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© Mark E. Damon - All Rights Reserved
Welcome to
Who Wants to be a Millionaire
© Mark E. Damon - All Rights Reserved
15
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9
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7
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3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Câu hỏi ôn tập
ứng dụng của
đạo hàm
50:50
Người soạn: Nguyễn Anh Tuấn
Trường THPT Nguyễn Trãi- Hải Phòng
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A: y’=0 trên (a;b)
C: y’<0 trên (a;b)
B: y’>0 trên (a;b)
D: y’ không xác
định trên (a;b)
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Hàm số đồng biến
trên (a;b) nếu
1
2
3
y x= −
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A: y’=0 trên (a;b)
C: y’<0 trên (a;b)
B: y’>0 trên (a;b)
D: y’’<0 trên (a;b)
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Hàm số nghịch biến
trên (a;b) nếu
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A: y’(a)=0
C: y’(a) không xác
định
B: y’(a)=0 hoặc
không xác định
D: y’’(a)=0
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
x=a là điểm tới hạn
của hàm số nếu
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A:
C:
B:
D:
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Tìm cực trị của hàm số
3 2
y 2x 3x 36x 10= + − −
CD CTy 71; y 54= = − CD CTy 71; y 54= − = −
CD CTy 71; y 54= = CD CTy 71; y 54= − =
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A:
C:
B:
D:
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Tìm các điểm cực trị
của hàm số sau
2
x 4x 5
y
x 2
+ +
=
+
CD CTx 3; x 1= − = −
CD CTx 3; x 1= = − CD CTx 3; x 1= − =
CD CTx 3; x 1= =
© Mark E. Damon - All Rights Reserved
Congratulations!
You’ve Reached
the $1,000
Milestone!
Congratulations!Congratulations!
© Mark E. Damon - All Rights Reserved
Welcome to
Who Wants to be a Millionaire
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A: 1 cực đại và 2
cực tiểu
C: 1 cực đại và
không có cực tiểu
B: 1 cực tiểu và 2
cực đại
D:1 cực tiểu và 1
cực đại
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Cho hàm số 4 21
y x 2x 1
4
= − +
Hàm số có:
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A:
C:
B:
D:
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
hàm số
2
x
y
1 x
=
−
Đồng biến trên các khoảng
( ;1) và (1; )−∞ +∞(0;1) và (1;2)
( ;1) và (2; )−∞ +∞( ;1) và (1;2)−∞
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A:-6
C: 0
B: -3
D: 3
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Cho hàm số
3 2
y x 3x 1= − +
Tích các giá trị cực đại và
cực tiểu của hàm số bằng
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
toạ độ của
Các điểm cực trị của hàm số y=sin2x-x là
CD CTD: x k ; x k
6 3
π π
= + π = − + π
CD CTB: x k ; x k
6 3
π π
= − + π = − + π
CD CTA: x k ; x k
6 6
π π
= + π = − + π
CD CTC: x k ; x k
3 6
π π
= + π = − + π
© Mark E. Damon - All Rights Reserved
toạ độ của
Các điểm cực trị của hàm số y=sin2x-x là
CD CTD : x k ; x k
6 3
π π
= + π =− + π
CD CTB: x k ; x k
6 3
π π
= − + π = − + π
CD CTA : x k ; x k
6 6
π π
= + π = − + π
CD CTC: x k ; x k
3 6
π π
= + π = − + π
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
A:
C:
B:
D:
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Phương trình đường thẳng
đi qua hai điểm cực trị của
hàm số trên là
Cho hàm số:
3 2
y x 3x 9x m= − − +
y 8x m 3= − − +y 8x m 3= − +
y 8x m 3= + −y 8x m 3= − + −
© Mark E. Damon - All Rights Reserved
A:
C:
B:
D:
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Phương trình đường thẳng
đi qua hai điểm cực trị của
hàm số trên là
Cho hàm số:
3 2
y x 3x 9x m= − − +
y 8x m 3= − − +
y 8x m 3= − +
y 8x m 3= + −
y 8x m 3= − + −
© Mark E. Damon - All Rights Reserved
Congratulations!
You’ve Reached
the $32,000
Milestone!
Congratulations!Congratulations!
© Mark E. Damon - All Rights Reserved
Welcome to
Who Wants to be a Millionaire
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Cho hàm số
Chọn đáp án đúng trong
4 đáp án sau
2 1
y sinx cos x
2
= + +
7
C. max y ;
4
=
3
D. min y ;
2
=
1
B. min y ;
2
=
3
A. max y ;
2
=
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Cho hàm số
Chọn đáp án đúng trong
4 đáp án sau
2 1
y sinx cos x
2
= + +
7
C. max y ;
4
=
3
D. min y ;
2
=
1
B. min y ;
2
=
3
A. max y ;
2
=
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Tìm giá trị lớn nhất
của hàm số
4 2
y cos x sin x cosxsin x= + +
5
C.max y
4
=
5
D.max y
4
= −
9
B.max y
4
=1
A.max y
4
=
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Tìm giá trị lớn nhất
của hàm số
4 2
y cos x sin x cosxsin x= + +
5
C.max y
4
=
5
D.max y
4
= −
9
B.max y
4
=1
A.max y
4
=
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Có nghiệm khi và chỉ khi
PT x 1 x 1 5 x 18 3x 2m 1+ + − − − − − = +
2 3 15 1 6 3
B. m
2 2
− − + −
≤ ≤
2 3 1 6
A. m
2 2
− +
≤ ≤
2 3 15 1 6 3
D. m
2 2
− − − + −
≤ ≤
3 15 6 3
C. m
2 2
− − −
≤ ≤
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Có nghiệm khi và chỉ khi
PT x 1 x 1 5 x 18 3x 2m 1+ + − − − − − = +
2 3 15 1 6 3
B. m
2 2
− − + −
≤ ≤
2 3 1 6
A. m
2 2
− +
≤ ≤
2 3 15 1 6 3
D. m
2 2
− − − + −
≤ ≤
3 15 6 3
C. m
2 2
− − −
≤ ≤
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
PT x 3 6 x (x 3)(6 x) m+ + − − + − =
Có nghiệm khi và chỉ khi
6 2 9
A. m 3
2
−
≤ ≤
6 2 9
B. m 3
2
− −
≤ ≤
6 2 9
D. m 3
2
−
≤ ≤
6 2 11
C. m 3
2
−
≤ ≤
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
PT x 3 6 x (x 3)(6 x) m+ + − − + − =
Có nghiệm khi và chỉ khi
6 2 9
A. m 3
2
−
≤ ≤
6 2 9
B. m 3
2
− −
≤ ≤
6 2 9
D. m 3
2
− −
≤ ≤ −
6 2 11
C. m 3
2
−
≤ ≤
© Mark E. Damon - All Rights Reserved
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Tìm m để hệ phương
trình sau có nghiệm
2x 3 y m
2y 3 x m
 + − =

+ − =
D. 3 m 3≤ ≤C. 3 m 6≤ ≤
B. 6 m 3≤ ≤A. 3 m 3− ≤ ≤
© Mark E. Damon - All Rights Reserved
50:50
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
$1 Million
$500,000
$250,000
$125,000
$64,000
$32,000
$16,000
$8,000
$4,000
$2,000
$1,000
$500
$300
$200
$100
Tìm m để hệ phương
trình sau có nghiệm
2x 3 y m
2y 3 x m
 + − =

+ − =
D. 3 m 3≤ ≤C. 3 m 6≤ ≤
B. 6 m 3≤ ≤A. 3 m 3− ≤ ≤
© Mark E. Damon - All Rights Reserved
YOU WIN $1
MILLION DOLLARS!

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Ungdungdaoham ppt 1

  • 1. © Mark E. Damon - All Rights Reserved Welcome to Who Wants to be a Millionaire
  • 2. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Câu hỏi ôn tập ứng dụng của đạo hàm 50:50 Người soạn: Nguyễn Anh Tuấn Trường THPT Nguyễn Trãi- Hải Phòng
  • 3. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 4. © Mark E. Damon - All Rights Reserved A: y’=0 trên (a;b) C: y’<0 trên (a;b) B: y’>0 trên (a;b) D: y’ không xác định trên (a;b) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Hàm số đồng biến trên (a;b) nếu 1 2 3 y x= −
  • 5. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 6. © Mark E. Damon - All Rights Reserved A: y’=0 trên (a;b) C: y’<0 trên (a;b) B: y’>0 trên (a;b) D: y’’<0 trên (a;b) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Hàm số nghịch biến trên (a;b) nếu
  • 7. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 8. © Mark E. Damon - All Rights Reserved A: y’(a)=0 C: y’(a) không xác định B: y’(a)=0 hoặc không xác định D: y’’(a)=0 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 x=a là điểm tới hạn của hàm số nếu
  • 9. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 10. © Mark E. Damon - All Rights Reserved A: C: B: D: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Tìm cực trị của hàm số 3 2 y 2x 3x 36x 10= + − − CD CTy 71; y 54= = − CD CTy 71; y 54= − = − CD CTy 71; y 54= = CD CTy 71; y 54= − =
  • 11. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 12. © Mark E. Damon - All Rights Reserved A: C: B: D: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Tìm các điểm cực trị của hàm số sau 2 x 4x 5 y x 2 + + = + CD CTx 3; x 1= − = − CD CTx 3; x 1= = − CD CTx 3; x 1= − = CD CTx 3; x 1= =
  • 13. © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $1,000 Milestone! Congratulations!Congratulations!
  • 14. © Mark E. Damon - All Rights Reserved Welcome to Who Wants to be a Millionaire
  • 15. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 16. © Mark E. Damon - All Rights Reserved A: 1 cực đại và 2 cực tiểu C: 1 cực đại và không có cực tiểu B: 1 cực tiểu và 2 cực đại D:1 cực tiểu và 1 cực đại 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Cho hàm số 4 21 y x 2x 1 4 = − + Hàm số có:
  • 17. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 18. © Mark E. Damon - All Rights Reserved A: C: B: D: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 hàm số 2 x y 1 x = − Đồng biến trên các khoảng ( ;1) và (1; )−∞ +∞(0;1) và (1;2) ( ;1) và (2; )−∞ +∞( ;1) và (1;2)−∞
  • 19. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 20. © Mark E. Damon - All Rights Reserved A:-6 C: 0 B: -3 D: 3 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Cho hàm số 3 2 y x 3x 1= − + Tích các giá trị cực đại và cực tiểu của hàm số bằng
  • 21. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 22. © Mark E. Damon - All Rights Reserved toạ độ của Các điểm cực trị của hàm số y=sin2x-x là CD CTD: x k ; x k 6 3 π π = + π = − + π CD CTB: x k ; x k 6 3 π π = − + π = − + π CD CTA: x k ; x k 6 6 π π = + π = − + π CD CTC: x k ; x k 3 6 π π = + π = − + π
  • 23. © Mark E. Damon - All Rights Reserved toạ độ của Các điểm cực trị của hàm số y=sin2x-x là CD CTD : x k ; x k 6 3 π π = + π =− + π CD CTB: x k ; x k 6 3 π π = − + π = − + π CD CTA : x k ; x k 6 6 π π = + π = − + π CD CTC: x k ; x k 3 6 π π = + π = − + π
  • 24. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 25. © Mark E. Damon - All Rights Reserved A: C: B: D: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Phương trình đường thẳng đi qua hai điểm cực trị của hàm số trên là Cho hàm số: 3 2 y x 3x 9x m= − − + y 8x m 3= − − +y 8x m 3= − + y 8x m 3= + −y 8x m 3= − + −
  • 26. © Mark E. Damon - All Rights Reserved A: C: B: D: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Phương trình đường thẳng đi qua hai điểm cực trị của hàm số trên là Cho hàm số: 3 2 y x 3x 9x m= − − + y 8x m 3= − − + y 8x m 3= − + y 8x m 3= + − y 8x m 3= − + −
  • 27. © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $32,000 Milestone! Congratulations!Congratulations!
  • 28. © Mark E. Damon - All Rights Reserved Welcome to Who Wants to be a Millionaire
  • 29. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 30. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Cho hàm số Chọn đáp án đúng trong 4 đáp án sau 2 1 y sinx cos x 2 = + + 7 C. max y ; 4 = 3 D. min y ; 2 = 1 B. min y ; 2 = 3 A. max y ; 2 =
  • 31. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Cho hàm số Chọn đáp án đúng trong 4 đáp án sau 2 1 y sinx cos x 2 = + + 7 C. max y ; 4 = 3 D. min y ; 2 = 1 B. min y ; 2 = 3 A. max y ; 2 =
  • 32. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 33. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Tìm giá trị lớn nhất của hàm số 4 2 y cos x sin x cosxsin x= + + 5 C.max y 4 = 5 D.max y 4 = − 9 B.max y 4 =1 A.max y 4 =
  • 34. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Tìm giá trị lớn nhất của hàm số 4 2 y cos x sin x cosxsin x= + + 5 C.max y 4 = 5 D.max y 4 = − 9 B.max y 4 =1 A.max y 4 =
  • 35. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 36. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Có nghiệm khi và chỉ khi PT x 1 x 1 5 x 18 3x 2m 1+ + − − − − − = + 2 3 15 1 6 3 B. m 2 2 − − + − ≤ ≤ 2 3 1 6 A. m 2 2 − + ≤ ≤ 2 3 15 1 6 3 D. m 2 2 − − − + − ≤ ≤ 3 15 6 3 C. m 2 2 − − − ≤ ≤
  • 37. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Có nghiệm khi và chỉ khi PT x 1 x 1 5 x 18 3x 2m 1+ + − − − − − = + 2 3 15 1 6 3 B. m 2 2 − − + − ≤ ≤ 2 3 1 6 A. m 2 2 − + ≤ ≤ 2 3 15 1 6 3 D. m 2 2 − − − + − ≤ ≤ 3 15 6 3 C. m 2 2 − − − ≤ ≤
  • 38. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 39. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 PT x 3 6 x (x 3)(6 x) m+ + − − + − = Có nghiệm khi và chỉ khi 6 2 9 A. m 3 2 − ≤ ≤ 6 2 9 B. m 3 2 − − ≤ ≤ 6 2 9 D. m 3 2 − ≤ ≤ 6 2 11 C. m 3 2 − ≤ ≤
  • 40. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 PT x 3 6 x (x 3)(6 x) m+ + − − + − = Có nghiệm khi và chỉ khi 6 2 9 A. m 3 2 − ≤ ≤ 6 2 9 B. m 3 2 − − ≤ ≤ 6 2 9 D. m 3 2 − − ≤ ≤ − 6 2 11 C. m 3 2 − ≤ ≤
  • 41. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100
  • 42. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Tìm m để hệ phương trình sau có nghiệm 2x 3 y m 2y 3 x m  + − =  + − = D. 3 m 3≤ ≤C. 3 m 6≤ ≤ B. 6 m 3≤ ≤A. 3 m 3− ≤ ≤
  • 43. © Mark E. Damon - All Rights Reserved 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Tìm m để hệ phương trình sau có nghiệm 2x 3 y m 2y 3 x m  + − =  + − = D. 3 m 3≤ ≤C. 3 m 6≤ ≤ B. 6 m 3≤ ≤A. 3 m 3− ≤ ≤
  • 44. © Mark E. Damon - All Rights Reserved YOU WIN $1 MILLION DOLLARS!