VG2 Flashcards

1
Q

AB (vetor)

A

B-A = (xb-xa, yb-ya)

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2
Q

a • v

A

(ax, ay)

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3
Q

|v|

A

sqrt(x^2+y^2)

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4
Q

mesma direção

A

v = k • u

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5
Q

u • v

A

|u|•|v|• cos x

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6
Q

ortocentro

A

encontro das alturas

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7
Q

baricentro

A

encontro das medianas

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8
Q

fórmula baricentro

A

G = (A+B+C)/3

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9
Q

incentro

A

encontro das bissetrizes, círculo dentro

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10
Q

fórmula incentro

A

I = (Aa + Bb + Cc)/(a+b+c)

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11
Q

circuncentro

A

encontro das mediatrizes; círculo fora

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12
Q

condição para alinhamento de 3 pontos

A

|x1 y1 1|
|x2 y2 1| = 0
|x3 y3 1|

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13
Q

determinante matriz 3x3

A

escolhe uma linha ou coluna e número por número dela vc exclui sua linha e coluna e faz det da matriz 2x2 some o primeiro subtraia o segundo e some o último

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14
Q

equacao da reta

A

ax + by + c = 0

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15
Q

retas paralelas

A

a1/a2 = b1/b1 ≠ c1/c2

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16
Q

retas concorrentes

A

a1/a1 ≠ b1/b2

17
Q

retas coincidentes

A

a1/a2 = b1/b2 = c1/c2

18
Q

feixe de retas paralelas

A

C varia

19
Q

coeficiente angular

A

m = tga = dX/dY = a/b

20
Q

coeficiente anular de retas paralelas

A

iguais

21
Q

coeficiente angular retas perpendiculares

A

multiplica = -1

22
Q

ângulo entre 2 retas

A

tga = |(ms-mr)/(1+ms•mr)|

23
Q

distância entre origem e reta

A

|c/sqrt(a^2+b^2)|

24
Q

distância entre ponto e reta

A

|ax + by + c/sqrt(a^2+b^2)|

25
Q

distância entre retas paralelas

A

|c-c’/sqrt(a^2+b^2)|

26
Q

equação da circunferência

A

(x-xc)^2 + (y-yc)^2 = R^2

27
Q

soma das raizes

A

-b/a

28
Q

produto das raizes

A

(-1)^n • c/a

29
Q

cos 3a =

A

4 cos^3 - 3 cos a

30
Q

tg 2a

A

2 tga/ (1-tg^2 a)

31
Q

sen a + sen b

A

2 sen (a+b/2) cos (a-b/2)

32
Q

2 cos a cos b

A

cos (a-b) + cos (a+b)

33
Q

c^2 =

A

a^2 + b^2 - 2ab cos C

34
Q

lei dos senos

A

a/senA = b/senB = c/senC = 2R

(círculo fora)