内容正文:
剑英公园面积问题
第三章位置与坐标
请用相应内容替换文本框中的“X”,例如:“人教版初中数学九年级上册教学课件”,“第三单元”,“第7课”。
数学实践活动
梅州市剑英公园指南图绘制
利用假期的时间,全班同学分十个小组去剑英公园进行一次数学实践活动,实践目的是利用平面直角坐标系绘制一张简易的剑英公园平面分布图,方便旅客或者游客到剑英公园玩。
活动地点:梅州市剑英公园
活动时间:国庆假期
活动要求:利用平面直角坐标系分别绘制出树木分布图、景点图、 凉亭分布图、厕所分布图。
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剑英公园树木分布图
剑英公园景点图
剑英公园凉亭分布图
剑英公园厕所分布图
滨水环景平台B
叶帅铜像O
狮仰英阁C
10m
北
y
x
(3,4)
o
3
1
2
1
2
3
4
4
思考:如果叶帅铜像O,仰英阁C,滨水环景平台B三个地方围成的三角形需要绿化,怎样利用我们绘制的地图求出ΔOBC的面积?
(5,0)
探究一
(2)这个三角形哪条边与坐标轴有何特殊关系?
△OBC的OC边在坐标轴上
(1)求三角形的面积需要道哪些量?
底
高
OC
BD
D
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练
习
D
如图所示,△ABC的三个顶点的坐标分别是A(1,2),B(2,-1),C(-2,-1)求△ABC的面积。
(1)这个三角形哪条边与坐标轴有何特殊关系?
△ABC的BC边平行于坐标轴
(2)尝试求出所需线段的长度?
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探究一
如果三角形有一边在坐标轴上或者与坐标轴平行时,可以直接利用三角形的面积公式进行求解。
知识点1
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叶帅铜像O
10m
北
y
x
o
3
1
2
1
2
3
4
4
探究二
思考:如果叶帅铜像O,仰英阁C,滨水环景平台B,功德阁A四个地方围成的四边形需要绿化,怎样利用我们绘制的地图求出四边形AOCB的面积?你能用多种方法求吗?
功德阁A
滨水环景平台B
狮仰英阁C
(3,4)
(5,0)
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
D
E
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
D
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
D
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
D
E
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
D
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
D
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探究二
如图所示,四边形OABC四个顶点的坐标分别是A(0,2),B(3,4),C(5,0).求四边形OABC的面积。
D
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探究二
求不规则图形的面积时,可以将其转化为几个规则图形的面积的和或差.
知识点2
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练
习
2.如图所示,△ABC三个顶点的坐标分别是
A(2,4),B(4,3),C(0,-1).求△ABC的面积。
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练
习
3.如图所示,四边形ABCD四个顶点的坐标分别是
A(1,3),B(-2,-1),C(2,-2),D(3,0).求四边形ABCD的面积。
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探究一
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★ 如果三角形有一边在坐标轴上时或有一边与坐标轴平行时,可以直接利用三角形的面积公式进行求解。
★ 求不规则图形的面积时,可以将其转化为几个规则图形的面积的差或和.
小
结
课
堂
平面直角坐标系中的面积问题:
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谢谢观看
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