江苏省姜堰市张甸中学高三英语一轮复习：Module 3 Unit 1《The world of our senses》 基础练习
<p> 专题10 反比例函数图象和性质及应用学校：___________姓名：___________班级：___________</p><p> 1.【黑龙江哈尔滨2015年考数学试卷】点<span word="A">A</span>（－1，），<span word="B">B</span>（－2，）在反比例函数的图象上，则，的大小关系是（</p><p> ）</p><p> （<span word="A">A</span>）＞</p><p> （<span word="B">B</span>）=</p><p> （<span word="C">C</span>）＜</p><p> （<span word="D">D</span>）不能确定</p><p> 【答案】<span word="C">C</span></p><p> 【解析】</p><p> 考点：反比例函数的性质.</p><p> 2.【辽宁辽阳2015年考数学试卷】如图，点<span word="A">A</span>是双曲线在第二象限分支上的一个动点，连接<span word="AO">AO</span>并延长交另一分支于点<span word="B">B</span>，以<span word="AB">AB</span>为底作等腰△<span word="ABC">ABC</span>，且∠<span word="ACB">ACB</span>=120°，点<span word="C">C</span>在第一象限，随着点<span word="A">A</span>的运动，点<span word="C">C</span>的位置也不断变化，但点<span word="C">C</span>始终在双曲线上运动，则<span word="k">k</span>的值为（）</p><p> <span word="A">A</span>．1</p><p> <span word="B">B</span>．2</p><p> <span word="C">C</span>．3</p><p> <span word="D">D</span>．4</p><p> 【答案】<span word="B">B</span>．</p><p> 【解析】</p><p> 试题分析：连接<span word="CO">CO</span>，过点<span word="A">A</span>作<span word="AD">AD</span>⊥<span word="x">x</span>轴于点<span word="D">D</span>，过点<span word="C">C</span>作<span word="CE">CE</span>⊥<span word="x">x</span>轴于点<span word="E">E</span>，∵连接<span word="AO">AO</span>并延长交另一分支于点<span word="B">B</span>，以<span word="AB">AB</span>为底作等腰△<span word="ABC">ABC</span>，且∠<span word="ACB">ACB</span>=120°，∴<span word="CO">CO</span>⊥<span word="AB">AB</span>，∠<span word="CAB">CAB</span>=30°，则∠<span word="AOD">AOD</span>+∠<span word="COE">COE</span>=90°，∵∠<span word="DAO">DAO</span>+∠<span word="AOD">AOD</span>=90°，∴∠<span word="DAO">DAO</span>=∠<span word="COE">COE</span>，又∵∠<span word="ADO">ADO</span>=∠<span word="CEO">CEO</span>=90°，∴△<span word="AOD">AOD</span>∽△<span word="OCE">OCE</span>，∴=<span word="tan">tan</span>60°=，则=3，∵点<span word="A">A</span>是双曲线在第二象限分支上的一个动点，∴=<span word="AD">AD</span>?<span word="DO">DO</span>=×6=3，∴<span word="k">k</span>=<span word="EC">EC</span>×<span word="EO">EO</span>=1，则<span word="EC">EC</span>×<span word="EO">EO</span>=2．故选<span word="B">B</span>．</p>
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