题目
题型:不详难度:来源:
(理)某种型号汽车四个轮胎半径相同,均为
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042755-45902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042755-66492.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042755-88638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042755-29624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042755-41672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042755-56955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-19624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-89317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-50956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-46493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042755-56955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-50956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-47834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-67760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-59746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-24480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-64138.png)
(1)如图(2)所示,
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042757-26519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042757-65370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042757-93528.png)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042757-34384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042757-36816.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-39268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-94034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-89317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042756-46493.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-39268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-10229.png)
过点B作BM⊥OE,BN⊥OH,则Rt
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-25240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-30866.png)
在Rt
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-30866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-50074.png)
(2)98cm。
解析
试题分析:(1) 由OE//BC,OH//AB,得∠EOH=
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-39268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-10229.png)
过点B作BM⊥OE,BN⊥OH,则
Rt
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-25240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
∠BOM=
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-30866.png)
在Rt
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-30866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-50074.png)
(2)由(1)结论得OE=
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-74729.png)
设OH=x,OF=y,
在
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
2802=x2+(
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-74729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-74729.png)
解得x
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-84487.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042758-74933.png)
2802=y2+(
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-74729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-74729.png)
解得y
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-84487.png)
所以,FH=y-x
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042759-84487.png)
即后轮中心从F处移动到H处实际移动了约98cm. 14分
点评:在解应用题时,我们要分析题意,分清已知与所求,再根据题意正确画出示意图,通过这一步可将实际问题转化为可用数学方法解决的问题。解题中,要注意正、余弦定理的灵活应用。
核心考点
试题【(本题满分14分) 本题共有2个小题,第1小题满分6分,第2小题满分8分.(理)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】;主要考察你对解三角形应用等知识点的理解。[详细]
举一反三
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042746-74723.png)
(1) 求m的值,并求f(x)的单调递增区间;
(2) 在△ABC中,角A、B、C的对边a、b、c,若
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042746-23022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042746-52869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042740-34731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042740-86934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042741-93254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042740-34731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042741-80771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042741-64946.png)
(1)求角
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042741-52055.png)
(2)求值:
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042742-82908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042730-63009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042731-70770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042731-22350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042731-47291.png)
(1)求角
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042731-80687.png)
(2)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042731-64765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042730-63009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042732-63016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042724-91158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042724-20201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042724-30131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042724-52938.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042724-92600.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042724-91023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042725-12577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042715-17480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042715-41809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042716-25529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042716-73432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042716-91728.png)
(1)求角A的大小;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042716-44831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191020/20191020042715-17480.png)
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