题目

如图1，已知二次函数y＝ax2+bx+c（a≠0）的图象与x轴交于A（﹣1，0），B（3，0）两点，与y轴交于点C（0，﹣2），顶点为D，对称轴交x轴于点E． （1）求该二次函数的解析式； （2）设M为该抛物线对称轴左侧上的一点，过点M作直线MN∥x轴，交该抛物线于另一点N．是否存在点M，使四边形DMEN是菱形？若存在，请求出点M的坐标；若不存在，请说明理由； （3）连接CE（如图2），设点P是位于对称轴右侧该抛物线上一点，过点P作PQ⊥x轴，垂足为Q．连接PE，请求Getting less sleep has become a bad habit for most American kids. According to a new survey(调查) by the National Sleep Foundation, 51% of kids aged 10 to 18 go to bed at 10 pm or later on school nights, even though they have to get up early. Last year the Foundation reported that nearly 60% of 7- to 12-year-olds said they felt tired during the day, and 15% said they had fallen asleep at school.How much sleep you need depends a lot on your age. Babies need a lot of rest: most of them sleep about 18 hours a day! Adults need about eight hours. For most school-age children, ten hours is ideal(理想的). But the new National Sleep Foundation survey found that 35% of 10- to 12-year-olds get only seven or eight hours. And guess what almost half of the surveyed kids said they do before bedtime? Watch TV.“More children are going to bed with TVs on, and there are more opportunities(机会) to stay awake, with more homework, the Internet and the phone,” says Dr. Mary Carskadon, a sleep researcher at Brown University Medical School. She says these activities at bedtime can get kids all excited and make it hard for them to calm down and sleep. Other experts say part of the problem is chemical. Changing levels of body chemicals called hormones not only make teenagers’ bodies develop adult characteristics, but also make it hard for teenagers to fall asleep before 11 pm.Because sleepiness is such a problem for teenagers, some school districts have decided to start high school classes later than they used to. Three years ago, schools in Edina, Minnesota, changed the start time from 7:25 am to 8:30 am. Students, parents and teachers are pleased with the results.【1】What is the new National Sleep Foundation survey on?A. American kids’ sleeping habits. B. Teenagers’ sleep-related diseases.C. Activities to prevent sleeplessness. D. Learning problems and lack of sleep.【2】How many hours of sleep do 11-year-olds need every day?A. 7 hours. B. 8 hours. C. 10 hours. D. 18 hours.【3】Why do teenagers go to sleep late according to Carskadon?A. They are affected by certain body chemicals.B. They tend to do things that excite them.C. They follow their parents’ examples.D. They don’t need to go to school early.