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OG20新题   题数：59
【OG20-P280-324题】Is quadrilateral PQRS a parallelogram?1.Adjacent sides PQ and QR have the same length.2.Adjacent sides RS and SP have the same length.
【OG20-P279-311题】If r and s are positive numbers and θ is one of the operations,+,-,×,or÷,which operation is θ?1.if r=s,then r θ s=02.if r≠s,then r θ s≠s θ r
【OG20-P281-325题】In the figure above, the vertices of ΔOPQ and ΔQRS have coordinates as indicated. Do ΔOPQ and ΔQRS have equal areas?1.b=2a2.d=2c
【OG20-P281-326题】 After the first two terms in a sequence of numbers,each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence?1. The sum of the first 3 terms in the sequence is 6.2.The fourth term in the sequence is 6.
【OG20-P279-312题】In any sequence of n nonzero numbers ,a pair of consecutive terns with opposite signs represents a sign change.For example,the sequence -2,3,-4,5 has three sign changes.Does the sequence of nonzero numbers S1,S2,S3..........Sn have an even number of sign changes?1.Sk=(-1)kfor all positive integers k from 1 to n.2.n is odd.
【OG20-P281-327题】Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X?1. Jones has worked at Firm X 9 years longer than Smith.2. Green has worked at Firm X 5 years less than Jones.
【OG20-P281-328题】In ΔJKL shown above, what is the length of segment JL?1.JK=102.KL=5
【OG20-P281-329题】​A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic.1.Each side of each triangular piece of tile is 9 centimeters long.2.The mosaic can be put inside a rectangular frame that is 40 centimeters wide.
【OG20-P284-353题】If a and b are constants，is the expression x+b√x+a defined for x = -2？1.a = 52.b = 6
【OG20-P285-363题】Three roommates-Bela，Gyorgy,and Janos-together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates?1.Bela had a monthly income of $2,000.2.Janos saved 1.5 times as much for the trip as Bela.
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