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SAT數(shù)學(xué)｜真題解析之長(zhǎng)難題干審題技巧
時(shí)間：2020-09-25
來(lái)源：網(wǎng)絡(luò)
作者：無(wú)
大部分中國(guó)的SAT考生面臨SAT數(shù)學(xué)考試時(shí)，最大的問(wèn)題不是解決“數(shù)學(xué)問(wèn)題”，而是解決“閱讀問(wèn)題”，這里的閱讀問(wèn)題指的就是對(duì)于長(zhǎng)難題干的理解，或者數(shù)學(xué)關(guān)系的英文表達(dá)的理解。今天我們拿2道2019年4月北美school day真題進(jìn)行舉例分析。
1. A city with 120,000 residents is voting on a proposal that would eliminate overnight parking of vehicles on the city s streets. An independent company randomly surveys 1,200 residents to see whether or not residents would support this proposal. The outcome of the survey shows that 60% of the residents surveyed approve of the proposal with a margin of error of 2%. Which of the following statements is a plausible conclusion from the outcome of the survey?
A) Exactly 60% of city residents approve eliminating overnight parking.
B) There are 72,000 city residents who approve eliminating overnight parking.
C) About 2% of the city residents do not approve eliminating overnight parking.
D) Between 58% and 62% of the city residents approve eliminating overnight parking.
2.An initial investment of $1,000 is made at a constant annual interest rate. The graphs above show the corresponding future value, v, in dollars, of the investment for different annual interest rates, r, after 20 years. One graph shows the value when the interest is compounded daily, and the other graph shows the value when the interest is compounded annually. Which of the following statements is true?
A) As r increases at a constant rate, v increases more rapidly if interest is compounded annually rather than daily.
B) As r increases at a constant rate, v increases more rapidly if interest is compounded daily rather than annually.
C) As r increases at a constant rate, the difference in interest compounded daily and interest compounded annually increases at a constant rate.
D) If r= 15% and interest is compounded annually, a $1,000 investment will be worth $20,000 after 20 years.
1. A city with 120,000 residents is voting on a proposal that would eliminate overnight parking of vehicles on the city s streets. An independent company randomly surveys 1,200 residents to see whether or not residents would support this proposal. The outcome of the survey shows that 60% of the residents surveyed approve of the proposal with a margin of error of 2%. Which of the following statements is a plausible conclusion from the outcome of the survey?
A) Exactly 60% of city residents approve eliminating overnight parking.
B) There are 72,000 city residents who approve eliminating overnight parking.
C) About 2% of the city residents do not approve eliminating overnight parking.
D) Between 58% and 62% of the city residents approve eliminating overnight parking.
2.An initial investment of $1,000 is made at a constant annual interest rate. The graphs above show the corresponding future value, v, in dollars, of the investment for different annual interest rates, r, after 20 years. One graph shows the value when the interest is compounded daily, and the other graph shows the value when the interest is compounded annually. Which of the following statements is true?
A) As r increases at a constant rate, v increases more rapidly if interest is compounded annually rather than daily.
B) As r increases at a constant rate, v increases more rapidly if interest is compounded daily rather than annually.
C) As r increases at a constant rate, the difference in interest compounded daily and interest compounded annually increases at a constant rate.
D) If r= 15% and interest is compounded annually, a $1,000 investment will be worth $20,000 after 20 years.
