原题没有图
In ΔPQR, if PQ = x + 2, and PR = y, which of the three angles of ΔPRQ has the greatest degree measure?
(1) y = x + 3
(2) x = 2
答案选A,我觉得应该选E,因为只给了两条边的条件,不知道第三条边
解释中说因为y>x+2,所以PR就是最长的,那么QR呢?没有考虑大QR呀
解释中关于(2)的解释我也不明白,x=2,怎么PQ=2呢?PQ不是等于x+2,
该等于4吗?
Explanation:
In any triangle, the largest angle is opposite the longest side. To determine the longest side it suffices to determine whether y>x+2. Since x+3>x+2, it follows from (1) that y>x+2. Statement (1) alone is therefore sufficient. From (2) it follows that PQ=2 and QR=4. Thus, y can be any value between 2 and 6; it follows that y>x, but it cannot be concluded that y>x+2. Statement (2) alone is therefore not sufficient. Therefore, statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question. |