(Question 1) Consider a polynomial x4(x的4次方)y－2x + 5 , where x and y are variables. If a is the degree of the polynomial and b is the coefficient of x, then
A. a + b = 0
B. a + b = 1
C. a + b = 4
D. a + b = 5
(Question 2) A (5, -8) is reflected about the y-axis to become B. B is rotated anti-clockwise through 90 degree about the origin O to become C. Find the area of triangle ABC.
A. 15 sq. units
B. 24 sq. units
C. 65 sq. units
D. 104 sq. units
中一數學題，求教點計
2014-06-16 7:29 pm
回答 (3)
2014-06-16 7:54 pm
✔ 最佳答案
Question 1The polynomial is
x⁴y - 2x + 5
a is the degree of the polynomial,
so a = max(4+1, 1, 0) = 4+1 = 5
b is the coefficient of x,
so b = -2
Therefore, a + b = 5 + (-2) = 5 - 2 = 3
There is NO choice for the correct answer.
If the polynomial is
x⁴y² - 2x + 5
a is the degree of the polynomial,
so a = max(4+2, 1, 0) = 4+2 = 6
b is the coefficient of x,
so b = -2
Therefore, a + b = 6 + (-2) = 6 - 2 = 4
The answer is C.
If the polynomial is
x⁴y³ - 2x + 5
a is the degree of the polynomial,
so a = max(4+3, 1, 0) = 4+3 = 7
b is the coefficient of x,
so b = -2
Therefore, a + b = 7 + (-2) = 7 - 2 = 5
The answer is D.
✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀
Question 2
A (5, -8) is reflected about the y-axis to become B.
Thus, B = (-5, -8).
B is rotated anti-clockwise through 90 degree about the origin O to become C.
Thus, C = (8, -5)
Note that for △ABC, if AB is viewed as the base, then the base is 5 - (-5) = 10, and the height is (-5) - (-8) = 3.
The area of △ABC is 10 * 3 / 2 = 15 sq. units.
2014-06-18 4:50 am
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2014-06-18 00:16:52 補充：
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2014-06-18 00:16:52 補充：
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2014-06-17 2:47 am
Question 1
The polynomial is
x⁴y - 2x + 5
a is the degree of the polynomial,
so a = max(4+1, 1, 0) = 4+1 = 5
b is the coefficient of x,
so b = -2
Therefore, a + b = 5 + (-2) = 5 - 2 = 3
There is NO choice for the correct answer.
If the polynomial is
x⁴y² - 2x + 5
a is the degree of the polynomial,
so a = max(4+2, 1, 0) = 4+2 = 6
b is the coefficient of x,
so b = -2
Therefore, a + b = 6 + (-2) = 6 - 2 = 4
The answer is C.
If the polynomial is
x⁴y³ - 2x + 5
a is the degree of the polynomial,
so a = max(4+3, 1, 0) = 4+3 = 7
b is the coefficient of x,
so b = -2
Therefore, a + b = 7 + (-2) = 7 - 2 = 5
The answer is D.
✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀
Question 2
A (5, -8) is reflected about the y-axis to become B.
Thus, B = (-5, -8).
B is rotated anti-clockwise through 90 degree about the origin O to become C.
Thus, C = (8, -5)
Note that for △ABC, if AB is viewed as the base, then the base is 5 - (-5) = 10, and the height is (-5) - (-8) = 3.
The area of △ABC is 10 * 3 / 2 = 15 sq. units.
The polynomial is
x⁴y - 2x + 5
a is the degree of the polynomial,
so a = max(4+1, 1, 0) = 4+1 = 5
b is the coefficient of x,
so b = -2
Therefore, a + b = 5 + (-2) = 5 - 2 = 3
There is NO choice for the correct answer.
If the polynomial is
x⁴y² - 2x + 5
a is the degree of the polynomial,
so a = max(4+2, 1, 0) = 4+2 = 6
b is the coefficient of x,
so b = -2
Therefore, a + b = 6 + (-2) = 6 - 2 = 4
The answer is C.
If the polynomial is
x⁴y³ - 2x + 5
a is the degree of the polynomial,
so a = max(4+3, 1, 0) = 4+3 = 7
b is the coefficient of x,
so b = -2
Therefore, a + b = 7 + (-2) = 7 - 2 = 5
The answer is D.
✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀ ✿ ❀
Question 2
A (5, -8) is reflected about the y-axis to become B.
Thus, B = (-5, -8).
B is rotated anti-clockwise through 90 degree about the origin O to become C.
Thus, C = (8, -5)
Note that for △ABC, if AB is viewed as the base, then the base is 5 - (-5) = 10, and the height is (-5) - (-8) = 3.
The area of △ABC is 10 * 3 / 2 = 15 sq. units.
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