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新GRE考试数学模拟题解析详解(1)

2013-06-17 
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  最新:新gre 数学样题及解析

  GRE® Revised General Test: Quantitative Reasoning Sample Questions

  Figures

  This 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 Expressions

  This 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.

  Introduction

  The revised Quantitative Reasoning section contains four types of questions:

  Multiple‐choice Questions — Select One Answer Choice

  Multiple‐choice Questions — Select One or More Answer Choices

  Numeric Entry Questions

  Quantitative Comparison Questions

  Each 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 Choice

  These questions are multiple‐choice questions that ask you to select only one answer

  choice from a list of five choices.

  Sample Questions

  Directions: 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 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 2

  B. g of x = x + 3

  C. g of x = 2x minus 2

  D. g of x = 2x + 3

  E. g of x = 3x minus 2

  Answer: E ( g of x = 3x minus 2)

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