retas Flashcards

1
Q

distância entre 2 pontos

A

d = √(∆x^2 + ∆y^2)

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2
Q

condição retas paralelas

A

a1/a2 = b1/b2 ≠ c1/c2

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3
Q

condição retas concorrentes

A

a1/a2 ≠ b1/b2

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4
Q

condição retas congruentes (iguais)

A

a1/a2 = b1/b2 = c1/c2

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5
Q

AB (vetor)

A

B-A

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6
Q

|vetor|

A

√(x^2+y^2)

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7
Q

ortocentro

A

encontro das alturas

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8
Q

baricentro

A

encontro das medianas

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9
Q

baricentro (G)=

A

(A+B+C)/3

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10
Q

incentro

A

bissetrizes; círculo inscrito (dentro)

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11
Q

incentro (I) =

A

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

*a=BC
b=AC
c=AB

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12
Q

feixe de retas concorrentes

A

k1(a1x+b1x+c1) +k2(a2y+b2y+c2)

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13
Q

feixe de retas paralelas

A

ax+by+c’

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14
Q

coeficiente angular

A

m = tg α

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15
Q

tg α (m)

A

|(ms-mr)/(1+(ms•mr))|

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16
Q

distância ponto e reta

A

|(ax+by+c)/√(a^2+b^2)|

17
Q

distância origem e reta

A

|c/√(a^2+b^2)|

18
Q

distância retas paralelas

A

|(c-c’)/√(a^2+b^2)|