Kiểm tra cấp tốc 15 HKI lớp 11./.(hay)

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Tìm tập xác định của các hàm số sau:
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y
x

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y =
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x
y
x
=

<&6K(4;&+
B
+ =cos x 3 sin x 3
B
=3 sin x cos x 2
B
+ =
6
sin x cos x
2
Giaỷi phửụng trỡnh: a)
+ =3 sin x cos x 2sin 7x
B
= +2 cos13x sinx cos x

B
= 2 sin 4x 2 cos 4x 1
3<&6K(4;&+
+ =
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sin x sin x 0
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sin 2x 2sin x 3
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= 2 sin 3x 6 cos3x 2

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3 sin 5x cos5x 2sin3x =
L&@=.(A+

BC

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,E B7DS

3;#
B
= +2 cos13x sinx cos x
B;#=&>(5&$(&T4(5&4U



x
x
 
+
 ÷
 

BV.&.C,0)W,E,0&X@I(Y+&0
&,0Z&<+@&&,0)6R&[)+8E,0
)W
3<&6K(4;&86R((<+
B
    − + =

B
3 3

     

+ = −

B


1L&&;&&CS\7L][V,E^8F86R8E4+()U#
?)>\7,ESL
B_<)`&()U#a\^∩AS7]B
B_<)`&()U#bV^∩AS7]B
BL&T(#&a/b/7&c(&E(
57:<&6K(4;&86R((<+
B3

11B
   1  = −

B
       3 x x x x− − + − =
1V.&.)d((e#C3,0&/,0)W,E
,0,E(^(6f&[(Y+&0g&.)C4,0
BZ&=&Fh?5&$((#Y+
BZ&<+@)U,0)6R&[C)?#E+
2BL&@=.(A+

BC+


,E+

21OiIZ&=&>()F+
,E$(?@=40
B_jZ&J(/(#?iI=A+

B,k+


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/∀∈^
l
<&6K(4;&86R((<+
B−
Bm−2m
B
<&6K(4;&86R((<+
B

3B
A B  
3
x c
π
− + =

B

11

Đề29:B Qno*)=,E)e(&@
BZ&<+@)Up(#q+@&rs(
BZ&<+@)UZ&#q+@&r8E=8t
B;#==&>(80D?#.@=.(Dp(?
&n(8E3,Ep(;&&6K(?&n(8E93
<&6K(4;&86R((<+
B
     + − =
B
  1  3=

B


  3

− =
B_jZ&J((#?A+

B/D

 1
+
 
−
=
+
BL&@=.(A+

BC=&>(#Ep(=

&>(&T,E=&>(&TJ#8E/p(=
&>(&TJ#,E=&>(+=8E3OiI;#@
=.()C
L&iI=A+

B#Ep(=&>()F+0?C8ES


A B

−
/
∀∈^
l

BOiI<)`&=&>(p(G+<+

?iI=40
BL&T(#&iI=A+

B8E#.@=.(;#$(?@=.()C

L
L&iI=A+

B)`&u+

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BA


+
−
nn
n
B;#+
9
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
+


BS=
3
28
8E=&>(&T#@I?iI=
3<&6K(4;&86R((<+
BA3
2
π
B

B1
B
 3 2  + + + =
1L&&;&&CS\7L]4(#(<S7L8@I)U#V,E
4(#(<SL]8@I)U#^
B;#(+ID?AS\LB,EAS7]B
B;#()U#?)6f(&c(V^,k#q&c(AS\LB
B;#()U#?>&SL,k#q&c(A\V^B
2<&6K(4;&86R((<+

B

   
 
x x
− + = B
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
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
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=+
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2
π
BBI
BA

−
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B1 B1 
B
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9<&6K(4;&+

B

1
B
B


3g<=////3/1/2C&U8w)6R&0+=d&0C1&x=
&)+5rBL<&x=&5&<&+
BS=&PC1&x=5&<&+
BS=8tC1&x=5&<&+
3L&&;&&CS\7L]C\7,EL]5&$(((V8E
4+()U#?SL
B;#^S]AV\]B
B[y\L7]L&T(#&4s(Sy/\V/7^)e(
G+
3B_j5&4UA 3IB

B;#&r=?=&>(&T<+ B;#&r=+=&>(&T

I

B
2L\




=+
3Gii cỏc phng trỡnh:

1)
3 x x =
2)
x x =
3)
3 1x x
+ =
33Tìm tập xác định của các hàm số sau:
1)


y
x
=

;2)


x
y =
;3)



x
y
x
=

31g<&x=////3/1/2C&U8w)6R&0+=

(e#
BL<=&PC3&x=5&<&+:
BL<=&PC3&x=:
BL<=&W&KC<&x=5&<&+:
32B;#heọ =cuỷa x
6
4(5&4U










+
x
x
B;#=&>(&T4(5&4U?U+&T
1
3

x
x
3BZ&&r=?
1
yx
4(5&4U
( )
1

xyx
+

b);#=&>(5&$(&T5&5&4U

3







+
x
x
3Tính số hạng đầu
1
u
và công sai d của cấp số cộng

( )
n
u
, biết:
a)
+ =


=

1 5
4
2 0
14
u u
S
b)
=


=

4
7
10
19
u
u
.
39L&iI=A

n
u
B,k
n
u
91
BzD1=&>()F+?iI
BL&T(#&A
n
u
B8E@=.(;#

u
/
BL&
n
u
3OW)C8E&T&>(&T&0+?iI
1Cho CSN gồm 5 số hạng. Tìm số hạng đầu và công bội của CSN, biết:
a)
=


=

3
5
3
27
u

u
b)
=


=

4 2
3 1
25
50
u u
u u
1Cấp số cộng
( )
n
u
có
=
6
18S
và
=
10
110S
a) Lập công thức số hạng tổng quát
n
u
.
b) Tính

20
S
.
1L&&;&&CS\7L]C)<I\7L]8E&;&,+$([{//|8F86R8E
4+()U#?7L/L]/S\
B;#(+ID?#q&c(AS\]B,EAS7B
B;#&Dr>u#A{|B,k&;&&C
11L&&;&&CS\7L]C)<I8E&;&;&&E&\7L]*#
y[}8E4+()U#?SL
B;#(+ID?A7}]B,EAS\LB
B;#(+ID?A\7}B,EAS7]B
B;#(+ID?A\}]B,EAS7LB
12BL#4,k#[
l
N


n n n +
L&&D&2
BL&T(#&,k
l
N


1
n
n
+
> +
1;#(<4`8k&@/(<4`&W&@?&E#=

BI




ữ

x
B
1= +y
13B;#w<)`&?&E#=+ = +y x
B;#X^/^^?&E#=+
A B


= + y x x