[江西大联考]江西省2024届高三年级上学期11月联考数学考试卷

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[江西大联考]江西省2024届高三年级上学期11月联考数学考试卷试卷答案

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分析利用向量的模的运算法则求解即可.

解答解:向量$\overrightarrow{a,}\overrightarrow{b}$满足$|\overrightarrow{a}|$=$\sqrt{3}$,$|\overrightarrow{b}|$=4,$\overrightarrow{a}$与$\overrightarrow{b}$的夹角为150°,
则|2$\overrightarrow{a}$-$\overrightarrow{b}$|=$\sqrt{4{\overrightarrow{a}}^{2}-4\overrightarrow{a}•\overrightarrow{b}+{\overrightarrow{b}}^{2}}$=$\sqrt{12-16\sqrt{3}×(-\frac{\sqrt{3}}{2})+16}$=$2\sqrt{13}$.
故答案为:$2\sqrt{13}$.

点评本题考查平面向量数量积的运算,考查计算能力.