Progressi aritmetice+geometrice impreuna cu functia de gradul 1 si 2 Flashcards

1
Q

ratia pregresiei aritmetice

A

r=an-(an-1)

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2
Q

termenul general al progresiei aritmetice

A

an=a1+(n-1)*r

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3
Q

termenul general al progresiei geomtrice

A

bn=b1* q^n-1

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4
Q

Suma primilor n termeni al progresiei geomtrice

A

Sn=b1* q^n -1/q-1

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5
Q

ratia progresiei geomtrice

A

q=bn/bn-1

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6
Q

Suma primilor n termeni al progresiei aritmetice

A

Sn= (a1+an)*n/2

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7
Q

intersectia graficului cu axele functiei 1

A

Gf cu ox=>f(x)=0,Gf cu oy=>f(0)

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8
Q

Monotonia functiei 1

A

in functie de a

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9
Q

semnul functiei 1

A

-infinit, 0 semn contrat lui a
0,plus infinit semnul lui a

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10
Q

intersectia functiei cu axele functiei 2

A

Gf cu OX=>f(x)=0
Gf cu OY=>f(0)

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11
Q

ecuatia de gradul 2

A

delta =b^2-4ac
delta>0
Delta<0
delta=0

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12
Q

Monotonia functiei de gradul 2

A

a<0,a>0

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13
Q

Axa de simetrie

A

x=-b/a

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14
Q

Coordonatele varfului parabolei

A

V(-b/2a ; -delta/4a

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15
Q

Minimul, maximul,imaginea functiei de gradul 2

A

a<0 ; a>0

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16
Q

Relatiile lui Viette

A

S=x1+x2=-b/a
P=x1*x2=c/a

17
Q

Descompunerea functiei in produs de factorii de gradul 1

A

a(x-x1)(x-x2)

18
Q

forma canonica a functiei 2

A

a(x+b/2a)^2 -delta/4a

19
Q

pozitia relativa a dreptei

A

sistem din f(x) si d(mx+n)=y