最新：新 gre 数学样题及解析GRE Revised General Test: Quantitative Reasoning Sample QuestionsFiguresThis document includes figures, which appear on screen. Following each figure on screen is text describing that figure. Readers using visual presentations of the figures may choose to skip parts of the text describing the figure that begin with “Begin skippable figure description” and end with “End skippable figure description.”Mathematical Equations and ExpressionsThis document includes mathematical equations and expressions. Some of the mathematical equations and expressions are presented as graphics. In cases where a mathematical equation or expression is presented as a graphic, a verbal presentation is also given and the verbal presentation comes directly after the graphic presentation. The verbal presentation is in green font to assist readers in telling the two presentation-modes apart. Readers using audio alone can safely ignore the graphical presentations, and readers using visual presentations may ignore the verbal presentations.IntroductionThe revised Quantitative Reasoning section contains four types of questions:Multiple-choice Questions Select One Answer ChoiceMultiple-choice Questions Select One or More Answer ChoicesNumeric Entry QuestionsQuantitative Comparison QuestionsEach question appears either independently as a discrete question or as part of a set of questions called a Data Interpretation set. All of the questions in a Data Interpretation set are based on the same data presented in tables, graphs, or other displays of data. Below are descriptions, directions, and samples of each type of question.Multiple-Choice Questions Select One Answer ChoiceThese questions are multiple-choice questions that ask you to select only one answer choice from a list of five choices. Sample QuestionsDirections: Select a single answer choice.Sample question 1 below is based on figure 1. Figure 1 Begin skippable figure description.Figure 1 is a circle with center C.Two diameters of the circle are drawn, dividing the circle into 4 sectors. Two nonadjacent sectors are shaded, and the central angle of one of the unshaded sectors measures 160 degrees. End skippable figure description.1. Figure 1 above shows a circle with center C and radius 6. What is the sum of the areas of the two shaded regions?A. 7.5 piB. 6 piC. 4.5 piD. 4 piE. 3 pi Answer: D ( 4 pi)Sample question 2 below is based on figure 2.Figure 2 Begin skippable figure description.Figure 2 shows the graph in the x y plane of the function f of x = the absolute value of 2x, end absolute value, + 4. There are equally spaced tick marks along the x axis and along the y axis. The first tick mark to the right of the origin, and the first tick mark above the origin, are both labeled 1. The graph of the function f is in the shape of the letter V. It is above the x axis and is symmetric with respect to the y axis. The lowest point on the graph of f is the point 0 comma 4 on the y axis.Going leftward from the point 0 comma 4 the graph of fis a line that slants upward, passing through the point negative 2 comma 8.Going rightward from the point 0 comma 4 the graph of f is a line that slants upward, passing through the point 2 comma 8.End skippable figure description.2. Figure 2 above shows the graph of a function f, defined by f of x = the absolute value of 2x, end absolute value, + 4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f?A. g of x = x minus 2B. g of x = x + 3C. g of x = 2x minus 2D. g of x = 2x + 3E. g of x = 3x minus 2Answer: E ( g of x = 3x minus 2)Multiple-Choice Questions Select One or More Answer ChoicesThese questions are multiple-choice questions that ask you to select one or more answer choices from a list of choices. A question may or may not specify the number of choices to select.Sample QuestionsDirections: Select one or more answer choices according to the specific question directions.If the question does not specify how many answer choices to select, select all that apply.The correct answer may be just one of the choices or may be as many as all of the choices, depending on the question.No credit is given unless you select all of the correct choices and no others.If the question specifies how many answer choices to select, select exactly that number of choices.1. Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and is $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the company?Indicate all such amounts.A. $26,000B. $28,000C. $29,000D. $30,000E. $31,000F. $32,000G. $34,000Answer: A ($26,000) and B ($28,000)2. If f, g, and h are positive