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sofiayandeyande
@sofiayandeyande
July 2022
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решите, пожалуйста , под а, б, в
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oganesbagoyan
Verified answer
MA наклонная ,DA ее проекция .AB ⊥ DA (ABCD - квадрат) ⇒.AB ⊥ MA(теорема трех перпендикуляров). ∠MAB =90°.
Аналогично, CB⊥DC ⇒ CB ⊥ MC. ∠MCB =90°.
---
Из ΔMDB : DB =MD*ctq∠MBD =6*ctq60° =6*(√3)/3 =2√3.
DB =√(AB²+AD²)=AB√2⇒
a
=AB =DB/√2 =2√3/√2 =2√3*√2/2 =
√6
.
---
D проекция точки M ; A
B - пересечение плоскостей A
BM и ABD
( ≡ A
BM и ABCD).
S(ADB) =S(MAB)*cos∠MAD .
* * *S(ADB) /S(MAB) = (AB*DA)/2)
/
(AB*MA*/2) =DA / MA =cos∠MAD * * *
S(MAB)
=S(ADB)/cos∠MAD =(a²/2)
/
(a/√(6² +a²)) =3
/
(√6 /√42) =3
/
(1/√7)=
3√7.
1 votes
Thanks 1
oganesbagoyan
После 20.00 мв
oganesbagoyan
сегодня (09.02.2016 г.) после 20.00 Моск. Вр.
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Answers & Comments
Verified answer
MA наклонная ,DA ее проекция .AB ⊥ DA (ABCD - квадрат) ⇒.AB ⊥ MA(теорема трех перпендикуляров). ∠MAB =90°.Аналогично, CB⊥DC ⇒ CB ⊥ MC. ∠MCB =90°.
---
Из ΔMDB : DB =MD*ctq∠MBD =6*ctq60° =6*(√3)/3 =2√3.
DB =√(AB²+AD²)=AB√2⇒a =AB =DB/√2 =2√3/√2 =2√3*√2/2 =√6.
---
D проекция точки M ; AB - пересечение плоскостей ABM и ABD
( ≡ ABM и ABCD).
S(ADB) =S(MAB)*cos∠MAD .
* * *S(ADB) /S(MAB) = (AB*DA)/2) / (AB*MA*/2) =DA / MA =cos∠MAD * * *
S(MAB)=S(ADB)/cos∠MAD =(a²/2)/(a/√(6² +a²)) =3/ (√6 /√42) =3/ (1/√7)=
3√7.