13．已知 $\alpha$ 为第一象限角，$\beta$ 为第三象限角， $\tan \alpha+\tan \beta=4, \tan \alpha \tan \beta=\sqrt{2}+1$ ，则 $\sin (\alpha+\beta)=$
任意角和弧度制 · 历年高考数学真题与解析
本页汇总 高考真题检索 的「任意角和弧度制」高考数学真题共 2 道，覆盖 2015–2024 年，最常出题型为 解答题；含完整答案与解析。
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2015–2024
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6．（5分）《九章算术》是我国古代内容极为丰富的数学名著，书中有如下问题：＂今有委米依垣内角，下周八尺，高五尺。问：积及为米几何？＂其意思为：＂在屋内墙角处堆放米（如图，米堆为一个圆锥的四分之一），米堆底部的弧长为 8 尺，米堆的高为 5 尺，问米堆的体积和堆放的米各为多少？＂已
知1斛米的体积约为1．62立方尺，圆周率约为3，估算出堆放的米约有
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