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2019 年 AMC 10B 解題思路

以下是 2019年 AMC 10B 的解題思路,作為給我自己的一份參考。有些題目比較簡(jiǎn)單,思路可能略過(guò)了。如果大家有其他做法,歡迎留言交流 


—— 無(wú)憂公主




關(guān)于 AMC 10 比賽(以下內(nèi)容摘自 maa.org 官網(wǎng)對(duì) AMC 10 的介紹)


The AMC 10 and AMC 12 are both 25-question, 75-minute, multiple choice examinations in high school mathematics designed to promote the development and enhancement of problem-solving skills.


The AMC 10 is for students in 10th grade and below, and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. The AMC 12 covers the entire high school curriculum including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.


These competitions are administered around the country on Thursday, February 7, 2019 and Wednesday, Feb. 13, 2019. The AMC 10/12 provides an opportunity for high school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. The AMC 10/12 is the first in a series of competitions that eventually lead all the way to the International Mathematical Olympiad (see Invitational Competitions).


The AMC 10/12 is also available in French, Spanish, large print, and braille.


Q. What material is covered on the AMC 10 and 12?


A. The AMC 10 covers mathematics normally associated with grades 9 and 10. The AMC 10 assumes knowledge of elementary algebra; basic geometry knowledge including the Pythagorean Theorem, area and volume formulas; elementary number theory; and elementary probability. What are excluded are trigonometry, advanced algebra, and advanced geometry. The AMC 12 covers the entire high school mathematics curriculum including the above as well as trigonometry, advanced algebra, and advanced geometry but excludes calculus.




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