题干

如图,在平面直角坐标系中,已知OA=12cm,OB=6cm,点P从O点开始沿OA边向点A以1cm/s的速度移动:点Q从点B开始沿BO边向点O以1cm/s的速度移动,如果P、Q同时出发,用t(s)表示移动的时间(0≤t≤6),那么:

(1)设△POQ的面积为y,求y关于t的函数解析式。
(2)当△POQ的面积最大时,△POQ沿直线PQ翻折后得到△PCQ,试判断点C是否落在直线AB上,并说明理由。

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答案(点此获取答案解析)

(1)∵OA=12,OB=6由题意,得BQ=1·t=t,OP=1·t=t
∴OQ=6-t
∴y=×OP×OQ=·t(6-t)=-

同类题2

根据短文理解填写表格。

       Weddings are important in every country, and there are different wedding customs in different countries. In western countries the bride's (新娘的) dress—her wedding dress—is very important. Some brides wear a new dress. Some brides wear the dress their mothers or even their grandmothers wore at their weddings.

       Some people believe the bride should wear something old, something new, something borrowed, something blue. She may wear an old ring and will usually have new shoes. She may borrow something to wear from a friend, and the ring on her finger may have a blue jewel in it or some of her clothes may be blue.

       Many married people in western countries wear a ring to show that they are married. They wear the ring on the fourth finger of their left hands.

       At the wedding, as soon as the man and the woman are married, their friends often throw rice or very small pieces of paper over the couple. They believe this will bring them good luck and that they will have many children. The bride often carries flowers, and after the wedding she throws them up in the air. People believe that the woman who catches the flowers is lucky enough. The bride and the groom (新郎), their friends and family then have a party. After that the bride and the groom go on holiday together. This holiday is called "the honeymoon".

Some wedding ____ in western countries

Bride's wedding dress

The bride's wedding dress is of great ____.

Bride's wear

The bride should wear

something old: her ____ or even her grandmother's wedding dress; an old ring

something new: a new wedding dress; a pair of new ____.

something ____: things from a friend.

something blue: a ring with a blue ____; some blue clothes.

The ____for the married

Many married wear the ring on the ____ finger of their left hands to show that they are married.

Activities in the wedding party

People throw rice or very small pieces of paper over the new ____ to bring them good luck, hoping they will have many children.

The ____ woman catches the flowers thrown up in the air by the bride.

The bride and the groom will have their "honeymoon" after the party.