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【332449】3.4 第2课时 圆周角和直径的关系及圆内接四边形

时间:2025-01-21 12:47:39 作者: 字数:1625字
简介:

3.4 圆周角和圆心角的关系

2课时 圆周角和直径的关系及圆内接四边形

1.如图,AB是⊙O的直径,∠ABC30°,则∠BAC的度数为(  )

A90° B60° C45° D30°

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a>

2.如图所示,AB是⊙O的直径,ADDEAEBD交于点C,则图中与∠BCE相等的角有(  )

A2 B3 C4 D5

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a>

3.圆内接四边形ABCDABC的度数之比为346,则D的度数为(  )

A60 B80 C100 D120

4.如图,在ABC中,ABO 的直径,B=60°BOD=100°,则C的度数为(  )

A50° B60° C70° D80°

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a>

5.如图,已知EF是⊙O的直径,把∠A60°的直角三角板ABC的一条直角边BC放在直线EF上,斜边AB与⊙O交于点P,点B与点O重合.将三角板ABC沿OE方向平移,使得点B与点E重合为止.设∠POFx°,则x的取值范围是(  )

A30x60 B30x90 C30x120 D <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a> 60x120

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a>

6.如图,等边三角形ABC的三个顶点都在⊙O,D <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a> 上任一点(不与AC重合),则∠ADC的度数是________.

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a>

7.已知如图,四边形ABCD内接于⊙O,若∠A60°,则∠DCE .

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a>





8.如图,AB为半圆O的直径,ADBC相交于点P,CD=3,AB=4,tan∠BPD的值.

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a>

9.如图,⊙C经过坐标原点,且与两坐标轴分别交于点A与点B,点A的坐标为(04),M是圆上一点,∠BMO=120°

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/129/" title="四边形" class="c1" target="_blank">四边形</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/948/" title="圆周角" class="c1" target="_blank">圆周角</a> <a href="/tags/950/" title="直径" class="c1" target="_blank">直径</a> <a href="/tags/1254/" title="圆周" class="c1" target="_blank">圆周</a> 1)求证:AB为⊙C直径.

2)求⊙C的半径及圆心C的坐标.