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【332420】3.1.2成比例线段

时间:2025-01-21 12:46:05 作者: 字数:1165字








第三章 图形的相似

3.1比例线段

3.1.2成比例线段


基础导练

1.如果 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> 成立,那么下列各式一定成立的是(

A <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> B <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a>

 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> C <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> D <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a>

2.a:b:c=3:5:7,3a+2b-4c=9,a+b+c的值等于(

A-3 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> B-5   C-7   D-15

3.某班同学要测量学校升国旗的旗杆高度,在同一时刻,量得某同学的身高是1.5米,影长是1米,且旗杆的影长为8米,则旗杆的高度是(

A.12 B11 C10 D9


能力提升

4.若 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a>bd <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> 0),则 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a>

5.已知 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> ,则 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a>

6.在△ABC中,AB12,点EAC上,点DAB上,若AE6EC4,且 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> .

    1. AD的长;

    2. 试问 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> 能成立吗?请说明理由.














参考答案

1.D 2.D 3.A

4. <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> 5. <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a>

6.解:(1)AD= <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> ;

(2),理由如下:

AB12AD <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> ,故DB <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> .

于是 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> .

 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> ,故 <a href="/tags/175/" title="线段" class="c1" target="_blank">线段</a> .