问题 填空题

△ABC中,∠C=90°,∠B=60°,AC=3,以C为圆心,r为半径作⊙C,如果点B在圆内,而点A在圆外,那么r的取值范围是______.

答案

因为△ABC中,∠C=90°,∠B=60°,所以∠A=30°,得到AC=

3
BC,又AC=3,得BC=
3

∵点B在圆内,∴r>BC=

3

∵点A在圆外,∴r<AC=3.

因此:

3
<r<3.

故答案是:

3
<r<3.

阅读理解

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