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2024届云南省高三考试卷10月联考(24-66C)数学. 考卷答案

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2024届云南省高三考试卷10月联考(24-66C)数学.试卷答案

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分析利用诱导公式化简已知条件与所求的表达式,然后求值即可.

解答解:cos(π+α)=-$\frac{1}{2}$,可得cosα=$\frac{1}{2}$,
sin(2π-α)-tan(α-3π)=-sinα-tanα,
当α是第一象限角时,-sinα-tanα=-$\frac{\sqrt{3}}{2}$$-\sqrt{3}$=$-\frac{3\sqrt{3}}{2}$,
当α是第四象限角时,-sinα-tanα=$\frac{\sqrt{3}}{2}$+$\sqrt{3}$=$\frac{3\sqrt{3}}{2}$,
故答案为:$±\frac{3\sqrt{3}}{2}$.

点评本题考查诱导公式的应用,同角三角函数的基本关系式的应用,考查计算能力.

2024届云南省高三考试卷10月联考(24-66C)数学.

关于作者: yun

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