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2014-2015年海南省白驹学校八年级上学期数学期中试卷与答案

2014-2015年海南省白驹学校八年级上学期数学期中试卷与答案
2014-2015年海南省白驹学校八年级上学期数学期中试卷与答案

赠送初中数学几何模型

【模型三】

双垂型:图形特征:

60°

运用举例:

1.在Rt△ABC中,∠ACB=90°,以斜边AB为底边向外作等腰三角形PAB,连接PC. (1)如图,当∠APB=90°时,若AC=5,PC=62,求BC的长;

(2)当∠APB=90°时,若AB=45APBC的面积是36,求△ACB的周长.

P 2.已知:如图,B、C、E三点在一条直线上,AB=AD,BC=CD.

(1)若∠B=90°,AB=6,BC=23,求∠A的值;

(2)若∠BAD+∠BCD=180°,cos∠DCE=3

5

,求

AB

BC的值.

3.如图,在四边形ABCD中,AB=AD,∠DAB=∠BCD=90°,

(1)若AB=3,BC+CD=5,求四边形ABCD的面积

(2)若p= BC+CD,四边形ABCD的面积为S,试探究S与p之间的关系。

D

B

C

2014-2015学年海南省白驹学校八年级(上)期中数学试卷

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