可汗学院数学题目-32Center,spread,andshapeofdistributions

可汗学院新SAT语法真题下载到目前为止，新版SAT可汗学院官方不断放出更多真题，已经放出了68篇阅读，且之前已经和大家分享过可汗学院新SAT阅读真题，想要下载的同学，请点击：新SAT阅读真题下载（共68篇，且已全）目前可汗学院一共放出41篇新SAT数学真题！想要下载的同学，请点击：新SAT数学真题下载（共41篇）分享了可汗学院的数学和阅读真题后，还有我们的可汗学院SAT语法真题。

截止到6月前，可汗学院一共放出了48套新SAT语法真题，想要吗下载请点击：新SAT语法真题下载（共48篇）（网址：）可汗学院新SAT语法真题（部分）Questions 1-5 are based on the following passage. 1Searching for GuinevereStories of kings and queens have captivated readers for centuries, and arguably, the tales of King Arthur and Guinevere are among the most enchanting. Arthur ruled the kingdom of Camelot, and Guinevere was his queen. But were they real people or fictional characters The debate has continued for centuries. Though many scholars have found evidence that the legendary Arthur was, at the very least, based on a real person who lived in Britain roughly between 450 and （1） 500 CE. They continue to search for the historical identity of Guinevere. Guinevere first appeared as King Arthur’s queen in one of the most widelystudied works of Arthurian literature, （2）The History of the Kings of Britain. This book was written by Geoffrey of Monmouth around 1135 CE. Geoffrey’s historical treatment of the legend is often（3）sited as evidence that the queen of Camelot existed, as the book chronicles the lives of a number of historical rulers.*God help those who help themselves. We help those who trust us. Contact Wechat:satxbs123, help is waiting.1A) NO CHANGEB) 500 CE. ContinuingC) 500 CE, continuingD) 500 CE, they continue2Which choice most effectively combines the sentences at the underlined portionA) The History of the Kings of Britain, and this bookB) The History of the Kings of Britain, whichC) a book called The History of the Kings of Britain,as thisD) a book called The History of the Kings of Britain,and this3A) NO CHANGEB) insightedC) citedD) incitedGuinevere is identified by Geoffrey as a noblewoman of Roman descent who met King Arthur in the court of Duke Cador of Cornwall, where she lived as a ward. (4)In Malory’s portrayal, Guinevere had no real power as a monarch but served as a kind of spiritual leader, providing guidance and moral support to the knights in their roles as defenders of the kingdom. Le Morte d’Arthur was also one of the first works to reference Guinevere’s romance with the knight, Sir many Arth urian scholars know, the distinction between history and literature was blurred in the Middle Ages. Consequently, the true identity of Guinevere may never be known with certainty. Yet regardless of whether Guinevere was real or fictional, her story (5) had endured centuries—and through each retelling, she continues to live on in the imaginations of people around the world.4At this point, the author wants to add a sentence which effectively sets up the portrayal of Guinevere discussed in the rest of the paragraph. Which choice best accomplishes this goalA) Three centuries later, however, Thomas Malory painted a very different portrait of Guinevere in Le Morte d’Arthur.B) Sir Thomas Malory was an English knight and Member of Parliament who also wrote extensively about the history of the British monarchy.C) Many historians believe that the portrayal of Arthur and Guinevere in Sir Thomas Malory’s Le Morte d’Arthur was actually a political commentary on the War of the Roses (1455-1487CE).D) In Le Morte d’Art hur, Sir Thomas Malory describes an idyllic England under King Arthur and Guinevere, which eventually collapses into chaos and political unrest. E. I would be guessing.5A) NO CHANGEB) was enduringC) would have enduredD) has enduredQuestions 1-5 are based on the following passage. 1Cometary Missions: Trajectory for SuccessScientists have been launching cometary missions since 1978. The first one, a joint mission by the European Space Agency, and the National Aeronautics and Space Administration (NAS A), was a “flyby” in which the spacecraft collected data while passing around Comet Giacobini-Zinner. (1)However, the landing of the Rosetta space probe on comet 67P/Churyumov-Gerasemenko in 2014 was different: it marked the first time that a probe landed on a( 2 )comet and giving scientists an unprecedented opportunity to study the surface of a comet. In order to continue this valuable research, additional missions are needed; thus, it is critical that more funding be allocated for this 2014 Rosetta mission provided a rare opportunity for scientists to test a number of hypotheses regarding the composition of (3) comets; the distribution of organic compounds in our solar system and the origins of life on Earth. Unlike other cometary missions, the Rosetta spacecraft contained a probe, Philae, that was able to land on the surface of a comet. *Rack your brain and you don't know Wechat: satxbs123, she can help you!1At this point, the writer wants to add accurate information from the graph. Which choice best accomplishes this goalA) From 1978 to 2014, the number of successful missions increased from 28 percent to 72 percent.B) Before 2014, the majority of attempted cometary missions were considered unsuccessful.C) Between then and 2014, 72 percent of the cometary missions were successful.D) Of the missions attempted since then, 44 percent have been successful.2A) NO CHANGEB) comet, but it gaveC) comet, yet givesD) comet, giving3A) NO CHANGEB) comets, the distribution of organic compounds in our solar system,C) comets, the distribution of organic compounds in our solar system;D) comets; the distribution of organic compounds in our solar system,。

Polynomial factors and graphs1.P(x) =2x3−18xGiven the polynomial function P defined above, what are its zeros?A. {−9,−6,2,3}B. {−9,0,2}C. {−3,3}D. {−3,0,3}Correct Answer: D Difficult Level: 22. Which of the following functions could represent the graph BELOW in the xy-plane, where y=P(x)?A. P(x) =x2+6x+8B. P(x) =x3+6x2+8xC. P(x) =x2−6x+8D. P(x) =x3−6x2+8xCorrect Answer: B Difficult Level: 23. A polynomial has zeros at−9,2, and0. Which of the following could be the polynomial?A. x2−7x−18B.x3+7x2−18xC.x3+7x2−18xD.x3+6x2−25x+18Correct Answer: B Difficult Level: 24. (x−7) (x+5) (2x−3)Given the polynomial above, what are its zeros?A.｛-7, 5, -3｝B. {7, - 5, 3}C. {-7, 5, -3}2D. {7, -5, 3}2Correct Answer: D Difficult Level: 25. 2(x+55) (x−17)Given the polynomial above, what are its zeros?A. x=−55and x=17B. x=−55, x=−2, and x=17C. x=−17and x=55D. x=−17,x=2, and x=55Correct Answer: A Difficult Level: 26. G (z) = (z−1)5−(z−1)4 The polynomial function G is defined above. What is the product of the zeros of G? Fill in the blank:Correct Answer: 2 Difficult Level: 27. The polynomial function P has zeros at3and6. Which of the following could be the definition of P?A. P(x)=x2+9x+18B. P(x)=x2−9x+18C. P(x)=x2+3x+6D. P(x)=x2+6x+3Correct Answer: B Difficult Level: 28. Which of the following equations could represent the graph below in the xy-plane?I. y=(x−3)(x+3)II. y=(x−4)2III. y=(x+2)(x+7)A. ⅠonlyB. ⅡonlyC. I and ⅢonlyD. I,Ⅱand ⅢCorrect Answer: A Difficult Level: 29. h (t)=(t−8)1(t−4)2(t−2)3(t−1)4The polynomial function h is defined above. How many distinct zeros does h have? Correct Answer: 4 Difficult Level: 210.x3 +25x2+50x−1000The polynomial above has(x−5)and (x+10)as factors. What is the remaining factor?A. (x+2)B.(x-2)C. (x+2)D. (x-20)Correct Answer: C Difficult Level: 211.x3+7x2−36The polynomial above has zeros at −6 and 2. If the remaining zero is z, then what is the value of −z?Correct Answer: 3 Difficult Level: 312. The function p is a polynomial of t such that (t−10), (22−t),(t+10), and (20+t)are all factors of p(t). Which of the following could be the graph of y=p(t)in the ty-plane?A. B.C. D.Correct Answer: A Difficult Level: 313. Which of the following graphs appears to represent a polynomial function with a double zero?A. B.C. D.Correct Answer: D Difficult Level: 314.g(x)=x4−4x3+6x2−4x+1The function g is defined above. Given that all zeros of g are integers between−1 and 1inclusive, how many distinct zeros does g have?Correct Answer: 1 Difficult Level: 315.x2−ax+24If one of the zeros of the polynomial above is 8, what is the other zero?Correct Answer: 3 Difficult Level: 316. For a function g, the graph of y=g(x)y=g(x)is shown BELOW. When g(x)is divided by(x+10), the remainder is−20. Which of the following is closest to the remainder when g(x)is divided by(x−10)?A. -28B. -2C. 2D. 28Correct Answer: C Difficult Level: 317. The polynomial function f is defined as f(c)=(c−k)(c2−4c+4) where k is a constant. The value 2 is a zero of f. What is the remainder of f(c) when divided by (c−2)?Correct Answer: 0 Difficult Level: 318. Which of the following graphs in the xy-plane have−3and5as all of their distinct zeros for −6≤x≤6?I. II.III.A. I onlyB. I and II onlyC. II and III onlyD. I. II and III.Correct Answer: B Difficult Level: 319. Given some rational constant a, which polynomial equation could represent the graph BELOW in the xy-plane?A.y=a(x+1)2(x−5)B.y=a(x+1) (x−5)C.y=a(x+1) (2x+1)(x−5)D.y=a(x−1) (x+5)2Correct Answer: B Difficult Level: 320. The equation s=(t+3)2(t+2)(t+1)(t)(t−1) is graphed on the st-plane. What is the product of the t-intercepts of the graph?Correct Answer: 0 Difficult Level: 321. q(v)=(v−8)(v−5)(v−4)(v+5)(v+10)The function q is defined above. If the sum of the zeros of q is s, what is the value of s?Correct Answer: 2 Difficult Level: 322. (x−√3)2(x−√7)Given the polynomial above, what are its zeros?A.x=−√3and x=−√7B. x=√3and x=√7C.x=3and x=√7D.x=−3and x=−√7Correct Answer: B Difficult Level: 323. The graph of the polynomial equation y=α(t) is shown BELOW. Which of the following must be true?** leading coefficient is positive.** sum of the distinct t intercepts is negative.** constant coefficient is positive.** product of the distinct t intercepts is negative.Correct Answer: D Difficult Level: 324. The graph shown at left could represent which of the following equations?A. h=−(b−10)(b−20)(b+20)B. h=(b−10)(b−20)(b+20)C. h=−(b+10)(b−20)(b+20)D. h=(b+10)(b−20)(b+20)Correct Answer: A Difficult Level: 325.x3+7x2−36The polynomial above has zeros at −6 and 2. If the remaining zero is z, then what is the value of−z?Correct Answer: 3 Difficult Level: 326. The polynomial function f is defined as f(m)=(m3−m2−17m−15)(m+1). Whenf(m) is divided by (m+1), what is the remainder?Correct Answer: 0 Difficult Level: 427.p(n)=(n3−12n2+47n−60)(n−4)q(n)=(n+13)(n−4)The functions p and q are defined above. One of the functions has a zero at n=5. What is (p+q)(5)?Correct Answer: 18 Difficult Level: 428. Which of the following could be the equation corresponding to the graph BELOW?A.s=a⋅a⋅a⋅aB.s=(a−1)(a−1)C.s=a⋅a⋅a⋅a⋅aD.s=(a−1)(a−1)(a−1)Correct Answer: C Difficult Level: 429.p=(w−30)(w2+178w+7921)Given that −89 is a double zero of the polynomial equation above, which of the following could be the graph of the equation in the pw-plane?A. B.C. D.Correct Answer: D Difficult Level: 430.ℓ(x)=x4+36x2−10,000The polynomial function ℓ is defined above. What is the remainder of ℓ(x) when divided by (x+10)?Correct Answer: 3600 Difficult Level: 431.g (w)=(w+13)3(w+19)2The polynomial function g is defined above. When g (w) is divided by (w+16), the remainder is r. What is the value of ∣r∣?Correct Answer: 243 Difficult Level: 432. A function p p is defined as p(x) = (x−a)(x−15)(x−20)+15 where a is a constant. Given that p (7)=15, what is the value of a?Correct Answer: 7 Difficult Level: 433. A function w is a defined as w(x)=ax2+bx+c where a, b, and c are constants.If a=3 and w(3)=w(15)=0, then what is the absolute value of b?Correct Answer: 54 Difficult Level: 434. A function s is defined as s(x)=(x−4)(x−5)2. A function h is defined ash(x)=(x−a)s(x). For some constant a, (x−a)3 is a factor of h. What is s(a)?Correct Answer: 0 Difficult Level: 435.12x2+ax+2, what is the other zero?If one of the zeros of the above polynomial is 23Correct Answer: 1Difficult Level: 44** any polynomial function h, the polynomial function g is defined to be g(w)=(w−25 )(w−1)h(w). If h has zeros at 1 and 3 only, what is the sum of the distinct zeros of g?Correct Answer: 36 Difficult Level: 437. The polynomial function f f is defined as f(x)=(x−c1)(x−c2)(x−c3)⋯(x−cn)for some positive integer n. Each of the values c1,c2,c3,,,cn is a real number. The graph of y=f(x)is shown BELOW. Which of the following could be the value of n?A. 0B. 1C. 2D. 3Correct Answer: D Difficult Level: 438. The polynomial function f is defined as f(m)=(m3−m2−17m−15)(m+1). When f(m) is divided by (m+1), what is the remainder?Correct Answer: 0 Difficult Level: 4。

美国“高考”SAT考试的数学题数学第一部分时间(25分钟）16个问题说明：这部分包含有两种类型的问题。

你将有25分钟时间来完成他们.对于1-8，在所给选项中选出一个最佳答案，然后再答题卡上填上相应的圆圈，你可以使用任何可用的草稿纸空间。

注释：1、可以使用计算器。

2、所有使用的数字均为实数。

3、在测试中，问题中所提供的数字或图表都包含一定的信息，这对于解题很有帮助。

所有图表都是比较准确的,除非在某些具体问题中，图表没有按比例绘制。

所有数字都呈现于平面上，除非另有说明。

4、除非另有规定,对于任何函数f 的值域都是所有实数x 的集合，并使得f（x) 是实数。

可能用到的公式:1、If 4（t+u）+ 3 =19，then t+u=如果4（t+u）+ 3 =19, 那么t+u=A 3B 4C 5D 6E 72、如图，三条直线相交于一点。

如果f=85，e=25，那么a 的值是多少?A 60B 65C 70D 75E 853、如果玛丽开车行驶n 英里用了t 小时，那么下列哪个可以表示她行驶的平均速度，英里/小时?A n/tB t/nC 1/ntD ntE n²t4、如果a 是一个奇数，b 是一个偶数，那么选项中哪一个是奇数?A 3bB a+3C 2（a+b）D a+2bE 2a+b5、在平面坐标内，F(—2，1),G(1,4)，H（4,1)在以P为圆心的圆上，那么点P的坐标是什么？A（0,0）B(1,1）C（1,2）D（1,—2)E(2.5,2.5）6、如图,如果-3≤x≤6，那么x 有几个值,使得f(x）=2?A 零B 一个C 两个D 三个E 三个以上7、如果t 和t+2 的算术平均值是x, t 和t-2的算术平均值是y，那么x 和y 的算术平均值是多少？A 1B 1/2C tD t+1/2E 2t8、对于任何数x 和y,假设x△y=x²+xy+y²，那么（3△1）△1等于多少？A 5B 13C 27D 170E 1839、摩根的植物在一年之内从42厘米长到57厘米。

可汗学院新放出来的几套题难度比较偏低，适合基础阶段练习使用。

大家千万记得，切忌考前用难度系数偏低的题当成模考题，以免影响整体做题的速度。

The Two Faces of Tlatilco这篇考古学文章在讲关于Tlatilco culture中一些发现。

重点研究的是下面这个不知道是什么的大概N多个眼睛鼻子嘴的面具。

然而这些都不重要，毕竟是语法题。

我们只需要知道本篇文章argue的是关于这个东东的象征意义就可以了。

Q1：标点符号题，难度系数：低。

考查主从句之间的连接。

比较容易错的点是正确选项中将关系代词当成插入语使用，容易引起学生的误解。

Q2：句子结构题，难度系数：低。

正确选项是唯一句子结构完整的选项。

Q3：句间逻辑关系，难度系数：低。

上一句讲述关于mythologies的两面性，下一句解释这个名词本身就是有两个意思。

Q4 :过渡，难度系数：低。

用于衔接上下文。

Q5：标点符号，难度系数：低。

本题考查标点符号中unnecessary punctuation，主语和动词之间不加标点符号。

Q6 : 过渡句，难度系数：中。

本题考查上下文之间的transition，但是需要阅读的信息偏多，并且需要做到承上启下，容易有遗漏信息或者是句子的中心偏移的情况存在，容易影响做题速度。

Q7：effective language use，难度系数：低。

选择不包含重复信息的简洁有效选项即可。

Q8：时态，难度系数：中。

不少同学在这道题中都容易选出B的错误选项。

本题中出现了it’s possible that..明确表推测，用may have been.判断准确的主语，depictions，答案选择动词复数形式。

Q10：人称&用语正式性，难度系数：中排除错误的人称，根据正式性进行判断。

Q11：conclusion总结性信息概括结果，选择添加。

Comedy in Contrast：The Style of Flannery O’Connor这篇文章是关于Flannery O’Connor的小说风格。

Data inferences1.A random sample of 35 four-door passenger vehicles had a mean gas mileage, in miles per gallon (mpg), of 25.9 mpg. The estimate had a margin of error of 2.6 mpg at a 98% confidence level. Of the following, which is most plausible value for the true mean of the mileage of four-door passenger vehicles in general?A.24 mpgB.29 mpgC.32 mpgD.35 mpgCorrect answer: A Difficulty level: 22.Based on random samples of river heights, oceanographers estimate that 4,800 cubic kilometers (km3) of freshwater is discharged into the Arctic Ocean annually. The estimate has a margin of error of 240km3at the 90%confidence level. Which of the following is the most reasonable claim about the volume of freshwater discharged annually into the Arctic Ocean?A.It is between 4,800 and 5,040 km3.B.It is between 4,560 and 5,040 km3.C.It is between 240 and 4800 km3.D.It is between 240 and 4320 km3.Correct answer: B Difficulty level: 23.A survey of 9,000 randomly selected dentists practicing in the United States (US) found that 3,600 of them used text messaging to remind clients of upcoming appointments. If there were 147,000 practicing dentists in the US, approximately how many of them used text messaging for that purpose?A.12,600 dentistsB.58,800 dentistsC.159,600 dentistsD.367,500 dentistsCorrect answer: B Difficulty level: 24.A random sample of international flights in 2013 showed that 79% of the flights arrived within 15 minutes of their scheduled arrival time, and this estimate had a margin of error of 3% at a 95% confidence level. Which of the following conclusions is best?A.Exactly 79% arrived within 15 minutes of their scheduled times.B.Exactly 76% arrived within 15 minutes of their scheduled times.C.Between 76% and 82% arrived within 15 minutes of their scheduled times.D.Between 92% and 98% arrived within 15 minutes of their scheduled times.Correct answer: C Difficulty level: 25.In a poll of 1,578 randomly selected American adults, 44.8% of the respondents said that airlines should allow in-flight calls on airplanes. The results had a margin of error of 2.5%at a 90% confidence level. Which of the following is most likely to be equal to the percentage of all American adults who would say that airlines should allow in-flight calls?A.40%B.43%C.48%D.90%Correct answer: B Difficulty level: 26.In a study of 40randomly selected captive Octopus vulgaris, researchers found that the octopi could learn to integrate visual and tactile information to find food after a mean of 119 trials. The estimate had a margin of error of 18 trials at a 95% confidence level. Which of the following is the most reasonable conclusion about the number of trials it would take all captive Octopus vulgaris in general to learn to find the food?A.The evidence suggests that half of them would require 119 or fewer trials.B.The evidence suggests that the mean number of trials would be 119 trials.C.The evidence suggests that the mean number of trials would be between 119 and 137 trials.D.The evidence suggests that the mean number of trials would be between 101 and 137 trials. Correct answer: D Difficulty level: 37.Researchers measured the heart rates of several randomly selected astronauts exercising on stationary bicycles during long-term space missions. The researchers found the mean heart rate of the astronauts was 155 beats per minute with a margin of error of 12 beats per minute at a 90% confidence level. Which of the following is the most plausible value for the mean heart rate of all astronauts exercising on stationary bicycles during long-term space missions?A. 130 beats per minuteB. 140 beats per minuteC. 160 beats per minuteD. 175 beats per minuteCorrect answer: C Difficulty level: 38.In a poll of 14,697 randomly selected adults in the United States, those polled spent an average of $95 per day in November of last year, as compared with $91 per day in November two years ago. The estimates had a margin of error of $4 at the 95% confidence level. Which of the following is a reasonable claim to make based on this sample?A. All adults in the United States spent between $91 and $99 daily last November.B. 95% of adults in the United States spent between $91 and $99 daily last November.C. It is plausible that average daily spending of adults in the United States remained the same inNovember of last year as it was in November two years ago.D. Between 91% and 99% of adults in the United States spent $4 more daily last November thanin November two years ago.Correct answer: C Difficulty level: 39.In a particular county, a sample of the population showed that 84% of the households lived in the same residence as they had the previous year. The estimate had a margin of error of 1.5% at the 90% confidence level. If the county has 50,000 households, which of the following best estimates the number of households that lived in the same residence as they had the previous year, at the 90% confidence level?A. 34,500 to 49,500 residentsB. 37,500 to 50,000 residentsC. 41,250 to 42,750 householdsD. 44,250 to 45,750 householdsCorrect answer: C Difficulty level: 310.Prior to the 2014 elections, 1,000 randomly selected Louisiana voters were surveyed about what single issue would most likely influence their vote. Of those surveyed, 560voters answered that the state of the economy would most influence their vote. Based on this information, which statement about all voters in Louisiana is most appropriate?A.Exactly 56% of all Louisiana voters thought the state of the economy would most influencetheir voting.B.Approximately 56%of all Louisiana voters thought the state of the economy would mostinfluence their voting.C.Exactly 56% of Louisiana voters would vote for the candidate with the best plan to improvethe economy.D.Approximately 56% of Louisiana voters would vote for the candidate with the best plan toimprove the economy.Correct answer: B Difficulty level: 311.A **pany sells bottles of water. A random sample of 50 water bottles found that the bottles contained, on average, 0.96 liters of water, and the estimate had a margin of error of 0.08 liters at the 95% confidence level. Which of the following is a reasonable claim to make based on this sample?A.**pany always fills its water bottles with less than 1 liter of water.B.**pany usually fills its water bottles with between 0.96 liters and 1.04 liters of water.C.**pany always fills its water bottles with between 0.88 liters and 1.04 liters of water.It is plausible that, on average, **pany fills its water bottles with 1 or more liters of water.Correct answer: D Difficulty level: 412.An archaeologist uses an accelerator mass spectrometer to find the age of a buried branch. At the 68% confidence level, the spectrometer estimates that the branch was 10,000 years old with a margin of error of 200 years. Which of the following could the spectrometer estimate as the age of the branch at the 95% confidence level?A.9,500 years old, with a margin of error of 500 yearsB.10,000 years old, with a margin of error of 400 yearsC.9,500 years old, with a margin of error of 50 yearsD.10,000 years old, with a margin of error of 40 yearsCorrect answer: B Difficulty level: 413.A random sample of500residents of a town included 173residents who primarily spoke a language other than English at home, with a margin of error of 25 residents and a confidence level of 98%. If the town has 25,000 residents, how many residents primarily speak a language other than English at home, with the 98% confidence level?A.7,400 to 9,900 residentsB.8,625 to 8,675 residentsC.24,475 to 24,525 residentsD.23,250 to 25,750 residentsCorrect answer: A Difficulty level: 414.In the National Health and Nutrition Examination Survey, 80.5% of the participants had healthy levels of high-density lipoprotein (HDL) cholesterol, the estimate has a margin of error of 1.5% at a confidence level of 95%. The participants were a random sample of United States (US) residents. If the US population at the time of the study was 316 million people, what is the estimate at a 95% confidence level of the number of people in the US who had healthy levels of HDL cholesterol?A.237 million to 246 million peopleB.245million to 264 million peopleC.250 million to 259 million peopleD.254 million to 300 million peopleCorrect answer: C Difficulty level: 415.A university had 150 students registered for an introductory sociology class. The students were randomly assigned to either a section taught with case studies or with lectures. Both sections took the same final exam. Both margins of error are at a 90% confidence level. Which of the following conclusions is the most reasonable regarding the sociology class?A.The university should only offer the lecture teaching method, because students in that sectionhad a higher final exam average.B.The university should not offer either teaching method, case studies or lectures, becauseneither section achieved the target 90% average.C.The university should only offer the lecture teaching method, because the final exam averageplus the margin of error achieved the target 90%.D.The university does not have strong evidence to indicate which teaching method is moreeffective.Correct answer: D Difficulty level: 4。

高二英语几何图形单选题40题1.A basketball is a kind of sphere. What's the shape of a basketball?A.circleB.sphereC.squareD.triangle答案：B。

A 选项“circle”是圆形，指平面图形；B 选项“sphere”是球体，符合篮球的形状；C 选项“square”是正方形；D 选项“triangle”是三角形。

本题考查几何图形的英语表达及区分平面图形和立体图形。

2.The rim of a bicycle wheel is close to what shape?A.circleB.ovalC.rectangleD.pentagon答案：A。

自行车轮的边缘接近圆形。

B 选项“oval”是椭圆；C 选项“rectangle”是长方形；D 选项“pentagon”是五边形。

本题考查对圆形的认识及相关词汇。

3.A coin is in the shape of a(n) _____.A.circleB.sphereC.cubeD.cylinder答案：A。

硬币是圆形的。

B 选项“sphere”是球体；C 选项“cube”是立方体；D 选项“cylinder”是圆柱体。

本题考查常见圆形物体及相关词汇。

4.The shape of a clock face is usually a _____.A.squareB.circleC.triangleD.rectangle答案：B。

钟面通常是圆形的。

A 选项“square”是正方形；C 选项“triangle”是三角形；D 选项“rectangle”是长方形。

本题考查对生活中圆形物体的认识。

5.A pizza is usually in the shape of a _____.A.circleB.ovalC.rectangleD.trapezoid答案：A。

高二英语数学文化赏析练习题40题含答案解析1.The famous mathematician Archimedes is known for his contributions to which field?A.Mathematics onlyB.Physics onlyC.Both mathematics and physicsD.Chemistry答案解析：C。

Archimedes is famous for his contributions to both mathematics and physics. Option A is incorrect because he is also known for his work in physics. Option B is incorrect because he is also known for his work in mathematics. Option D is incorrect because he is not known for his contributions to chemistry.2.Which mathematician is known as the father of geometry?A.PythagorasB.EuclidC.PlatoD.Aristotle答案解析：B。

Euclid is known as the father of geometry. Option A is incorrect because Pythagoras is known for the Pythagorean theorem. Option C is incorrect because Plato is a philosopher. Option D is incorrect because Aristotle is a philosopher.3.Leonardo Fibonacci is famous for introducing which sequence?A.Arithmetic sequenceB.Geometric sequenceC.Fibonacci sequenceD.Harmonic sequence答案解析：C。

高二英语几何图形单选题40题1.A circle has a diameter of 10 cm. What is its radius?A.5 cmB.10 cmC.15 cmD.20 cm答案：A。

本题考查圆的半径和直径的关系。

半径是直径的一半，已知直径是10 厘米，那么半径就是5 厘米。

选项B 是直径的长度，选项C 和D 与题目所给信息不符。

2.The circumference of a circle is 31.4 cm. What is its diameter?A.5 cmB.10 cmC.15 cmD.20 cm答案：B。

本题考查圆的周长和直径的关系。

圆的周长公式是C=πd（C 是周长，d 是直径），已知周长是31.4 厘米，π取3.14，那么直径d=C÷π=31.4÷3.14=10 厘米。

选项A、C、D 计算结果与题目不符。

3.A circular pizza has a radius of 8 inches. What is the area of the pizza?A.64π square inchesB.16π square inchesC.32π square inchesD.48π square inches答案：A。

本题考查圆的面积公式。

圆的面积公式是S=πr²（（S 是面积，r 是半径），半径是8 英寸，那么面积就是π×8²=64π 平方英寸。

选项B、C、D 计算结果错误。

4.The distance around a circular park is 100 meters. What is the radius of the park?A.10 metersB.15 metersC.20 metersD.25 meters答案：C。

本题考查圆的周长公式的应用。

圆的周长公式是C=2πr （C 是周长，r 是半径），已知周长是100 米，π取3.14，那么半径r=C÷2÷π=100÷2÷3.14≈15.92，最接近20 米。

高二数学立体几何英语阅读理解20题1<背景文章>A cube is a three-dimensional figure with six equal square faces. It has many interesting properties. The length of each edge of a cube is denoted by 'a'.The surface area of a cube is given by the formula 6a². This means that if the length of an edge is known, we can easily calculate the total surface area covered by the six square faces. For example, if a cube has an edge length of 5 centimeters, then its surface area would be 6 times 5 squared, which is 6 times 25, equal to 150 square centimeters.The volume of a cube is calculated using the formula a³. So, for the same cube with an edge length of 5 centimeters, the volume would be 5 cubed, which is 125 cubic centimeters.Cubes can be found in many real-life applications. For instance, dice are perfect cubes. Also, some storage boxes are in the shape of cubes, which helps in optimizing space. Architects and designers often use cubes in their designs to create unique structures.1. The formula for the surface area of a cube is ____.A. 4a²B. 5a²C. 6a²D. 7a²答案：C。