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GMAT数学备考资料:费费数学宝典详解版

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  11、S=,T=。One number is selected from S, and the other number is selected from T. What is the probability that the product of the two numbers is negative?

  【答案】1/2

  【思路】C5 1C3 1 / C5 1C6 1=1/2

  12、

  What is the function of the curve above?

   y = x^3 - x^2

   y = - x^3 + x^2

   y = - x^3 +x

   y = x^3 - x

   y = x^3 + x

  【答案】

  【思路】根据图形可以知道应该找与X轴有三个交点,也就是y等于0时可以解出三个实根的方程。排除、、,因为只有两个实根,也是有两个实根,只有一个实根,只有是对的。又可以通过增减函数来排除,图形告诉我们X向正无穷方向增加,Y的值也随之增加,从某点开始为增函数,再看方程明显从某点开始后为减函数,因此是对的。

   分页标题#e#

  13、0-50中,被3整除余1的数有多少个?

  【答案】有17个

  【思路】0=3x+1=50 x=0.16

  14、N is the sum of the first K consecutive positive integers, where 101=150. What is the sum of 1/N?

  【答案】2

  【思路】把first consecutive 理解为是从1开始到k 的数列。

  N=K/2

  1/N=2/K=2 1/K

  因为1/K=1/K 1/

  所以 2/K=2 =2

  15. There are six cards each with a number from 1 to 6. Draw one card randomly and then put it back into a bowl. If one card is to be drawn randomly, and the sum of two cards is 8, whats the probability that the card is 5?

  【答案】2/5

  【思路】因放回,两张cards之和=8有5种可能,2 6,6 2,3 5,5 3,4 4,其中出现5的可能有2种。

  

  11、S=,T=。One number is selected from S, and the other number is selected from T. What is the probability that the product of the two numbers is negative?

  【答案】1/2

  【思路】C5 1C3 1 / C5 1C6 1=1/2

  12、

  What is the function of the curve above?

   y = x^3 - x^2

   y = - x^3 + x^2

   y = - x^3 +x

   y = x^3 - x

   y = x^3 + x

  【答案】

  【思路】根据图形可以知道应该找与X轴有三个交点,也就是y等于0时可以解出三个实根的方程。排除、、,因为只有两个实根,也是有两个实根,只有一个实根,只有是对的。又可以通过增减函数来排除,图形告诉我们X向正无穷方向增加,Y的值也随之增加,从某点开始为增函数,再看方程明显从某点开始后为减函数,因此是对的。

   分页标题#e#

  13、0-50中,被3整除余1的数有多少个?

  【答案】有17个

  【思路】0=3x+1=50 x=0.16

  14、N is the sum of the first K consecutive positive integers, where 101=150. What is the sum of 1/N?

  【答案】2

  【思路】把first consecutive 理解为是从1开始到k 的数列。

  N=K/2

  1/N=2/K=2 1/K

  因为1/K=1/K 1/

  所以 2/K=2 =2

  15. There are six cards each with a number from 1 to 6. Draw one card randomly and then put it back into a bowl. If one card is to be drawn randomly, and the sum of two cards is 8, whats the probability that the card is 5?

  【答案】2/5

  【思路】因放回,两张cards之和=8有5种可能,2 6,6 2,3 5,5 3,4 4,其中出现5的可能有2种。

  

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