题目

如图所示，直线 y=x+2 与两坐标轴分别交于A、B 两点，点 C 是 OB 的中点，D、E 分 别是直线 AB、y 轴上的动点，则△CDE 周长的最小值是________． 答案：【答案】 【解析】先求出A，B两点坐标，得到C点坐标，然后分别求出C点关于直线AB与y轴的对称点C′和C′′的坐标，连接C′，C′′，交AB和y轴的于点D，E，此时△CDE的周长最小，求出线段C′C′′的长即可.解：由题意可知A（0，2），B（﹣2，0），∵点 C 是 OB 的中点，∴C（﹣1，0），如图，点C关于直线.        Have you ever wondered why birds sing? Maybe you thought that they were just happy. After all, you probably sing or whistle (口哨) when you are happy. Some scientists believe that birds do sing some of the time just because they are happy. However, they sing most of the time for a very different reason. Their singing is actually a warning to other birds to stay out of their territory. Do you know what a “territory” is? A territory is an area that an animal, usually the male, claims (声称) as its own. Only he and his family are welcome there. No other families of the same species  are welcome.Your yard and house are your territory where only your family and friends are welcome. If a stranger should enter your territory and threaten you, you might shout. Probably this would be enough to frighten him away. If so, you have actually frightened the stranger away without having to fight him. A bird does the same thing. But he expects an outsider almost any time, especially at nesting (筑巢) season. So he is screaming all the time, whether he can see an outsider or not. This screaming is what we call a bird’s song, and it is usually enough to keep an outsider away. Birds sing loudest in the spring when they are trying to attract a mate and warn others not to enter the territory of theirs. You can see that birds have a language of their own. Most of it has to do with attracting mates and setting up territories. 72. Some scientists believe that most of the time birds’ singing is actually ______. A. an expression of happiness       B. a way of warning C. an expression of anger      D. a way of greeting 73. What is a bird’s “territory”? A. A place where families of other species are not accepted. B. A place where a bird may shout at the top of its voice. C. An area for which birds fight against each other. D. An area which a bird considers to be its own. 74. One reason for birds’ singing at nesting season is that ______. A. they want to invite more friends. B. their singing helps frighten outsiders away. C. they want to find outsiders around. D. their singing helps get rid of their fears. 75. How does the writer explain birds’ singing? A. By comparing birds with human beings. B. By reporting experiment results. C. By describing birds’ daily life. D. By telling a bird’s story.