问题 填空题

下列四个命题:

(1)函数f(x)在x≥0时是增函数,x≤0也是增函数,所以f(x)在R上是增函数;

(2)若二次函数f(x)=ax2+bx+2没有零点,则b2-8a<0且a≠0;

(3) y=x2-2|x|-3的递增区间为[1,+∞);

(4) 若f(-2)=f(2),则定义在R上的函数f(x)不是奇函数.其中正确的命题是 ______.

答案

对于(3),因为 y=x2-2|x|-3是偶函数,其定义域关于原点对称,其单调区间也关于原点对称,所以递增区间应有两个,是[1,+∞)和(-∞,-1],故(3)错

对于(4),取f(x)=

x-2      x>0
-x+2      x<0
,满足f(-2)=f(2),但f(x)是奇函数,故(4)错

故答案为:(1)(2)

填空题

How did the Olympic Games start In ancient Greece athletic festivals were very important and had p ________ (1). Originally the Festival was held in honour of .Zeus, the supreme god in Greek Mythology. Eventually the Olympian athletic festival had lost its ________ (2) and became an international event. No one knows exactly ________ (3) the Olympic Games go, but some scholars recorded date from 776 B.C.According to some scholars, at first the only Olympic event was ________ (4), called a stadium and that was the only event until 724 B.C. After that, other ________ (5) were added and sixteen years later in ________ (6) the pentathlon was added and wrestling became part of the games. This pentathlon was a five-event match which ________ (7) running, wrestling, leaping, throwing the discus, and hurling the javelin.The games were held ________ (8) and after an uninterrupted history of 1170 years, the games ________ (9) in A.D. 394, the Christian era, because of their pagan origin.It was over ________ (10) before there was another such international athletics gathering. In 1896, the first of the modern ________ (11) opened in Athens, Greece.Nowadays, the Games are held in different countries ________ (12). The host country provides vast facilities such as stadiums and ________ (13).Many more sports are represented, including the very celebrated event: ________ (14).The Olympics start with the arrival in the stadium of a torch, ________ (15) on Mount Olympus by the sun’s rays. The torch is carried by ________ (16) to the stadium. The Olympic flame symbolizes the ________ (17) of the ancient Greek athletic ideals, and it burns throughout the Games until ________ (18). The well-known Olympic flag, however, is ________ (19): the five interlocking rings symbolize the uniting of all five continents ________ (20).

选择题