第五章 难题集锦.docx

第五章 难题集锦本章搜集了 ACT数学里比较难的题，涵盖了函数，几何以及大量的应用题。主要针对训练阅读 英文数学题的能力，针对已经掌握了 ACT基本知识考点的同学。一共有8个test，由于作者的任性，每个test题目不定，选项不定。在ACT数学考试里，会有1-2道难题，目的是区分好学生和更好的学生。如果做完本章没有任 何问题，那恭喜你，除了避免粗心，考试中不会有任何问题；如果做本章的时候困难重重，那也不 要灰心，划出读不懂的句子，多揣摩总结，难题不在话下。本章的最后总结有ACT常见数学词汇，这些基本单词一定不能成为读题的障碍，希望同学们知悉。Test 1The 2 squares in the figure below have the same dimensions. The vertex of one square is at the center of the other square. What is the area of the shaded region, in square inches salesperson earns dollars, where h is the number of hours worked, and t is the total amount of her sales. What does she earn for working 10 hours with $230.80 in sales?$71.54$74.54$175.40J.$251.80K.$295.80When the marching band is arranged in rows of 4 people each, the last row is one person short. When it is arranged in rows of 5, the last row is still one person short. What is the least possible number of people in the marching band?A.11B.14C.59D.89E.119In the (x,y) coordinate plane, what is the y-intercept of the line x - 3 y - 9 = 0 ?-3-20J.3K． 6The equation of lines below is Which of the following could be an equation for line t?F. y=2mxG. y=2mx+bH. y=2mx-b J. y=-2mx+bK. y=-2mx-bIf A, B, and C are real numbers, and if ABC=1, which of the following conditions must be true?AB is equal to A, B, and C must all be positiveEither A=1, B=1, or C=1Either A=0, B=0, or C=0Either A1, B1, or C17. How many different integer values of n satisfy the inequality ?F．1G．2H．3J.4K.5TEST1 答案：1-5 CFCFJ 6-7 AKHow many units long is 1 side of a square with perimeter 20c-12 units?20c-1220c-38cJ.5c-12K.5c-32. Doctors use the term maximum heart rate (MHR) when referring to the quantity found by starting with 220 beats per minute and subtracting 1 beat per minute for each year of a person’s age. Doctors recommend exercising 3 or 4 times each week for at least 20 minutes with your heart rate increased from its resting heart rate (RHR) to its training heart rate (THR), whereTHR=RHR+65(MHR-RHR)Which of the following is the closest