题目

如图，矩形OABC的顶点A、C的坐标分别为（4，0）、（0，2），对角线的交点为P，反比例函数y=（k＞0）的图象经过点P，与边BA、BC分别交于点D、E，连接OD、OE、DE，则△ODE的面积为______． 答案：． 【考点】反比例函数系数k的几何意义． 【分析】根据矩形的性质可以找出点B、P的坐标，利用反比例函数图象上点的坐标特征即可求出反比例函数解析式，再分别代入x=4、y=2即可得出点D、E的坐标，利用分割图形求面积法即可得出结论． 【解答】解：∵四边形OABC是矩形，且A（4，0）、C（0，2）， ∴"I can't believe what I’m hearing!" I thought to myself. Jeff was the last candidate (候选人) for president of Student Council. My best friend Tony came to me and said, “I’m sorry, Mike, I really thought you should be _ 36_ ."Later that day, I happened to pass Jeff in the dining room. I offered him a 37 "congratulations" and walked to my usual table. To my surprise, Jeff put his plate beside mine."I'm, er—I'm just wandering if you would … consider coming to work on my team," he said 　38 . "You are really smart, and you would he a great manager."“I don't think so," I replied, feeling unsure."Well, if you change your mind, we are meeting tomorrow,” he said before moving to another table.All right, I thought about the 39 from Jeff. Maybe being a part of the election process ( 选举过程) would give 　40　 a chance to make important changes at our school. I decided to join them.　 My first goal was to 　 41_ a catchy advertisement. Within a few days, we designed a poster with Jeff's pictures showing him in a number of activities. No one could walk through any hallway 　 42_ passing Jeff's smiling face.My next step was to 43 which new activities students would like to have at our school. Many of them wanted a chess club and. a volleyball team.With tile information I had collected, Jeff met with the headmaster. The headmaster 　 44 to add these activities to our school program.With my help, Jeff and our ideas were well 　 45　 at school.An eighth grader said, "It'll be like attending a new school with Jeff as president.Hearing these words made my heart filled with 　46 I had wanted to become president of Student Council to make a difference. I achieved that and more by working as a member of Jeff's team. He became the most popular candidate and I was a large part of his 　47　 . The fact that it has made a difference in other people's lives is the real prize. What a great feeling!36. A. beard B. chosen C. invited D. followed37. A. polite B. loud C. warm D. cheerful38. A. proudly B. quickly C. nervously D. regretfully39. A. advice B. chance C. message. D. offer40. A. them B. him C. me D. us41. A. print B. invent C. create C. send42. A. for B. from C. with D. without43. A. carry out B. try out C. work out D. find out44. A. agreed B. wanted C. expected D. asked45. A. allowed B. received C. introduced D. required46. A. pride B. surprise C. patience D. hope47. A. hick B. spirit C. life D. success