Uchi S nuqtada boʻlgan SABC muntazam uchburchakli piramida yon qirrasining uzunligi asosining tomonidan 2…

Asos tomoni 1, yon qirra 2 bo‘lsin. $SAB$ uchburchakda $\cos\angle SBA=\frac{1/2}{2}=\frac14$, $BH=AB\cos\angle SBA=\frac14$, $AH=\frac{\sqrt{15}}{4}$. a) $\frac{AH}{BH}=\sqrt{15}$. b) $S$ ning asosdagi proyeksiyasi $O$ $BM$ medianada yotadi, $BO=\frac{\sqrt3}{3}$, $\cos\angle SBM=\frac{BO}{SB}=\frac{\sqrt3}{6}$, $BM=\frac{\sqrt3}{2}$. $MH^2=\frac34+\frac1{16}-2\cdot\frac{\sqrt3}{2}\cdot\frac14\cdot\frac{\sqrt3}{6}=\frac{11}{16}$, demak $\frac{MH}{BH}=\sqrt{11}$.

Manba: UZBMB namunaviy test topshiriqlari (Milliy sertifikat, Matematika)