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【332383】2.5.2 第2课时 切线的性质

时间:2025-01-21 12:44:06 作者: 字数:1667字
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2课时 切线的性质

1.如图,AB是⊙O的直径,点C在⊙O上,过点C作⊙O的切线交AB的延长线于点D,连接OCAC.若∠D=50°,则∠A的度数是(  )

A20° B25° C40° D50°

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>

1题图 第2题图 第3题图

  1. 如图,△ABC的边AC与⊙O相交于CD两点,且经过圆心O,边AB与⊙O相切,切点为B.如果∠A=34°,那么∠C等于(  )

A28° B33° C34° D56°

3..如图,PA为⊙O的切线,A为切点,PO交⊙O于点BPA=8OA=6sin∠APO的值为(  )

A. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a> B. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a> C. <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a> D.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>

4.如图,AT切⊙O于点AAB是⊙O的直径.若∠ABT=40°,则∠ATB=_________.

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>




4题图 第5题图 第6题图

5.如图,AB是⊙O的直径,AD是⊙O的切线,点C在⊙O上,BC∥ODAB=2OD=3,则BC的长为_________.

6.如图,AB是⊙O的直径,CD是⊙O上的点,∠CDB=30°,过点C作⊙O的切线交AB的延长线于E,则sinE的值为_________.

7 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a> .如图,已知点ORt△ABC斜边AC上一点,以点O为圆心,OA长为半径的⊙OBC相切于点E,与AC相交于点D,连接AE

求证:AE平分∠CAB









8.已知⊙O中,AC为直径,MAMB分别切⊙O于点AB
 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/951/" title="切线" class="c1" target="_blank">切线</a>
1)如图①,若∠BAC=23°,求∠AMB的大小;
(Ⅱ)如图②,过点BBD∥MA,交AC于点E,交⊙O于点D,若BD=MA,求∠AMB的大小.