Free Printable Công Thức Toán 12

1.

sin²x + cos²x =

a)

1

b)

-1

c)

0

d)

2

2.

tanx =?

a)

sinx/cosx

b)

cosx/sinx

c)

1/cotx

d)

1-cos²x

3.

cotx = ?

a)

cosx/sinx

b)

sinx/cosx

c)

tanx/2

d)

cosx - sinx

4.

tanx x cotx = ?

a)

0

b)

1

c)

1/2

d)

$\frac{\sqrt[]{2}}{2}$

5.

$\frac{1}{\cos^2x}=?$

a)

1 + tan²x

b)

1 - tan²x

c)

tan²x - cot²x

d)

cotx + 1

6.

$\frac{1}{\sin^2x}=\ ?$

a)

$\frac{1\ }{\cot^2x}$

b)

cot²x + 1

c)

1 + tan²x

d)

$\frac{\cos^2x}{2}$

7.

$\sin\left(\pi-x\right)=?$

(a)

8.

$\cos\left(\pi-x\right)=?$

(a)

9.

$\tan\left(\pi-x\right)=?$

(a)

10.

$\cot\left(\pi-x\right)=?$

(a)

11.

$\cos\left(\frac{\pi}{2}-x\right)=?$

(a)

12.

$\tan\left(\frac{\pi}{2}-x\right)=?$

(a)

13.

$\cot\left(\frac{\pi}{2}-x\right)=?$

(a)

14.

$\sin\left(\frac{\pi}{2}-x\right)=?$

(a)

15.

$\sin\left(\frac{\pi}{2}+x\right)=?$

(a)

16.

$\cos\left(\frac{\pi}{2}+x\right)=?$

(a)

17.

$\tan\left(\frac{\pi}{2}+x\right)=?$

(a)

18.

$\cot\left(\frac{\pi}{2}+x\right)=?$

(a)

19.

$\cos\left(-x\right)=?$

(a)

20.

$\sin\left(-x\right)=?$

(a)

21.

$\tan\left(-x\right)=?$

(a)

22.

$\cot\left(-x\right)=?$

(a)

23.

$\sin\left(\pi+x\right)=?$

(a)

24.

$\cos\left(\pi+x\right)=?$

(a)

25.

$\tan\left(\pi+x\right)=?$

(a)

26.

$\cot\left(\pi+x\right)=?$

(a)

27.

$\sin\left(x+y\right)=?$

a)

sin(x) . cos(y) +

cos(x) . sin(y)

b)

cos(x) . cos(y) -

sin(x). cos(y)

c)

sin(x) . cos(y) -

cos(x) . sin(y)

28.

$\sin\left(x-y\right)=?$

a)

sin(x) . cos(y) +

cos(x) . sin(y)

b)

cos(x) . cos(y) -

sin(x). cos(y)

c)

sin(x) . cos(y) -

cos(x) . sin(y)

29.

$\cos\left(x-y\right)=?$

a)

sin(x) . cos(y) +

cos(x) . sin(y)

b)

cos(x) . cos(y)

+ sin(x). sin(y)

c)

sin(x) . sin(y) -

cos(x) . sin(y)

30.

$\cos\left(x+y\right)=?$

a)

sin(x) . cos(y) +

cos(x) . sin(y)

b)

cos(x) . sin(y) -
cos(x) . sin(y)

c)

cos(x) . cos(y)

- sin(x). sin(y)

31.

$\tan\left(x+y\right)=?$

a)

$\frac{1}{\cot\left(x+y\right)}$

b)

$\frac{\tan x-\tan y}{1+\tan x.\tan y}$

c)

$\frac{\tan x+\tan y}{1-\tan x.\tan y}$

32.

$\tan\left(x-y\right)=?$

a)

$\frac{1}{\cot\left(x+y\right)}$

b)

$\frac{\tan x-\tan y}{1+\tan x.\tan y}$

c)

$\frac{\tan x.\tan y}{1-\tan x+\tan y}$

33.

$\cos2x=?$

a)

$\cos^2x-\sin^2x$

b)

$1+\ \cos^2x$

c)

$2\cos^2x-1$

d)

$1-2\sin^2x$

34.

$\sin2x=?$

a)

$\cos^2x-\sin^2x$

b)

$\sin x.\cos x$

c)

$2\cos^2x-1$

d)

$1-2\sin^2x$

35.

$\tan2x=?$

a)

$\cos^2x-\tan^2x$

b)

$\frac{2\tan x}{1-\tan^2x}$

c)

$2\cot^2x-1$

d)

$\frac{1}{2}-2\cot^2x$

36.

$\sin^2x=?$

a)

$\frac{1+\cos2x}{2}$

b)

$\frac{1-\cos2x}{2}$

c)

$\sin^2x-\cos^2x$

d)

$1-\sin2x$

37.

$\cos^2x=?$

a)

$\frac{1+\cos2x}{2}$

b)

$\frac{1-\cos2x}{2}$

c)

$\cot2x-2$

d)

$1-\sin^2x$

38.

$\tan^2x=?$

a)

$\frac{1+\cos2x}{1-\cos^2x}$

b)

$\frac{1-\cos2x}{1+\cos2x}$

c)

$\frac{1-\cos2x}{1-\cos2x}$

d)

$1-\sin^2x$

39.

$\left(x^n\right)'=?$

a)

$n.x^{\left(n-1\right)}$

b)

$n.x^{\left(n+1\right)}$

c)

$x^{\left(n-1\right).n}$

d)

$n.x^{\left(1-n\right)}$

40.

$\left(u^n\right)'=?$

a)

$n.\ u'.u^{\left(n-1\right)}$

b)

$n.u^{\left(n-1\right)}$

c)

$\ u'.u^{\left(n-1\right)}$

d)

$n.\ u'.u^{\left(n+1\right)}$

41.

$\left(\sqrt[]{x}\right)'=?$

a)

$\frac{1}{2\ \sqrt[]{x}}$

b)

$\frac{1}{\sqrt[]{x}}$

c)

$\frac{\sqrt[]{2}}{2\ \sqrt[]{x}}$

d)

$2\ \sqrt[]{x}$

42.

$\left(\sqrt[]{u}\right)'=?$

a)

$2\ \sqrt[]{u'}$

b)

$\frac{1}{\sqrt[]{x}}$

c)

$\frac{u'}{2\ \sqrt[]{u}}$

d)

$\frac{1}{2\ \sqrt[]{u'}}$

43.

$\left(\frac{1}{x}\right)'=\ ?$

a)

$\frac{-1}{x^2}$

b)

$\frac{1}{x^2}$

c)

$\frac{1}{\sqrt[]{2}x^2}$

d)

$\frac{\sqrt[]{2}}{2x^2}$

44.

$\left(\frac{1}{u}\right)'=\ ?$

a)

$\frac{-1}{u^2}$

b)

$\frac{-u'}{u^2}$

c)

$\frac{1}{\sqrt[]{2}u^2}$

d)

$\frac{\sqrt[]{2}u'}{2x^2}$

45.

$\left(\sin x\right)'=?$

a)

cosx

b)

-cosx

c)

-2cos2x

d)

-2sin2x

46.

$\left(\cos x\right)'=?$

a)

-sinx

b)

sinx

c)

-2cosx

d)

-2sin2x

47.

$\left(\sin u\right)'=?$

a)

u'. cosu

b)

u'.-cosu

c)

-2cos2u'

d)

-2sin2u'

48.

$\left(\cos u\right)'=?$

a)

u'. sinu'

b)

u'.-sinu

c)

-2cos2u'

d)

-2sin2u'

49.

$\left(\tan x\right)'=?$

a)

$\frac{1}{\cos^2x}$

b)

$\frac{1}{\sin^2x}$

c)

$\frac{\sin^2x}{\cos^2x}$

d)

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

50.

$\left(\cot x\right)'=?$

a)

$\frac{-1}{\cos^2x}$

b)

$\frac{-1}{\sin^2x}$

c)

$\frac{\cos^2x}{\sin^2x}$

d)

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

51.

$\left(\tan u\right)'=?$

a)

$\frac{1.u'}{\cos^2u}$

b)

$\frac{1.u'}{\sin^2u}$

c)

$\frac{\sin^2u}{\cos^2u}.u'$

d)

$\frac{u'}{\cos u}+u'$

52.

$\left(\cot u\right)'=?$

a)

$\frac{1.u'}{\tan^2u}$

b)

$\frac{1.u'}{\sin^2u}$

c)

$\frac{\sin^2u}{\cos^2u}.u'$

d)

$\frac{-u'}{\sin^2u}$

53.

$\left(\log_ax\right)'=?\ \left(x>0\right)$

a)

$\frac{1}{x\ln a}$

b)

$\frac{x}{1-\ln a}$

c)

$\frac{x^2}{x\ln a}$

d)

$\frac{a}{x\ln a}$

54.

$\left(\log_au\right)'=?\ \left(u>0\right)$

a)

$\frac{1}{u\ln a}$

b)

$\frac{u'}{u.\ln a}$

c)

$\frac{u^2}{u\ln a}$

d)

$\frac{a'}{u\ln a}$

55.

$\left(\ln\left|x\right|\right)'=?$

a)

ln(x)

b)

$\frac{1}{x^2}$

c)

x

d)

$\frac{1}{x}$

56.

$\left(\ln\left|u\right|\right)'=?$

a)

ln(x)

b)

$\frac{1}{x^2}$

c)

$\frac{u'}{\log_xu}$

d)

$\frac{u'}{u}$

57.

$\int_{ }^{ }dx=x+C$

a)

Yes

b)

No

58.

$\int_{ }^{^{ }}e^xdx=e^x+C$

a)

Yes

b)

No

59.

$\int_{ }^{^{ }}a^xdx=\frac{a^x}{\ln a}+C$

a)

Yes

b)

No

60.

$\int_{ }^{^{ }}e\ dx=e^x+C$

a)

Yes

b)

No

61.

$\int_{ }^{ }x^ndx=\frac{x^n+1}{n+1}+C$

a)

Yes

b)

No

62.

Có thể tính V theo công thức nào?

a)

$\pi^2\int_x^y\left(f\left(x\right)\right)$

b)

$\int_x^yS\left(x\right)$

c)

$\pi\int_x^yf^2\left(x\right)$

d)

$\pi\int_x^yS\left(x\right)^2$

63.

1 Parabol có dạng ax² + bx + c, khi nào hệ số b=0?

a)

đỉnh trùng Oy

b)

đỉnh trùng Ox

c)

đỉnh cắt Ox

64.

1 Parabol có dạng ax² + bx + c, xác định hệ số a?

a)

kiểm tra các điểm parabol cắt, thế điểm (x,y) vào phương trình

b)

nhìn tọa độ đoán số

c)

nhìn đồ thị xác định a âm hoặc dương

65.

1 Parabol có dạng ax² + bx + c, khi nào có hệ số c?

a)

cắt trục tung

b)

cắt trục hoành

Công Thức Toán 12

Total questions: 65

Worksheet time: 43mins

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