Question

Ex 4 va rog Dau 100 puncte plus coroana

Answer 1

Răspuns:

Explicație pas cu pas:

a) varfuri: A,B,C,M,N,P.

   muchii: AB,BC,CA,MN,NP,PM,AM,BN,CP

fete: ABC,MNP,ABNM,BCPN,ACPM

b)

(BCN)∩(ACM)={C} (varful C)

(ABN)∩(CNP)= {N} (varful N}

(CMP)∩(ANB) - nu exista niciun punct comun=∅

(ANB)∩(MNP)= {N} (varful N)

Answer 2

Explicație pas cu pas:

4.a)

vârfuri: A,B,C,M,N,P

muchii: AB, AC, BC, MN, MP, NP, AM, BN, CP

fețe: ABC, MNP, ABNM, BCPN, ACPM

b)

i)

CP ⊂ (BCPN) => CP ⊂ (BCN)

CP ⊂ (ACPM) => CP ⊂ (ACM)

=> (BCN) ∩ (ACM) = CP

ii)

BN ⊂ (ABNM) => BN ⊂ (ABN)

BN ⊂ (CBNP) => BN ⊂ (CNP)

=> (ABN) ∩ (CNP) = BN

iii)

AM ⊂ (CAMP) => AM ⊂ (CMP)

AM ⊂ (AMNB) => AM ⊂ (ANB)

=> (CMP) ∩ (ANB) = AM

iv)

MN ⊂ (AMNB) => MN ⊂ (ANB)

MN ⊂ (MNP)

(ANB) ∩ (MNP) = MN