PROYECTO DE MATEMÁTICAS IIIB

1. Camila Rangel
Gabriela Polanco
Víctor Fernández
Antonio Vilchis
Geometría analítica
Segundo Parcial

2. P1(-3.9,2.5) recta rosa
P2(-1.6,-2.8)Verde
P3( 3.4,-4) morado
pendientes:
a) m= 2.5-1 = 1.5 = 0.5 = 1
-1-(3.9) 2.9 2
b) m= -2.8-0 = -2.8 = 2
-2.9 – (-1.5) -1.4
c) m= -4-0.4 = -4.4 = 11
3-3.4 -0.4

3. * Ángulo de inclinación
a) 26º 33´54.18´´
b) 63º 26´5.82´´
c) 84º 48´20.06´´
* Distancia
a) d= (2.5-1)^2 + (-1 – (-3))^2
d= 2.25 + 4
d=2.5
b) d= (-2.8 – 0)^2 + (-2.9 -1.5)^2
d= 7.89 + 1.96
d= 9.8
d= 3.13
c) d= (-4 – 0.4)^2 + (3 – 3.9)^2
d= 19.36 + 0.81
d= 20.17
d= 4.49

4. *P1 (.7 , .6) (-.5 , 2.5) verde
P2 (.3 , .5) (.5 , -.9) azul
P3 (1.2, 0) (-1 , -3.3)
naranja
m= 2.5 – 0.6 = 1.9 = -1.5
-0.5 – 0.7 -1.2
m= 0.19 – 0.5 = -1.4 = -7
0.5 – 0.3 0.2
m= -3.3, -0 = -3.3 = 1.5
-1 – 1.2 -2.2

5. Piernas de hielo
Distancia:
a) d= (2.5 – 0.6)^2 + ( -0.5 - (-0.7))^2
d= 6.25 + 1.44
d= 7.60
d= 2.7 U
b)
d=( (-0.9 -0.5)^2 + (0.5 – 0.5 )^2 )^1/2
d= (1.96)^1/2
d= 1.4 U
c)
d=( (-3.3 – 0)^2 + (-1-1.22)^2 )^1/2
d= (10.89 + 4.84)^1/2
d= (15.78)^1 /2
d= 3.97 U
Angulo:
a) 123º 41’ 24.2”
b) 98 º 7’ 48.37”
c) 56 º18’ 35.76”

6. *
Azul claro (2.7,-1) (3.2,-3.5)
Morado (-1,-1.5) (.2.1,-0.5)
Azul (-5,0.3) (-3,-2.8)
pendiente:
a) (-3.5 – (-1) 2.5
3.2 – 2.7 = 0.5 m= -5 U
b) -0.5 –(-0.5) 1
-2.1-(-1) =-1.5 m= -0.6 U
c) -2.3-0.3 -3.1
-3-(-5) = 2 m=-1.55

7. Angulo
a) 101º 18’ 35.7”
b)149 º2’ 10.48”
c) 122 º49’ 42.7”
distancia:
a)
d=((-3.5 –(-1) )^2 + (3.2 – 2.7)^2)^1/2
d= (6.25 + 0.25)^1/2
d= (6.5)^1/2
d= 2.5
b)
d= ((-0.5-(-1.5))^2 +(-2.1-(-1))^2)^1/2
d= (1 + 1.21)^1/2
d=(2.21)^1/2
d=1.4
c)
d= ( (-2.8-0.3)^2 + (-3-(-5)^2)^1/2
d=(9.61 + 4)^1/2
d= (13.61)^1/2
d= 3.6

8. *
Naranja (1.7,2) (1.8,-1.2)
Verde (2.7,-2.5) (2.1,-3.2)
Violeta (-1.4,-0.2) (-1,-2)
pendiente:
a) -1.2-2 -3.2
1.8-1.7 = 0.1 m= -32
b) -3.2-(-2.5) -0.7
2.1-2.7 = -0.6 m= 1.16
c)-2-(-0.2) 1.8
-1-(-1.4) = 0.4 m=4.5

9. ángulo:
a) 91°41’ 23.68”
b)57° 59’ 40.62”
c) 77 °18’ 16.29”
distancia
a)
d=((-1.2-2)^2 + (1.8-1.7)^2)^1/2
d=(10.2 + 0.36)^1/2
d= (10.6)^1/2
d= 3.2
b)
d=((-3.2 –(-2.1))^2 + (2.1-2.7)^2)^1/2
d= (0.49 + 0.36)^1/2
d=(0.85)^1/2
d=0.92
c)
d=((-2-(-0.2))^2 + (-1-(-1.4))^2)^1/2
d= (3.4 + 0.6)^1/2
d=(3.4)^1/2
d=1.8

10. naranja(2,1.8) (3,1)
verde(3,-0.5) (2,-1)
morada(-2,-1) (-3.8,-3)
m= 1-1.8 = -0.8 m= -0.8
3-2 1
M= -1-(-0.5) = -0.5 m=0.5
2-3 -1
M= -3-(-1) = -2 m=1.1
-3.8-(-2) -1.8

11. * A) 141°20’24.6’’
* B) 26°33’54.8’’
* C)47°43’34.72’’
a)
d=((1-1.82) )^2 + (3-2) )^2)^1/2
d=(0.64 + 1)^1/2
d=(1.64)^1/2
d=1.2
b)
d=((-1-(-0.5) )^2 + (2-3.2)^2)^1/2
d= (0.25 + 1.44)^1/2
d=(1.69)^1/2
d=1.3
c)
d=((-3-(-1) )^2 + (-3.8-(-2) )^2)^1/2
d=(4+3.2)^1/2
d=(7.24)^1/2
d=2.6