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I PRODUCTOS NOTABLES.
Efectúa los siguientes productos por simple inspección.
( 2a + b )3 =
( x - 15 ) ( x + 21 ) =
( 3a - 3b )2 =
( x2 - 25 )( x2 + 25 ) =
( 3x - 1/2 )3 =
( 9m3n4 - 1/3)2 =
( 5m3 + 2m2n )3 =
( 3x + 4 )( 3x - 7 ) =
( 2xy - 6 )( 2xy + 3 ) =
( 2x3 - y )6 =
II FACTORIZACIÓN.
Factoriza las siguientes expresiones.
x2 + 3x - 4 =
9m2 - 121x4 =
16a 2b2 - 72a b3 + 81b4 =
8 - 12 x2 + 6x4 - x6 =
225x2 - 361y4 =
27x2y3 - 9x3y3 - 12x5y3 =
343a3 - 64 =
n2 + n - 42 =
10a( x + y - 1 ) + 7b( - x - y + 1 ) =
2x2 + 5x - 3 =
III ECUACIONES DE 2° GRADO.
Resuelve las siguientes ecuaciones.
1) 6x2 + 11x - 10 = 0
2) 15x2 + x - 6 = 0
3) 20x2 + 7 = 33x
4) 4x2 + 16x + 15 = 0
5) x ( 8x + 19 ) = 27
6) x2 - 8x + 16 = 0
7) 47x2 + 183x + 29 = 0
8) x2 - x = 0
9) 7x2 + 21x = 0
10) 10x2 - 250 = 0
IV TRIGONOMETRÍA.
El piloto de un avión desea pasar a 60 metros por encima de la azotea de un edificio de 150 metros de altura y tocar tierra a 750 metros de distancia del edificio. Encuentra el ángulo de descenso.
Un triángulo rectángulo tiene una hipotenusa que mide 10 cm, y uno de sus ángulos agudos mide 50° . Calcular la longitud de los catetos y el perímetro.
V CÍRCULO Y CIRCUNFERENCIA
Define y dibuja cada uno de los ángulos de la circunferencia.
Dada la siguiente figura calcula
VI SÓLIDOS.
Escribe la clasificación general de los sólidos.
Dibuja 3 prismas.
Dibuja los cuerpos de revolución.
Dadas las siguientes vistas de un sólido. Dibuja la perspectiva.
Vista de planta vista frontal vista lateral
Dada la siguiente figura en perspectiva, dibuja las vistas.
VII ARITMÉTICA.
Calcula la raíz cuadrada por regla general, con una aproximación de centésimas.
1) 2)
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Enviado por: El remitente no desea revelar su nombre Idioma: castellanoPaís: México