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OG18分册   题数:124
What is the radius of the circle above with center O ?(1) The ratio of OP to PQ is 1 to 2.(2) P is the midpoint of chord AB.
If x2=2x , what is the value of x ?( 1) 2x=(x2 )3 (2 ) x=2x−2 ​
The sequence s1 ,s2 ,s3 , . . . , sn , . . . is such that sn=1n −1n+1 for all integer n≥1 , If k is a positive integer ,is the sum of the first k terms of the sequence greater than 910 ?(1 ) k > 1 0(2) k < 1 9
I n the sequence S of numbers , each term after the first two term s i s the sum of the two immediately preceding terms . What i s the 5th term of S ?( 1 ) Th e 6th term of S minus the 4th term equals 5 .(2) Th e 6th te rm of S pl u s the 7th term equals 2 1 .
If p, q, x, y, and z are different positive integers, whichof the five integers is the median?(1) p + X < Q(2) y < zIf p, q, x, y, and z are different positive integers, whichof the five integers is the median?(1) p + X < Q(2) y < zIf p, q, x, y, and z are different positive integers, whichof the five integers is the median?(1) p + X < Q(2) y < z
If w + z = 28, what is the value of wz ?( 1) w and z are positive integers.(2) w and z are consecutive odd integers.
If abc≠0 , is ab c =abc ?(1) a = 1 C(2) C = 1
The arithmetic mean of a collection of 5 positive integers, not necessarily distinct, is 9. One additional positive integer is included in the collection and the arithmetic mean of the 6 integers is computed. Is the arithmetic mean of the 6 integers at least 1 0 ?( 1 ) The additional integer is at least 1 4.(2) The additional integer is a multiple of 5 .The arithmetic mean of a collection of 5 positiveintegers, not necessarily distinct, is 9. One additionalpositive integer is included in the collection and thearithmetic mean of the 6 integers is computed. Is thearithmetic mean of the 6 integers at least 1 0 ?( 1 ) The additional integer is at least 1 4.(2) The additional integer is a multiple of 5 .
A certain list consists of 400 different numbers. Is the average (arithmetic mean) of the numbers in the list greater than the median of the numbers in the list?(1 ) Of the numbers in the list, 280 are less than the average.(2) Of the numbers in the fist, 30 percent are greater than or equal to the average.
In a two-month survey of shoppers, each shopper bought one of two brands of detergent, X or Y, in the first month and again bought one of these brands in the second month. In the survey, 90 percent of the shoppers who bought Brand X in the first month 1 bought Brand X again in the second month, while 60 percent of the shoppers who bought Brand Y in the first month bought Brand Y again in the second month. What percent of the shoppers bought Brand Y in the second month?( 1) In the first month, 50 percent of the shoppers bought Brand X.(2) The total number of shoppers surveyed was 5,000.In a two-month survey of shoppers, each shopperbought one of two brands of detergent, X or Y, in thefirst month and again bought one of these brandsin the second month. In the survey, 90 percent ofthe shoppers who bought Brand X in the first month1 bought Brand X again in the second month, while60 percent of the shoppers who bought Brand Y in thefirst month bought Brand Y again in the second month.What percent of the shoppers bought Brand Y in thesecond month?( 1) In the first month, 50 percent of the shoppersbought Brand X.(2) The total number of shoppers surveyed was5,000.
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