新SAT数学解答策略汇总

2022-05-18 03:02:17

  新

  1、阅读量增加

  新SAT数学平均每道题字数增长约10个字左右,最长的题有330字。与美国学生相比,以往中国学生赢在数学知识和计算能力,但中国学生在专业英语词汇量、与实际生活联系、逻辑思维、批判性思维阅读上与美国学生存在很大差距。在单词方面,学生首先要对数学专业词汇以及常见表达熟练掌握,同时在平常也需要更多积累其他STEM相关领域词汇和背景知识。针对题目中的长句,则需要快速理解题意辨识出考查的知识点,然后分析句子结构,迅速剥离出与解题相关的数据信息。包括题目最后的问题也会经常出现在长句中,如果句子没有读懂,那么很有可能会减缓做题速度甚至会影响解题切入点。

  例题:

  An online store receives customer satisfaction ratings between 0 – 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings.

  题目主要意思为:一家在线商店会收到评分为0-100分之间的顾客满意度评价,收到的前10个评价得分平均为75,如果要保证前20个评价的平均得分为85,商店收到的第11个评价的最少为多少分?

  在这道题中,商店需要计算好评率。这类题我们都可以看做“应用题”,解答应用题首先需要将题目给出的情境抽象化:在0-100中先按顺序选择10个数,他们的平均数为75,如果再依次选择10个数,为了保证这20个数的平均数为85,第11个数最少应该是几?

  2. 题目的内容和形式更加多样化:

  与实际生活、工作相结合。这就需要备考者积累与留心社会常识与经验。

  例题:

  A bank has opend a new branch and ,as part of a promotion, the bank branch is offering $1,000 certificates of deposit at an interst rate of 4% per year, compounded semiannually. The bank is selling certificates with terms of 1,2,3 or 4 years. Which of the following fuctions gives the total amount, A, in dollars, a customer will receive when a certificate with a term of k years is finnally paid.

  A) A= 1,000(1+0.04K)

  B) A=1,000(1+0.08K)

  C) A=1,000(1.04)k

  D) A=1,000(1.04)2k

  解读:银行几乎与每个人的生活都息息相关,存款利率与收益具体如何计算则是这道题考查的重点。

  3、与STEM,美国社会科学知识等领域紧密相关

  要求:具备相应的科学背景知识、信息处理能力,以及逻辑推理能力

  例题:

  a = 1,052 + 1.08t

  The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit (°F). Which of the following expresses the air temperature in terms of the speed of a sound wave?

  A) t = (a-1052)/1.08

  B) t = (a+1052)/1.08

  C) t = (1052-a)/1.08

  D) t = 1.08/(a+1052)

  解读:这答题涉及物理学科相关知识,题目中已经给出公式以及相应解释。只要理解变量的意义以及相应单位,就可以按照题目要求解题。

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