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【327654】2022年甘肃省武威中考数学真题

时间:2025-01-20 19:55:33 作者: 字数:21883字
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2022年甘肃省武威中考数学真题

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总分

得分





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得分




一、选择题

1. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的相反数为(       
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B
2
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

2. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的余角的大小是(  )
A
50°
B
60°
C
140°
D
160°

3.不等式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的解集是(  )
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

4.用配方法解方程x2-2x=2时,配方后正确的是(  )
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

5. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>      
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

6.2022416日,神舟十三号载人飞船返回舱在东风着陆场成功着陆,飞行任务取得圆满成功.“出差”太空半年的神舟十三号航天员乘组顺利完成既定全部任务,并解锁了多个“首次”.其中,航天员们在轨驻留期间共完成37项空间科学实验,如图是完成各领域科学实验项数的扇形统计图,下列说法错误的是(     
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
A
.完成航天医学领域实验项数最多
B
.完成空间应用领域实验有5
C
.完成人因工程技术实验项数比空间应用领域实验项数多
D
.完成人因工程技术实验项数占空间科学实验总项数的24.3%

7.大自然中有许多小动物都是“小数学家”,如图1,蜜蜂的蜂巢结构非常精巧、实用而且节省材料,多名学者通过观测研究发现:蜂巢巢房的横截面大都是正六边形.如图2,一个巢房的横截面为正六边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,若对角线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的长约为8mm,则正六边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的边长为(     
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
A
2mm
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
4mm

8.《九章算术》是中国古代的一部数学专著,其中记载了一道有趣的题:“今有凫起南海,七日至北海;雁起北海,九日至南海.今凫雁俱起,问何日相逢?”大意是:今有野鸭从南海起飞,7天到北海;大雁从北海起飞,9天到南海.现野鸭从南海、大雁从北海同时起飞,问经过多少天相遇?设经过x天相遇,根据题意可列方程为(     
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

9.如图,一条公路(公路的宽度忽略不计)的转弯处是一段圆弧( <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ),点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 是这段弧所在圆的圆心,半径 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,圆心角 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则这段弯路( <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> )的长度为(     
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

10.如图1,在菱形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,动点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 从点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 出发,沿折线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 方向匀速运动,运动到点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 停止.设点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的运动路程为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的函数图象如图2所示,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的长为(     
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
A
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
C
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

评卷人

得分




二、填空题

11.计算: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> _____________

12.因式分解: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> _________________

13.若一次函数y=kx2的函数值y随着自变量x值的增大而增大,则k=_________(写出一个满足条件的值).

14.如图,菱形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中,对角线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 相交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的长为_________cm
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

15.如图,在⊙O内接四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中,若 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ________ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

16.如图,在四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,在不添加任何辅助线的前提下,要想四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 成为一个矩形,只需添加的一个条件是_______________
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

17.如图,以一定的速度将小球沿与地面成一定角度的方向击出时,小球的飞行路线是一条抛物线.若不考虑空气阻力,小球的飞行高度 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> (单位:m)与飞行时间 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> (单位:s)之间具有函数关系: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则当小球飞行高度达到最高时,飞行时间 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> _________s
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

18.如图,在矩形ABCD中,AB=6cmBC=9cm,点EF分别在边ABBC上,AE=2cmBDEF交于点G,若GEF的中点,则BG的长为____________cm
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

评卷人

得分




三、解答题

19.计算: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

20.化简: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

21.中国清朝末期的几何作图教科书《最新中学教科书用器画》由国人自编(图1),书中记载了大量几何作图题,所有内容均用浅近的文言文表述,第一编记载了这样一道几何作图题:

原文

释义

甲乙丙为定直角.
以乙为圆心,以任何半径作丁戊弧;
以丁为圆心,以乙丁为半径画弧得交点己;
再以戊为圆心,仍以原半径画弧得交点庚;
乙与己及庚相连作线.

如图2 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为直角.
以点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为圆心,以任意长为半径画弧,交射线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 分别于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
以点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为圆心,以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 长为半径画弧与 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
再以点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为圆心,仍以 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 长为半径画弧与 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
作射线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>


 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(1)
根据以上信息,请你用不带刻度的直尺和圆规,在图2中完成这道作图题(保留作图痕迹,不写作法);
(2)
根据(1)完成的图,直接写出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的大小关系.

22.灞陵桥位于甘肃省渭源县城南清源河(渭河上游)上,始建于明洪武初年,因“渭水绕长安,绕灞陵,为玉石栏杆灞陵桥”之语,得名灞陵桥(图1),该桥为全国独一无二的纯木质叠梁拱桥.某综合实践研究小组开展了测量汛期某天“灞陵桥拱梁顶部到水面的距离”的实践活动,过程如下:
方案设计:如图2,点C为桥拱梁顶部(最高点),在地面上选取AB两处分别测得∠CAF和∠CBF的度数(ABDF在同一条直线上),河边D处测得地面AD到水面EG的距离DECFG在同一条直线上,DFEGCGAFFG=DE).
数据收集:实地测量地面上AB两点的距离为8.8m,地面到水面的距离DE=1.5m,∠CAF=26.6°,∠CBF=35°
问题解决:求灞陵桥拱梁顶部C到水面的距离CG(结果保留一位小数).
参考数据:sin26.6°≈0.45cos26.6°≈0.89tan26.6°≈0.50sin35°≈0.57cos35°≈0.82tan35°≈0.70
根据上述方案及数据,请你完成求解过程.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

23.24届冬季奥林匹克运动会于20222420日在我国北京-张家口成功举办,其中张家口赛区设有四个冬奥会竞赛场馆,分别为:A.云顶滑雪公园、B.国家跳台滑雪中心、C.国家越野滑雪中心、D.国家冬季两项中心.小明和小颖都是志愿者,他们被随机分配到这四个竞赛场馆中的任意一个场馆的可能性相同.
(1)
小明被分配到D.国家冬季两项中心场馆做志愿者的概率是多少?
(2)
利用画树状图或列表的方法,求小明和小颖被分配到同一场馆做志愿者的概率.

24.受疫情影响,某初中学校进行在线教学的同时,要求学生积极参与“增强免疫力、丰富学习生活”为主题的居家体育锻炼活动,并实施锻炼时间目标管理.为确定一个合理的学生居家锻炼时间的完成目标,学校随机抽取了30名学生周累计居家锻炼时间(单位:h)的数据作为一个样本,并对这些数据进行了收集、整理和分析,过程如下:
(
数据收集)
7
       8       6       5       9       10       4       6       7       5       11       12       8       7       6
4
       6       3       6       8       9       10       10       13       6       7       8       3       5       10
(
数据整理)
将收集的30个数据按ABCDE五组进行整理统计,并绘制了如图所示的不完整的频数分布直方图(说明:A <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> B <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> C <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> D <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> E <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,其中 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 表示锻炼时间);
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(
数据分析)

统计量

平均数

众数

中位数

锻炼时间(h

7.3

 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

7


根据以上信息解答下列问题:
(1)
填空: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ___________
(2)
补全频数分布直方图;
(3)
如果学校将管理目标确定为每周不少于7h,该校有600名学生,那么估计有多少名学生能完成目标?你认为这个目标合理吗?说明理由.

25.如图,BC是反比例函数y= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> k≠0)在第一象限图象上的点,过点B的直线y=x-1x轴交于点ACDx轴,垂足为DCDAB交于点EOA=ADCD=3
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(1)
求此反比例函数的表达式;
(2)
BCE的面积.

26.如图, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 内接于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的直径, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 延长线上一点,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(1)
求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的切线;
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,求线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的长.

27.已知正方形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为对角线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 上一点.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(1)(
建立模型)如图1,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)(
模型应用)如图2 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 延长线上一点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
判断 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的形状并说明理由;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的中点,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的长.
(3)(
模型迁移)如图3 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 延长线上一点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .求证: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

28.如图1,在平面直角坐标系中,抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 轴交于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 两点,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 轴上,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 分别是线段 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 上的动点(点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 不与点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 重合).
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(1)
求此抛物线的表达式;
(2)
连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 并延长交抛物线于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 轴,且 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 时,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的长;
(3)
连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
如图2,将 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 沿 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 轴翻折得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,当点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 在抛物线上时,求点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的坐标;
如图3,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 时,求 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的最小值.

参考答案

1.B

【解析】
根据相反数的概念得出答案.
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的相反数为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故选:B

2.A

【解析】
90°减去40°即可求解.
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的余角= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故选A

3.C

【解析】
按照解一元一次不等式的步骤:①去分母;②去括号;③移项;④合并同类项;⑤化系数为1即可得出答案.
解:3x-24
移项得:3x4+2
合并同类项得:3x6
系数化为1得:x2
故选:C

4.C

【解析】
方程左右两边都加上1,左边化为完全平方式,右边合并即可得到结果.
解:x2-2x=2
x2-2x+1=2+1,即(x-12=3
故选:C

5.D

【解析】
根据△ABC∽△DEF,可以得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 然后根据BC=6EF=4,即可求解.
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故选D

6.B

【解析】
根据扇形统计图中的数据逐项分析即可.
解:A.由扇形统计图可得,完成航天医学领域实验项数最多,所以A选项说法正确,故A选项不符合题意;
B
.由扇形统计图可得,完成空间应用领域实验占完成总实验数的5.4%,实验次项数为5.4%×37≈2项,所以B选项说法错误,故B选项符合题意;
C
.完成人因工程技术实验占完成总实验数的24.3%,完成空间应用领域实验占完成总实验数的5.4%,所以完成人因工程技术实验项数比空间应用领域实验项数多,说法正确,故C选项不符合题意;
D
.完成人因工程技术实验项数占空间科学实验总项数的24.3%,所以D选项说法正确,故D选项不符合题意.
故选:B

7.D

【解析】
如图,连接CFAD交于点O,易证△COD为等边三角形,从而CD=OC=OD= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> AD,即可得到答案.
连接CFAD交于点O
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为正六边形,
∴∠
COD=  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> =60°CO=DOAO=DO= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> AD=4mm
∴△
COD为等边三角形,
CD=CO=DO=4mm
即正六边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的边长为4mm
故选:D
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

8.A

【解析】
设总路程为1,野鸭每天飞 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,大雁每天飞 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,当相遇的时候,根据野鸭的路程+大雁的路程=总路程即可得出答案.
解:设经过x天相遇,
根据题意得: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> x+ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> x=1
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> + <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> x=1
故选:A

9.C

【解析】
根据题目中的数据和弧长公式,可以计算出这段弯路( <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> )的长度.
解:∵半径OA=90m,圆心角∠AOB=80°
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 这段弯路( <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> )的长度为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故选C

10.B

【解析】
根据图1和图2判定三角形ABD为等边三角形,它的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 解答即可.
解:在菱形ABCD中,∠A=60°
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
∴△
ABD为等边三角形,
AB=a,由图2可知,△ABD的面积为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
∴△
ABD的面积 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
解得:a= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故选B

11. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

【解析】
根据单项式的乘法直接计算即可求解.
解:原式= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

12. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

【解析】
原式提取m,再利用平方差公式分解即可.
解:原式=mm2-4=mm+2)(m-2),
故答案为:mm+2)(m-2

13.2(答案不唯一)

【解析】
根据函数值y随着自变量x值的增大而增大得到k0,写出一个正数即可.
解:∵函数值y随着自变量x值的增大而增大,
k0
k=2(答案不唯一).
故答案为:2(答案不唯一).

14.8

【解析】
利用菱形对角线互相垂直且平分的性质结合勾股定理得出答案即可.
解:  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 菱形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中,对角线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 相交于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> AC=4
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> AO=OC= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> AC=2
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故答案为:8

15.80

【解析】
根据圆内接四边形的性质计算出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 即可.
解:∵ABCD是⊙O的内接四边形,∠ABC100°
∴∠
ABC+∠ADC=180°
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
故答案为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

16. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> (答案不唯一)

【解析】
)先证四边形ABCD是平行四边形,再由矩形的判定即可得出结论.
解:需添加的一个条件是∠A=90°,理由如下:
ABDCADBC
四边形ABCD是平行四边形,
又∵∠A=90°
平行四边形ABCD是矩形,
故答案为:∠A=90°(答案不唯一).

17.2

【解析】
把一般式化为顶点式,即可得到答案.
解:∵h=-5t2+20t=-5t-22+20
-50
t=2时,h取最大值20
故答案为:2

18. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

【解析】
根据矩形的性质可得AB=CD=6cm,∠ABC=∠C=90°ABCD,从而可得∠ABD=∠BDC,然后利用直角三角形斜边上的中线可得EG=BG,从而可得∠BEG=∠ABD,进而可得∠BEG=∠BDC,再证明EBF∽△DCB,利用相似三角形的性质可求出BF的长,最后在RtBEF中,利用勾股定理求出EF的长,即可解答.
解:∵四边形ABCD是矩形,
AB=CD=6cm,∠ABC=∠C=90°ABCD
∴∠
ABD=∠BDC
AE=2cm
BE=AB-AE=6-2=4cm),
GEF的中点,
EG=BG= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> EF
∴∠
BEG=∠ABD
∴∠
BEG=∠BDC
∴△
EBF∽△DCB
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
BF=6
EF= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> cm),
BG= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> EF= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> cm),
故答案为: <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

19. <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

【解析】
根据二次根式的混合运算进行计算即可求解.
解:原式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .

20.1

【解析】
将除法转化为乘法,因式分解,约分,根据分式的加减法法则化简即可得出答案.
解:原式 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
=1

21.(1)见解析
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

【解析】
1)根据题意作出图形即可;
2)连接DFEG,可得  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 均为等边三角形, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,进而可得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(1)
解:(1)如图:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
理由:连接DFEG如图所示
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
BD=BF=DFBE=BG=EG
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 均为等边三角形
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

22.16.9m

【解析】
BF=x m,根据题意可得:DE=FG=1.5m,然后在RtCBF中,利用锐角三角函数的定义求出CF的长,再在RtACF中,利用锐角三角函数的定义列出关于x的方程,进行计算即可解答.
解:设BF=x m
由题意得:
DE=FG=1.5m
RtCBF中,∠CBF=35°
CF=BF•tan35°≈0.7xm),
AB=8.8m
AF=AB+BF=8.8+xm
RtACF中,∠CAF=26.6°
∴tan26.6°=
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ≈0.5
x=22
经检验:x=22是原方程的根,
CG=CF+FG=0.7x+1.5=16.9m),
灞陵桥拱梁顶部C到水面的距离CG约为16.9m

23.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

【解析】
1)直接由概率公式求解即可;
2)画树状图,共有16种等可能的结果,其中小明和小颖被分配到同一场馆做志愿者的结果有4种,再由概率公式求解即可.
(1)
解:小明被分配到D.国家冬季两项中心场馆做志愿者的概率是 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)
解:画树状图如下:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
共有16种等可能的结果,其中小明和小颖被分配到同一场馆做志愿者的结果有4种,
小明和小颖被分配到同一场馆做志愿者的概率为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

24.(1)6
(2)
见解析
(3)340
名;合理,见解析

【解析】
1)由众数的定义可得出答案.
2)结合收集的数据,求出C组的人数,即可补全频数分布直方图.
3)用总人数乘以样本中每周不少于7h的人数占比,即可得出答案;过半的学生都能完成目标,即目标合理.
(1)
由数据可知,6出现的次数最多,
m=6
故答案为:6
(2)
补全频数分布直方图如下:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(3)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
答:估计有340名学生能完成目标;
目标合理.
理由:过半的学生都能完成目标.

25.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)1

【解析】
1)根据直线y=x-1求出点A坐标,进而确定OAAD的值,再确定点C的坐标,代入反比例函数的关系式即可;
2)求出点E坐标,进而求出EC,再求出一次函数与反比例函数在第一象限的交点B的坐标,由三角形的面积的计算方法进行计算即可.
(1)
解:当y=0时,即x-1=0
x=1
即直线y=x-1x轴交于点A的坐标为(10),
OA=1=AD
又∵CD=3
C的坐标为(23),
而点C23)在反比例函数y= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的图象上,
k=2×3=6
反比例函数的图象为y= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)
解:方程组 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的正数解为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
B的坐标为(32),
x=2时,y=2-1=1
E的坐标为(21),即DE=1
EC=3-1=2
SBCE= <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ×2×3-2=1
答:BCE的面积为1

26.(1)见解析
(2)4

【解析】
1)根据直径所对的圆周角是90°,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,根据圆周角定理得到 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,推出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,即可得出结论;
2)根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,再根据勾股定理得出CE即可.
(1)
证明:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的直径,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的半径,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的切线;
(2)
由(1)知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中,∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

27.(1)见解析
(2)①
等腰三角形,见解析;② <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(3)
见解析

【解析】
(1)
根据正方形的性质,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 即可.
2)①根据(1)的证明,证明∠FBG=∠FGB即可.
过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,垂足为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .利用三角函数求得FHAH的长度即可.
(3)
证明  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 即可.
(1)
)证明:∵四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为正方形, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为对角线,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为等腰三角形.理由如下:
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为正方形,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
由(1)得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
又∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为等腰三角形.
如图1,过点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,垂足为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
四边形 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 为正方形,点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的中点, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
由①知 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(3)
如图2,∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
由(1)得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
由(2)得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> .
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

28.(1) <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(3)①
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ;② <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>

【解析】
1)把点B代入抛物线关系式,求出a的值,即可得出抛物线的关系式;
2)根据抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 可求出点A的坐标,点C的坐标,根据 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,利用三角函数,求出DE的长,再求出点E的坐标,根据点P与点E的横坐标相同,得出点P的横坐标,代入抛物线的关系式,求出点P的纵坐标,即可得出EP的值,最后求出DP的值即可;
3)①连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,设 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,求出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,得出点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,将其代入抛物线关系式,列出关于a的方程,解方程,求出a的值,即可得出G的坐标;
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 下方作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,证明 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,得出 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,说明当 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 三点共线时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 最小,最小为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,过 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,垂足为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,先证明∠CAH=45°,算出AC长度,即可求出CHAH,得出HQ,最后根据勾股定理求出CQ的长度即可得出结果.
(1)
解:∵ <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 在抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 上,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,即 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(2)
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 中,令 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 轴,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
(3)
连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 于点 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,如图1所示:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 关于 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 轴对称,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,则 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 在抛物线 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 上,
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
解得 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> (舍去), <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 下方作 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,连接 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,如图2所示:
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 三点共线时, <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 最小,最小为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> ,垂足为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>  <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>
 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a> 的最小值为 <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1010/" title="甘肃省" class="c1" target="_blank">甘肃省</a> <a href="/tags/1098/" title="武威" class="c1" target="_blank">武威</a> <a href="/tags/1094/" title="甘肃" class="c1" target="_blank">甘肃</a>