ____.A. expensiveB. cheapC. usefulD. beautiful答案:C。
“expensive”是昂贵的;“cheap”是便宜的;“useful”是有用的;“beautiful”是漂亮的。
图书馆的书是有用的。
5. I want to buy a new bag. It should be ____ and good-looking.A. bigB. smallC. strongD. weak答案:C。
- 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。
1.If 3x – 5 = 16, then x =A.–7B.311C.4D.7E.182.If x x 479+=, what is the value of x?A.321B.7C.14D.21E.35Note: Figure not drawn to scale.3.In the figure above, what is the value of x?A.20B.50C.60D.80E.1404.At a flooring center, you can purchase carpet in one of five styles and in one of 10 colors. How many different style-color combinations are possible at this flooring center?A.15B.36C.40D.45E.505.In the xy -plane, a circle has its center at pointC (0, 0) and contains the point P (–3, 4). Under the translation that moves point C to (–2, 3), where will point P be located after this translation?A.(–1, 1)B.(1, –1)C.(–3, 2)D.(–4, 5)E.(–5, 7)6.If f x x x 2532=-+^^h h, what is the value of f (5)? A.0B.151C.252D.353E.47.According to the data in the graph above, between which two consecutive days of the week was the percent increase in temperature the greatest?A.Sunday to Monday B.Monday to Tuesday C.Wednesday to Thursday D.Thursday to Friday E.Friday to Saturday30°20°10°60°70°50°40°T e m p e r a t u r e (°F )M O NT U E SW E DT H U RF R IS A T S UN8.An employee had to take a pay cut of 20%. Awhile later, she received a pay raise of 25%. Hernew salary after the pay raise was what percentof her salary before the pay cut?A.45%B.55%C.80%D.95%E.100%9.If the average (arithmetic mean) of x, 6, 10, 12, 5x,and 10 is equal to 3x,what is the value of x?A.2B.3C.4D.5E.610.3x– 2y= –12 and x+ 3y= 7For what values of x and y are the equations above both true?A.x= –6, y= –3B.x= 4, y= 1C.x= –1, y29=D.x= –2, y= 3E.x= 10, y= –111.It takes Lisa h hours to walk a distance of m miles.At this same rate, how many hours will it take herto walk a distance of d miles?A.h dmB.m dhC.d mhD.mh dE.hd m 12.If the ratio of the number of boys to the number ofgirls in a class is 43, which of the following couldNOT be the number of students in this class?A.21B.28C.33D.42E.4913.The ratio of the length of a rectangle to its widthis5:3. If the length is 10, what is the area of therectangle?A.6B.15C.16D.32E.6014.If x=c in terms of x, b, and m?A.m2x2– b2B.(x– m+ b)2C.xm b+D.(mx + b)2E.bx m22-^h15.The minimum speed on a given stretch of freewayis 45 mph, and the maximum speed is 65 mph.Which of the following inequalities could be used to decided if a motorist driving at a rate of r mphis within legal limits?A.r4510#-B.r5510#-C.r6510#-D.<r5510-E.r1055#-16.Above is the graph of y = f(x).Which of the graphs below is that of y = f (x + 1) + 3?A.B.C.E.D.Note: Figure not drawn to scale.17.In the figure above, AB BC=. What is the value of y?A.23-B.32C.2D.6E.1218.If 82x= 44x – 3, what is the value of x?A.41B.1C.3D.4E.6Note: Figure not drawn to scale.19.In the figure above, circles A and B are tangent atC,and line l is tangent to circles A and B at points P and Q respectively. If the radius of circle A is 2and the radius of circle B is 6, what is the lengthof PQ?A.6B.43C.62D.8E.1020. A small rocket is fired into the air from the top ofa tower. Its height h,in feet, after t seconds, isgiven by: h(t)= –16t2+ 64t+ 32. The rocket is 80 feet above the ground twice—once on the way upand then again on the way down. How manyseconds pass between these two times?A.1B.2C.3D.4E.5x1.What is the average (arithmetic mean) of thenumbers 21, 31, and 61?A.221B.61C.31D.21E.1252.1275+=A.87B.76C.73D.103E.2933.If n represents an even integer, which of thefollowing represents an odd integer?A.3n+ 2B.n2+ 3C.(n+ 4)2D.5n– 4E.7n+ n2Note: Figure not drawn to scale.4.In the right triangle above, what is the value of x?A.2B.25(approximately 4.47)C.5D.52(approximately 7.07)E.213(approximately 7.21)5.In the figure above, square ABCD is inscribedwithin circle P.If the area of the circle is 8π, what is the area of the square?A.22B.8C.16D.162E.32Note: Figure not drawn to scale.6.In ᭝ABC above, AB BC=. What is the product of the slopes of the sides of ᭝ABC?A.–2B.–1C.21-D.1E.27.If (x+ m)(x+ n) = x2– 5x– 36, what is the valueof mnm n+?A.94-B.365C.4936x4 6x8.In the figure above, a rectangle is inscribed within a square of side length 4. What is the area of the shaded region?A.16B.10C.6D.32E.2319.The length of a rectangle is decreased by 25%while its width is decreased by 20%. The area ofthe new rectangle is what fraction of the area ofthe original rectangle?10.If x= 4, what is the value ofx y yxy532222-?Note: Figure not drawn to scale.11.In the figure above, point C is the center of thecircle. What is the value of x?12.If x mx m101512++=, what is the value ofxm?13.If 12(m+ n)(c– r) = 72 and 3(m+ n) = 9, what isthe value of c– r?14.The population of bacteria in a culture doublesevery 10 minutes. If the current bacteriapopulation is 1,024, how many minutes ago wasthe bacteria population only 32?15.If the median of a list of seven consecutive oddintegers is 23, what is the difference between thelargest and smallest of these integers?16.The digits 2, 3, 4, 5, and 6 are used to create five-digit numbers that begin and end with an evendigit. If each digit can be used only once in eachof the numbers, how many of these five-digitnumbers can be created?Note: Figure not drawn to scale.17.In the figure above, rectangle ABCD is inscribedin the circle with center at the origin in the xy-plane. Point C with coordinates (3, y) is located onthis circle. If the radius of the circle is 5, what isthe area of rectangle ABCD?18.If the average (arithmetic mean) of five differenttwo-digit positive integers is 20, what is thegreatest possible difference between the largestand the smallest of these five integers?)x1.If m – n = 11, what is the value of 2m – 2n – 7?A.4B.721C.15D.22E.292.If r m 3258=, what is the value of m r ?A.125B.85C.512D.85E.23Note: Figures not drawn to scale.3.In the figures above, ᭝ABC and square MNOP have equal perimeters. What is the length of MP ?A.2B.4C.5D.8E.164.The quantity 5x – 7 is how much larger than the quantity –10 + 5x?A.–17B.–3C.3D.7E.175.If 0 < x < y < 1, which of the following must be positive?A.x – yB.x 2– y 2C.x y 11-D.–(y – x )E.xy 23-6.When a given number is decreased by 5 and thisresult is tripled, the number obtained is 24. What is the given number?A.311B.329C.7D.12E.13Note: Figure not drawn to scale.7.In ᭝ABC above, AB BC =, x = 30, and the length of AC is 8 3. What is the area of ᭝ABC ?A.16B.242C.243D.483E.1448.If the area of a circle is π49, what is itscircumference?A.π25681B.π1681C.23π3BCAx °6C M NOP73AB9.In the xy -plane, a given circle with center at the origin contains the point (–3, 4). Which of the following points is NOT on the given circle?A.(3, –4)B.(0, –5)C.(3, 4)D.(0, 7)E.None of the above points are on the given circle.10.If 0 < x < 1, which of the following gives thecorrect order of x 3, x , and x 1?A.<<x x x13B.<<x x x 13C.<<x x x13D.<<x x x 13E.<<xx x 1311.In the xy -plane, ,75`j is a point on the graph ofthe equation y = x 2+ k. For what positive value of x will y = 7?A.2B.3C.4D.5E.612.If x y //3438=, what is x in terms of y ?A.y 1B.yC.y 2D.y 3E.y 613.If xy 6=, which of the following could NOT bethe value of x + y?A.37B.20C.18D.15E.1314.In the xy -plane, the set of points 5 units from thepoint A (6, 3) lie on a circle with center A and radius 5. What are all the possible points on this circle having an x -coordinate of 9?A.(9, 8) onlyB.(9, 7) and (9, –1)C.(9, 8) and (9, –2)D.(9, –2) onlyE.(9, 7) only15.Rachelle invested $1,000 in an IRA paying 6%per year. The accumulated value of her investment t years later is given by the function A , where A(t) = 1,000(1.06)t . In how many years will Rachelle’s investment be worth $1,191.02?A.1B.2C.3D.4E.516.The length of the longer leg of a right triangle isone less than twice the length of the shorter leg,and the length of the hypotenuse is one more than twice the length of the shorter leg. If the length of the shorter leg is x , which of the following equations could be used to find the value of x ?A.x + (2x – 1) = 2x + 1B.x 2+ (2x – 1)2= (2x – 1)2C.x 2= (2x – 1)2+ (2x + 1)2D.x 2+ (2x – 1)2= (2x + 1)2E.x (2x – 1) = 2x+ 1Scoring Practice Test III Answer Key for Practice Test III Practice Test IIIA1.D2.C3.D4.E5.E6.C7.D8.E9.C10.D11.B12.C13.E14.D15.B16.C17.D18.C19.B20.BPractice Test IIIB1.C2.C3.B4.B5.C6.C7.B8.B9.5310.1112or 1.0911.6512.32or .666 or .66713.214.5015.1216.3617.4818.44Practice Test IIIC1.C2.A3.B4.C5.C6.E7.C8.E9.D10.C11.B12.B13.C14.B15.C16.D。