题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010143-90731.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010143-30703.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-92283.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-86245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-42881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-57350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010145-48792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010145-85894.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010145-81883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010146-49858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010146-22718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010146-60787.gif)
(1)当点
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-57350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010146-81248.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-95501.gif)
(2)如果将上述条件“点
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-57350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-57350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-93483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-48359.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-95501.gif)
(3)在
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-42881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-92075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-42180.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-93483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-92075.gif)
的坐标;若不存在,说明理由.
答案
(1)略
(2)成立,证明略
(3)点
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-92075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010148-70768.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010146-22718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010148-74890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010148-17351.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010148-18744.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010148-69193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010149-13524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010149-99652.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010149-28161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010149-32883.gif)
由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010150-34583.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010150-31278.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010150-55112.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010150-49067.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010150-22009.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010151-75816.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010151-41350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010151-98255.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010151-18697.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010152-88701.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-95501.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-95501.gif)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010152-47047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010149-32883.gif)
由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010150-34583.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010152-94592.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010152-70584.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010152-86905.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010153-17311.gif)
∵点
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-57350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010145-85894.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010153-31372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010153-68153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010151-75816.gif)
∴在
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010151-41350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010151-98255.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010153-12812.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010154-24855.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-95501.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-42881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-92075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-42180.gif)
过点
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010154-16513.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010154-94888.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010144-42881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-92075.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010154-57036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010155-77282.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010155-69778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010155-64388.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010155-86026.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010156-38971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010156-67912.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-95501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010156-85678.gif)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010154-94888.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-42180.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010156-38971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010156-57132.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010156-90796.gif)
故点
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010147-92075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010148-70768.gif)
核心考点
试题【如图9,边长为5的正方形的顶点在坐标原点处,点分别在轴、轴的正半轴上,点是边上的点(不与点重合),,且与正方形外角平分线交于点.(1)当点坐标为时,试证明;(2】;主要考察你对平行四边形性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010139-59207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010139-81789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010140-44319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010140-73362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010140-86071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010139-81789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010140-84719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010141-95924.png)
A.10 | B.12 | C.14 | D.16 |
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010121-18659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-47813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-27839.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-53785.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-47813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-27839.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-39214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-47813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-27839.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010123-45804.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010123-81714.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010123-34670.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010123-33186.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-16110.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-29639.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-47813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010122-27839.gif)
(2)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-57562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-57562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-29639.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-38544.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-29639.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010124-24900.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010104-93038.png)
A.![]() | B.![]() | C.2 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010048-72012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010048-99737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010048-75160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010048-58219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010049-94973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010049-82574.png)
(本题10分)如图4,边长为
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010044-13295.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010044-14675.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010045-57531.gif)
|
![](http://img.shitiku.com.cn/uploads/allimg/20191030/20191030010045-90269.gif)
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