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#de4ca430-9715-4064-b94e-5616b358f62c简单fill_compute平面向量基本定理平面向量

25.已知向量a=2,b=(2,5)\vert {\overrightarrow{a}}\vert =2,\overrightarrow{b}=({2,-\sqrt{5}}),若(a+b)(2ab)=4({\overrightarrow{a}+\overrightarrow{b}})\cdot ({2\overrightarrow{a}-\overrightarrow{b}})=-4,则a\overrightarrow{a}b\overrightarrow{b}的夹角为 ___2π3\frac{2\pi }{3}___.