2009年莆田市初中毕业、升学考试试卷(WORD版 有答案)(11)

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············································································10分 BE2 CF2 AD2 BD2 CE2 AF2 ·

BE2 CF2 AD2 a AD a BE a CF

········································11分 a2 2ADa AD2 a2 2BEa BE2 a2 2CFa CF2 ·整理得:2a AD BE CF 3a

2

222

AD BE CF

3

·····································································································12分 a ·2

1 4

25.(1)解:方法一,如图1,当x 1时,y 当x 4时,y 4

∴A 1············································································· 1分 ·

1 4

(图1)

B 4,4 ······················································································ 2分

设直线AB的解析式为y kx b ·············································· 3分

13

k b k 则 4 解得 4 4k b 4 b 1

∴直线AB的解析式为y 当x 0时,y 1

3

x 1 ············································· 4分 4

F 01,···························································································································5分 ·

方法二:求A、B两点坐标同方法一,如图2,作FG BD,AH BD,垂足分别为G、H,交y轴于点N,则四边形FOMG和四边形

NOMH均为矩形,设FO x···················································· 3分 △BGF∽△BHA

BGFG (图2) BHAH4 x4

·······················································································································4分 ·

54 4解得x 1

F 0,1 ·························································································································5分


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