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Mot trong nhung bi quyet de on thi tot la he thong hoa va nam vung duoc cac kien thuc co ban - quan trong nhat cua chuong trinh hoc. Duoi day la he thong hoa kien thuc cac mon thi DH. Phan dau tien se la mon Toan.
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| Thi sinh du thi mon Toan trong ky thi DH nam 2005 (Anh: Le Anh Dung) |
* DAI SO
CHUONG I: Phuong trinh va bat phuong trinh da thuc:
1) Phuong trinh bac 1 va bat phuong trinh bac 1.
2) Phuong trinh bac 2 va phuong trinh qui ve bac 2.
3) Dau tam thuc bac 2.
4) So sanh nghiem tam thuc bac 2.
CHUONG II: He phuong trinh da thuc :
1) He doi xung I, II, dang cap.
2) He co dang khac va cac ap dung tu phuong trinh duong thang va duong tron
CHUONG III: Phuong trinh – He phuong trinh - Bat phuong trinh chua can thuc
1) Phuong trinh can thuc: Giai va bien luan.
2) Bat phuong trinh can thuc: Giai va bien luan.
3) He phuong trinh can thuc: Giai va bien luan.
CHUONG IV: Phuong trinh – He phuong trinh – Bat phuong trinh chua gia tri tuyet doi
Tuong tu nhu 1, 2, 3 cua chuong III.
CHUONG V: Phuong trinh mu – He phuong trinh – Bat phuong trinh mu
Tuong tu nhu 1, 2, 3 cua chuong III.
CHUONG VI: Phuong trinh log – He phuong trinh – Bat phuong trinh log
Tuong tu nhu 1, 2, 3 cua chuong III.
CHUONG VII: Bat dang thuc – Gia tri lon nhat – Gia tri nho nhat.
* LUONG GIAC
CHUONG I: Cac cong thuc va cung lien ket
CHUONG II: Phuong trinh luong giac
1) Phuong trinh co ban.
2) Phuong trinh bac 1 theo sinx va cosx.
3) Phuong trinh bac 2 cua cac ham so luong giac.
4) Phuong trinh chua Tong va Tich cua sinx va cosx.
5) Phuong trinh Dang cap.
6) Phuong trinh luong giac chua can va gia tri tuyet doi.
7) Phuong trinh luong giac khong mam muc.
CHUONG III: He phuong trinh luong giac
CHUONG IV: Cac bai toan trong tam giac
1) Dinh li ham sin – ham cos.
2) Trung tuyen va S cua tam giac.
3) Ban kinh duong tron noi va ngoai.
4) Nhan dang tam giac.
KHAO SAT HAM SO
CHUONG I: Ham so
Mien xac dinh, mien gia tri, gioi han va lien tuc.
Dao ham: dinh nghia va cong thuc.
CHUONG II: Ung dung cua dao ham
1) Dinh li Lagrange va cac ap dung.
2) Don dieu va cuc tri cua ham so.
3) Gia tri lon nhat va nho nhat cua ham so.
4) Duong tiem can, loi – lom, diem uon.
5) Khao sat va ve do thi cac ham so bac 3, bac 4, huu ti , huu ti .
CHUONG III: Cac chu de quan trong
1) Do thi cua ham so chua gia tri tuyet doi.
2) Tiep tuyen va su tiep xuc.
3) Su tuong giao. Bien luan so nghiem cua mot phuong trinh bang phuong phap do thi.
4) Cac diem dac biet – Tap hop diem.
5) Tam doi xung – Truc doi xung – Cap diem doi xung.
6) Cac bai toan khoang cach.
TICH PHAN
1) Nguyen ham va cac cong thuc
2) Tich phan xac dinh va cong thuc NEWTON - LEIBNITZ
3) Cac phuong phap tinh tich phan
Doi bien so
Tich phan tung phan
4) Vai dang tich phan thuong gap
Tich phan ham huu ti
Tich phan ham chua can thuc
Tich phan ham chua gia tri tuyet doi
Tich phan cac ham luong giac
5) Cac bai toan tich phan dac biet
6) Dien tich hinh phang
7) The tich khoi tron xoay
DAI SO TO HOP
1) Phep dem
2) Hoan vi – To hop – Chinh hop
3) Nhi thuc NEWTON
HINH GIAI TICH
CHUONG I:Trong mat phang (Oxy)
1) Vecto va toa do
2) Duong thang
3) Duong tron
4) Ellip
5) Hyperbol
6) Parabol
7) Mot so tinh chat chung cua cac duong CONIC
CHUONG II: Trong khong gian (Oxyz)
1) Phuong phap toa do trong khong gian
2) Mat phang
3) Duong thang va mat phang
Goc giua hai duong thang
Goc giua duong thang va mat phang
Goc giua hai mat phang
Cac loai khoang cach
Cac loai hinh chieu
Cac vi tri tuong doi giua duong thang va duong thang, duong thang va mat phang, mat phang va mat phang
Duong vuong goc chung cua hai duong thang
4) Mat cau va duong tron trong khong gian
CHUONG III: Cac bai toan phoi hop giua khong gian “ co dien” va “hien dai”
* Noi chung ket hop hinh hoc 11 va 12.
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