Free Printable 유리함수와 무리함수 - 유리함수의 뜻과 계산

1.

다음 중에서 다항식이 아닌 유리식을 모두 찾으시오.

a)

① $\frac{x+1}{2}$

b)

② $\frac{x^2+2x+3}{x}$

c)

③ $\frac{2}{x-1}$

d)

④ $1-\frac{1}{x-2}$

e)

⑤ $x+\frac{1}{3}$

2.

다음 식을 계산하시오. $\frac{x}{x-3} + \frac{3}{x+1}$

a)

$\frac{x^2+4x-9}{(x-3)(x+1)}$

b)

$\frac{x^2-4x-9}{(x-3)(x+1)}$

c)

$\frac{x^2+3x-9}{(x-3)(x+1)}$

d)

$\frac{x^2+4x+9}{(x-3)(x+1)}$

3.

다음 식을 계산하시오. $\frac{x-2}{x+3} - \frac{x-2}{x^2+2x-3}$

a)

$\frac{\left(x-2\right)^2}{(x+3)(x-1)}$

b)

$\frac{x^2-2x}{(x+3)(x-1)}$

c)

$\frac{x^2-2x}{(x+3)(x-1)}$

d)

$\frac{x^2-x-2}{(x+3)(x-1)}$

4.

다음 식을 계산하시오. $\frac{x}{x-3}-\frac{x+3}{x+1}$

a)

$\frac{4x-9}{(x-3)(x+1)}$

b)

$\frac{x-9}{(x-3)(x+1)}$

c)

$\frac{x+9}{(x-3)(x+1)}$

d)

$\frac{4x+9}{(x-3)(x+1)}$

5.

다음 식을 계산하시오. $\frac{x+1}{x^2-4}+\frac{2}{x-2}$

a)

$\frac{x+5}{(x+2)(x-2)}$

b)

$\frac{3x+5}{(x+2)(x-2)}$

c)

$\frac{3x+2}{(x^2-4)(x-2)}$

d)

$\frac{3x+5}{(x^2-4)(x-2)}$

6.

다음 식을 계산하시오. $\frac{x-2}{x+3}\div\frac{x-2}{x^2+2x-3}$

a)

X-1

b)

X-2

c)

X+1

d)

X+2

7.

부분분수로 바르게 변형한 것은?

a)

$\frac{1}{x(x+1)} = \frac{1}{x} - \frac{1}{x+1}$

b)

$\frac{1}{x(x+1)} = \frac{1}{x+1} + \frac{1}{x}$

c)

$\frac{1}{x(x+1)} = \frac{1}{x} + \frac{1}{x+1}$

d)

$\frac{1}{x(x+1)} = \frac{1}{x^2} - \frac{1}{x+1}$

8.

다음 식을 부분분수로 변형하시오. $\frac{2}{x(x-4)}$

a)

$\frac{2}{x(x-4)}=\frac{1}{2}\left(\frac{1}{x-4}-\frac{1}{x}\right)$

b)

$\frac{2}{x(x-4)}=-\frac{1}{2}\left(\frac{1}{x-4}-\frac{1}{x}\right)$

c)

$\frac{2}{x(x-4)}=2\left(\frac{1}{x-4}-\frac{1}{x}\right)$

d)

$\frac{2}{x(x-4)}=\frac{1}{x-4}-\frac{1}{x}$

9.

다음 식을 부분분수로 변형하시오. $\frac{3}{x^2-1}$

a)

$\frac{3}{2\left(x-1\right)}-\frac{3}{2\left(x+1\right)}$

b)

$\frac{3}{2\left(x-1\right)}+\frac{3}{2\left(x+1\right)}$

c)

$\frac{3}{x-1}-\frac{3}{x+1}$

d)

$\frac{3}{2\left(x-1\right)}+\frac{3}{2\left(x+1\right)}$

10.

다음 식을 부분분수로 변형하시오. $\frac{5}{x^2+x}$

a)

$\frac{5}{x}-\frac{5}{x+1}$

b)

$\frac{5}{x}+\frac{5}{x+1}$

c)

$\frac{5}{2x}+\frac{5}{2\left(x+1\right)}$

d)

$\frac{5}{2x}-\frac{5}{2\left(x+1\right)}$

유리함수와 무리함수 - 유리함수의 뜻과 계산

Total questions: 10

Worksheet time: 10mins

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