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陕西省渭南市2024届高三教学质量检测[渭南二模](Ⅱ)数学试卷答案

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分析根据题意，画出图形，结合图形，利用直角三角形的边角关系求出底面圆半径．

解答解：根据题意，画出图形，如图所示：

圆锥的轴截面顶角为120°，母线长l=2cm，
∴∠OSA=60°
∴圆锥的底面圆半径为
r=l•sin60°=2×$\frac{\sqrt{3}}{2}$=$\sqrt{3}$cm．
故答案为：$\sqrt{3}$cm．

点评本题考查了圆锥体的轴截面的应用问题，也考查了直角三角形的边角关系应用问题，是基础题目．

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