1. Fill in the blanks with your answers. (1) The solution of the equation logs, X = is X = (2) Let O be the center of the circumscribed circle of a triangle ABC. If ZBAC = and AO = 3, then the area of triangle BOC is 12 (3) Consider a rectangle with vertices marked as A, B, C and D consecu- tively in the counterclockwise direction. Let P be a point between B and C, and Q be the intersection of AC and DP. If AB = 1, ZDAC and ZAQP 7, then the length of AD is O ㅠ, 12 = 6 and that of PD is = (4) When the curve C defined by y = x³ - 3x² +1 and the line I meet at points (3, 1) and (-1,-3), the coordinates of the other intersection of C and I is (5) For a real number a with is 3 3 -505²/4 ≤ a ≤, the minimum value of 1 4-a³

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Chapter1: Functions And Models
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1. Fill in the blanks with your answers.
(1) The solution of the equation logs, X = is X =
(2) Let O be the center of the circumscribed circle of a triangle ABC. If
ZBAC = and AO = 3, then the area of triangle BOC is
12
(3) Consider a rectangle with vertices marked as A, B, C and D consecu-
tively in the counterclockwise direction. Let P be a point between
B and C, and Q be the intersection of AC and DP. If AB = 1,
ZDAC and ZAQP 7, then the length of AD is O
ㅠ,
12
=
6
and that of PD is
=
(4) When the curve C defined by y = x³ - 3x² +1 and the line I meet at
points (3, 1) and (-1,-3), the coordinates of the other intersection
of C and I is
(5) For a real number a with
is
3
3
sa
≤a ≤, the minimum value of
2'
1
4-a³
(6) Consider the vectors a = (x,-4),6 = (6, x-7), and c = (3,-5).
Vectors a and b + e are parallel if x = 1
In this case, the
vector d = (3,
) is orthogonal to a.
Transcribed Image Text:1. Fill in the blanks with your answers. (1) The solution of the equation logs, X = is X = (2) Let O be the center of the circumscribed circle of a triangle ABC. If ZBAC = and AO = 3, then the area of triangle BOC is 12 (3) Consider a rectangle with vertices marked as A, B, C and D consecu- tively in the counterclockwise direction. Let P be a point between B and C, and Q be the intersection of AC and DP. If AB = 1, ZDAC and ZAQP 7, then the length of AD is O ㅠ, 12 = 6 and that of PD is = (4) When the curve C defined by y = x³ - 3x² +1 and the line I meet at points (3, 1) and (-1,-3), the coordinates of the other intersection of C and I is (5) For a real number a with is 3 3 sa ≤a ≤, the minimum value of 2' 1 4-a³ (6) Consider the vectors a = (x,-4),6 = (6, x-7), and c = (3,-5). Vectors a and b + e are parallel if x = 1 In this case, the vector d = (3, ) is orthogonal to a.
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