ĐỀ CƯƠNG ÔN TẬP TS 10
MÔN TOÁN LỚP 9
NĂM HỌC 2012- 2013

Bài 16:chứng minh các đẳng thức:
1) 2)
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3) 4) = a – b
(Với a, b > 0 , )
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5) (với a> 0, )
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B. HÀM SỐ:
1. hàm số bậc nhất
2. vẽ đồ thị hàm số:
3. bài tập tự luyện:
Câu 1:Cho hàm số y = x có đồ thị là (d1) và hàm số y = 3x-2 có đồ thị là (d2)
Vẽ đồ thị ( d1 ) và ( d2 ) trên cùng một mặt phẳng tọa độ
Xác định đường thẳng ( d3 ) : y = ax + b biết ( d3 ) song song với ( d1 ) và cắt ( d2 ) tại điểm có hoành độ bằng 2.
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Câu 2: Cho hàm số y = 2x + 3 (d)
Vẽ đồ thị (d) của hàm số
Tìm m để đường thẳng y = (2m – 3)x + 3m – 2 cắt (d) tại điểm có hoành độ bằng 1.
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Câu 3: Cho (d1) : y= 2x – 1 và (d2) : y= x – 2
Vẽ (d1) và (d2) trên cùng một mặt phẳng tọa độ
Xác định tọa độ giao điểm A của (d1) và (d2) bằng phép tính
Tính góc tạo bởi (d2) với trục Ox ( làm tròn tới độ )
Viết phương trính đường thẳng (d3) biết đường thẳng (d3) cắt trục hoành tại điểm có hoành độ bằng và (d1), (d2), (d3) đồng quy.
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Câu 4:
Vẽ hai đồ thị hàm số : (P) : y = x2 và (d) : y = 4x – 4 trên cùng mặt phẳng toạ độ
Tìm tọa độ giao điểm của hai đồ thị trên bằng phép tính
Viết phương trình đường thẳng (d’) biết rằng (d’) song song với (d) và cắt (P) tại điểm có hoành độ bằng -1
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Câu 5: Cho đường thẳng (d) : y = (2m + 1)x + n - 2 (m ) và đường thằng (d’) : y= (m - 3)x +2n +1 (m 3)
Tìm điều kiện để (d) song song với (d’)
Tìm điều kiện để (d) cắt (d’) tại một điểm trên trục tung
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Câu 6:
Vẽ đồ thị các hàm số y= -x2 và y= x -2 trên cùng một hệ trục tọa độ
Tìm tọa độ giao điểm của các đồ thị đã vẽ ở trên bằng phép tính
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Câu 7:
cho hàm số y = ( 3 – 2)x + 1. Tính giá trị của hàm số khi x = 3 +2
Tìm m để đường thẳng y= 2x – 1 và đường thẳng y= 3x + m cắt nhau tại một điểm nằm trên trục hoành
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Câu 8: Trong mặt phẳng, với hệ tọa độ Oxy, cho đường thẳng d có phương trình : y= (m – 1)x + n
Với giá trị nào của m và n thì d song song với trục Ox
Xác định phương trình của d, biết d đi qua điểm A(1;-1)và có hệ số góc bằng -3
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