17．（2023•郑州三模）已知ΔABC\Delta ABCΔABC中，AB=AC=22AB=AC=2\sqrt{2}AB=AC=22，∣AB→+λBC→∣min=2(λ∈R)\vert \overrightarrow{AB}+\lambda \overrightarrow{BC}\vert _{min}=2(\lambda \in R)∣AB+λBC∣min=2(λ∈R)，AM→=12MB→\overrightarrow{AM}=\frac{1}{2}\overrightarrow{MB}AM=21MB，AP→=sin2α⋅AB→+cos2α⋅AC→\overrightarrow{AP}=\sin ^{2}\alpha \cdot \overrightarrow{AB}+\cos ^{2}\alpha \cdot \overrightarrow{AC}AP=sin2α⋅AB+cos2α⋅AC，α∈[π6\alpha \in [\frac{\pi }{6}α∈[6π，π3]\frac{\pi }{3}]3π]，则∣MP→∣\vert \overrightarrow{MP}\vert∣MP∣的取值范围为((( )))