制作探究小素材 -- 探究椭圆的第三定义

[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABQ0AAAAVCAYAAADsOcjIAAABIElEQVR4nO3dsU3EQBCG0R90PVAFVVxMTi/E1EJODFVcFbSwrMcEPvnYEzGLxHuJR44m/jSWb44Pj+vb60sAAAAAgP+lqn58f/vLewAAAAAAf5xoCAAAAAAMREMAAAAAYCAaAgAAAAAD0RAAAAAA2LXWREMAAAAAYNNaS+LSEAAAAAC4IhoCAAAAALveu2gIAAAAAFw+TU6SQ5K8P03bBQAAAACYZF0v8+eyPZc6R8OP04yVAAAAAICZvkfDviZL9STnaHh3P2UnAAAAAGCi60vDpbb5kCTH5xkrAQAAAAAzVV3m1pK+HRr6EQoAAAAAMBINAQAAAIBdVYmGAAAAAMBINAQAAAAABqIhAAAAADAQDQEAAACAgWgIAAAAAAy+AHhjMppNSkZRAAAAAElFTkSuQmCC[/img]
小组序号和组员姓名
请在下方输入小组序号和组员姓名
高中数学选择性必修2,126页第1题
如果你有想法,知道怎么制作,请在下图开始做图,[br]如果你不知道怎么开始,可以查看作图框后面不同层次的提示。[br][br][img]data:image/png;base64,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[/img]
请在下方制作探究小素材
探究结论:
过两个定点的直线,若斜率都存在,且斜率之积为定值(定值是否有要求),则两条直线交点的轨迹方程为什么?[br][br]请在下方输入你们的探究结果
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABQ0AAAAVCAYAAADsOcjIAAABIElEQVR4nO3dsU3EQBCG0R90PVAFVVxMTi/E1EJODFVcFbSwrMcEPvnYEzGLxHuJR44m/jSWb44Pj+vb60sAAAAAgP+lqn58f/vLewAAAAAAf5xoCAAAAAAMREMAAAAAYCAaAgAAAAAD0RAAAAAA2LXWREMAAAAAYNNaS+LSEAAAAAC4IhoCAAAAALveu2gIAAAAAFw+TU6SQ5K8P03bBQAAAACYZF0v8+eyPZc6R8OP04yVAAAAAICZvkfDviZL9STnaHh3P2UnAAAAAGCi60vDpbb5kCTH5xkrAQAAAAAzVV3m1pK+HRr6EQoAAAAAMBINAQAAAIBdVYmGAAAAAMBINAQAAAAABqIhAAAAADAQDQEAAACAgWgIAAAAAAy+AHhjMppNSkZRAAAAAElFTkSuQmCC[/img][br]以下为提示
提示1:
有哪些定值(定量)?[br]有哪些变化的量(变量)?
提示2:
先做动点还是动直线?
提示3:
一条动直线做出后,另外一条动直线如何做?斜率之商的定值(2)如何用?
提示4:
动点的轨迹如何做出来?[br]1、选中动点[br]2、依次选择轨迹图标和斜率k的图标,即可得到轨迹图形,图标如下:[br][icon]/images/ggb/toolbar/mode_locus.png[/icon]和滑动条[icon]/images/ggb/toolbar/mode_textfieldaction.png[/icon],
提示5:在下图中点击播放等按钮,查看作图步骤
在下图中,点击播放等按钮,查看作图过程[br][br][img]data:image/png;base64,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[/img]
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Information: 制作探究小素材 -- 探究椭圆的第三定义