题干

已知二次函数的图象的顶点在原点O,且经过点A(1,
1
4
).
(1)求此函数的解析式;
(2)将该抛物线沿着y轴向上平移后顶点落在点P处,直线x=2分别交原抛物和新抛物线于点M和N,且S△PMN=32,求:MN的长以及平移后抛物线的解析式.
上一题 下一题 0.0难度 选择题 更新时间:2015-11-24 12:31:37

答案(点此获取答案解析)

解:(1)∵抛物线顶点是原点,可设y=ax2
把点A(1,
1
4
)代入,得a=,14

同类题2

阅读短文,从每小题所给的四个选项中,选出能回答所提问题或完成所给句子的最佳答案。

B

    People often think of the North Pole(北极) and the South Pole as similar frozen(冰冻的) wastelands. They are both places with very cold temperatures and few people live there. However, the North and South Poles are not much alike as people may imagine.

    The North Pole has no land, only thick ice. Temperatures seldom go above 32°F, at which water turns into ice. Most of the time, it stays below zero. In winter temperatures are usually as low as -30°F.

    Although conditions were very poor, people tried for many centuries to reach the North Pole. About 100 years ago, two men, Robert Peary and Mathew Henson, were able to get to this environment full of troubles and difficulties. They reached the North Pole on March 8th, 1909. It was really a hard trip for them.

    There are few things more dangerous than crossing the Arctic(北极圈) on foot. People who stayed there may face many problems: very cold temperatures, sudden storms, and even hunger. Most of the area is uninhabited. Few people can live in such a difficult place.

    People might think that with such low temperatures for most of the year, the ice would be thick and hard. However, this is not true in the Arctic. The movement of the ocean water under the ice may often cause many different changes on the surface. Sometimes the ice breaks into two opening lanes of water(水道) called “leads”. Anyone who falls into a lead can be frozen to death in a few minutes.