名校
解题方法
1 . 某种型号汽车四个轮胎半径相同,均为
,同侧前后两轮胎之间的距离(指轮胎中心之间距离)
(假定四个轮胎中心构成一个矩形),当该型号汽车开上一段上坡路
(如图所示,其中
,
),且前轮
已在
段上时,后轮中心在
位置;若前轮中心到达
处时,后轮中心在
处(假定该汽车能顺利驶上该上坡路),设前轮中心在
和
处时与地面的接触点分别为
和
,且
,
;(其它因素忽略不计)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/1bcb7fca-1cb3-4e42-aab0-5aa93d42e356.png?resizew=329)
(1)如图所示,
和
的延长线交于点
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e7f4d6badb183ac9cd31e77ef2b4dd.png)
;
(2)当
=
时,后轮中心从
处移动到
处实际移动了多少厘米?(精确到
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd680d922b6a7cccad8fbf84c4441d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2dc2abb1e1dc494b3719ba314e2a0bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597ce705d3a2fe04d29de9e81ec6250d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a0055328f2442b42040c3bcb0f847e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f82e6414e130db9bbdee92326eee13a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26afb46c388cfef8e6ed0b66be802571.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/1bcb7fca-1cb3-4e42-aab0-5aa93d42e356.png?resizew=329)
(1)如图所示,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f1f880e5ffbff036953acaca90c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3956f008cc29ca4bae44a087d5427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e7f4d6badb183ac9cd31e77ef2b4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21870b0cdc028708ea96bb0628af71e1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7a55368936281934788044d18ff0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a4fe52baabb3071d55134f157a6079.png)
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