TRƯỜNG THPT LAO BẢO                           KIỂM TRA : 1 TIẾT 

Họ và tên:……………………………       Môn: GIẢI TÍCH-CB

Lớp: 12                                                       Thời gian: 45 phút.

 

ĐỀ RA:

Bài 1:(6điểm).Tính các tích phân sau :

a)  

b)  

Bài 2:(4điểm). a)Tính diện tích hình phẳng giới hạn bởi đồ thị các hàm số y=xlnx  ; y=

                           và đường thẳng x=1

b)Tính th tích củakhối tròn xoay sinh bởi hp giới hạn bởi các đường:y=cosx ;y=o;x=o;x=

   quay quanh truc OX

                                                     BÀI LÀM:

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TRƯỜNG THPT LAO BẢO                             KIỂM TRA :1 TIẾT 

Họ và tên:……………………………                  Môn: GIẢI TÍCH -CB

Lớp: 12                                                                 Thời gian: 45 phút.

 

ĐỀ RA:

Bài 1:(6điểm)..Tính các tích phân sau :

a)

b

Bài 2:(4điểm)a)Tính diện tích hình phẳng giới hạn bởi đồ thị các hàm số y= -xlnx ; y= -

                           và đường  x=1

b)Tính th tích củakhối tròn xoay sinh bởi hp giới hạn bởi các đường:y=cosx ;y=o;x=o;x=   quay quanh truc OX

                                                              BÀI LÀM:

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                              ĐỀ I        

 

 

 

Điểm

 

 

   ĐỀ II

 

 

 

Điểm

Bài 1 (6đ)

Câu a(3,0đ) .Đặt t= cosx   dt= - sinx dx                           

                                                

+ x= t=1/2; x=t= 0                                

Nên   =  =-5/12           

…………………………………………………….

Câu b(3,0đ)

 Đặt                               

Thì                                                           - 

=    =e4                       

 

……………………………………………….

Bài3(3,5đ)

+Xét phương trình xlnx = (x>0)    

+suy ra được x=     (*)                                           +Nên S==              

+TínhI1=dx:

đặt    =                  

 

0.5    0.52,0

 

0 .5

 

 

 2,0

 

..........

 

0,5

 

 

 

0,5

 

 

 

1,0

 

 

1,0

 

 

……

 

 

 

0,5

 

 

0,5

 

 

 

 

 

 

0,5

 

 

 

0,5

 

 

Bài1(6đ)

Câu1(3,0đ).

Đặt t= sinx dt=cosxdx

+Khi x=t=1/2; x=t=0

Nên   =-7/12

…………………………………………….                  

Câu2 (3,0đ)

Đặt

Thì

  == -e4

............................................................................................................

Bài3(3,5đ)

+ Xét phương trình -xlnx = - (x>0)

+Suy ra được x= (*)

+S= =

  +Tính I1=

đặt

     =

 

 

0.5    0.52,0

0 .5

 

 

2,0

 

..........

 

 

0,5

 

 

 

0,5

 

 

 

1,0

 

 

1,0

 

……

 

 

 

0,5

 

 

0,5

 

 

 

 

 

 

 

0,5

 

 

 

0,5

 

 


            = -= 1/4                            

 

+Tính I2= ==                      +kết qu S=                                                     

...........................................................................

Câu b)(1,5đ)

 

0,5

 

 

0,5

 

 

 

0,5

.........

 

 

0,5

 

 

1,0

     = -= 1/4

+Tính được I2= ==

+kết qu S=

.................................................................

Câu b)(1,5đ)

 

0,5

 

 

0,5

 

 

0,5

 

.....

 

0,5

 

 

1,0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

nguon VI OLET