Bi quyet on thi tot nghiep mon Toan

Tags: To Toan, Nguyen Duy Hieu, THPT chuyen Le Hong Phong, thi tot nghiep, vuong goc voi, tinh the tich, tinh dien tich, duong thang, mat phang, nam vung, di qua, cong thuc, mot duong, diem

Huong dan cua Thac si Nguyen Duy Hieu - To truong To Toan truong THPT chuyen Le Hong Phong, TP.HCM.

Khi on tap, cac em on theo tung chu de; can doc lai cac bai hoc, sau do tu lam cho minh mot de cuong on tap.

Moi mot chu de cac em can he thong cac kien thuc co ban, tom tat phuong phap giai cua cac dang bai tap, ghi chu nhung sai sot thuong mac phai. Nen on tap theo cau truc de cua Bo GD-DT.

Phan Giai tich: Khao sat su bien thien va ve do thi cac ham so: On bac 3, bac 4 trung phuong va ham huu ti bac 1/bac 1 that thanh thao. Mot so bai toan lien quan den khao sat ham so nhu: Viet phuong trinh tiep tuyen, bien luan su tuong giao giua hai duong, bien luan so nghiem cua phuong trinh bang do thi, dieu kien de ham so tang hay giam tren mot tap cho truoc, dieu kien de ham so co cuc tri… Tim gia tri lon nhat, gia tri nho nhat cua ham so tren tap hop X cho truoc

Bi quyet on thi tot nghiep mon Toan

Thay Nguyen Duy Hieu huong dan doi tuyen mon Toan chuan bi
cho ky thi Olympic 30.4 vao chieu qua - Anh: D.D.M

Phuong trinh, bat phuong trinh mu va logarit: Can nam vung cac cong thuc bien doi mu, logarit va cach giai cac phuong trinh, bat phuong trinh co ban: Dua ve cung co so; dat an phu; mu hoa hay logarit hoa; doan nghiem…

Nguyen ham, tich phan va ung dung: Tim nguyen ham cua cac ham so co ban; Tinh cac tich phan dang co ban (cac cong thuc tich phan tung phan thuong gap, cac cach doi bien so (luu y tich phan cua f(x) = sinmx.cosnx); Tinh dien tich hinh phang; Tinh the tich hinh tron xoay quanh truc Ox.

So phuc: Biet tim phan thuc - phan ao - modun cua so phuc. Tim so phuc lien hop. Lam thanh thao cac phep toan cong, tru, nhan chia so phuc. Tap hop diem bieu dien cho so phuc thoa dieu kien cho truoc. Nam vung cach giai phuong trinh bac hai voi he so thuc…

Phan Hinh hoc khong gian: Cac cong thuc tinh the tich khoi da dien: Luyen tap lam cac bai toan tinh the tich cua tu dien; cua cac hinh chop: deu; co day la hinh vuong, hinh chu nhat, hinh thang va mot canh ben vuong goc day; co day la hinh vuong, hinh chu nhat, hinh thang va mot mat ben vuong goc day; cua cac hinh lang tru: dung, co hinh chieu cua mot dinh thuoc day nay la mot diem dac biet cua day kia.

Nam cac cong thuc tinh dien tich xung quanh, the tich cua mat cau, mat tru, mat non. Tap trung vao cac bai toan tinh dien tich xung quanh; tim tam va ban kinh cua mat cau ngoai tiep hinh chop.

Phan Hinh hoc giai tich: Toa do diem va vecto: Nam cach tim cac diem dac biet trong tam giac, trong tu dien. Cac cong thuc tinh the tich tu dien, dien tich tam giac.

Nam vung cach lap phuong trinh mat phang trong cac truong hop co ban sau: di qua ba diem; di qua mot diem va vuong goc voi mot duong thang; di qua mot diem va song song voi mot mat phang; di qua mot diem va song song voi hai duong thang; chua mot duong thang va vuong goc voi mot mat phang; chua hai duong thang song song; di qua mot duong thang va song song voi mot duong thang khac; di qua mot diem va qua mot duong thang. Nam cac cong thuc tinh khoang cach tu diem den mat phang; giua hai mat phang song song, xet vi tri tuong doi cua hai mat phang.

Nam vung cach lap phuong trinh duong thang trong cac truong hop co ban sau: di qua 2 diem; di qua mot diem va vuong goc voi mot mat phang; di qua mot diem va song song mot duong thang; di qua mot diem va vuong goc voi 2 duong thang; phuong trinh hinh chieu cua duong thang tren mat phang; Cach xet vi tri giua hai duong thang; giua mot duong thang va mot mat phang. Biet tim hinh chieu cua diem tren duong thang; tren mat phang.

Nam duoc cach lap phuong trinh mat cau trong cac truong hop thuong gap: di qua 4 dinh cua mot tu dien; co tam va tiep xuc voi mot mat phang; qua 3 diem va co tam nam tren mot mat phang; qua 2 diem va tam thuoc mot duong thang. Nam vung cach tim tam va ban kinh cua duong tron giao tuyen giua mat phang va mat cau.

Phan Dai so: Phuong trinh, bat phuong trinh bac hai: Nam vung cach xet dau nhi thuc; tam thuc bac 2; dinh ly dao ve dau tam thuc bac hai.

Phuong trinh chua tri tuyet doi, chua can: Nam vung cac cong thuc co ban; cac phuong phap giai: Bien doi tuong duong; danh gia hai ve; dat an phu; nhan lien hop; dua ve phuong trinh tich…

He phuong trinh: Nam vung cach giai cac he phuong trinh: Bac nhat 2 an; doi xung loai 1, loai 2; dang cap; he phuong trinh tong hop…

Bat dang thuc, gia tri lon nhat va nho nhat: Nam vung phuong phap bien doi tuong duong; ung dung bat dang thuc Co-si (Cauchy) cho 2 hoac 3 so khong am; Bu-nhi-a-cop-ski cho 4 so hay 6 so.

Dieu kien ve so nghiem cua phuong trinh, bat phuong trinh: Nam phuong phap dung do thi va phuong phap dai so de dinh gia tri tham so thoa yeu cau ve nghiem cho truoc.

Phan Luong giac: Giai phuong trinh luong giac: Nam vung cong thuc nghiem, cach giai cac phuong trinh: Co ban; bac nhat theo sinx va cosx; bac 2, 3 doi voi mot ham so luong giac; dua ve tich;… Cac em can hoc thuoc cac cong thuc luong giac de bien doi phuong trinh nhanh va tot hon cung nhu cac he thuc luong giac trong tam giac.

De hoc tot mon Toan, HS phai hieu, thuoc va nam vung cac kien thuc trong sach giao khoa. Khi lam bai tap can theo tuan tu tu de den kho: truoc het hay lam cac bai tap ap dung truc tiep cac cong thuc de cung co ly thuyet, sau do moi lam cac bai tap doi hoi suy luan va tu duy tong hop. Sau khi lam xong mot bai tap can phai kiem tra lai cac buoc giai, rut kinh nghiem cho minh thong qua loi giai bai toan de neu sau nay gap bai toan tuong tu cac em se khong lung tung. Cuoi moi chuong can phai lam nhieu bai toan tong hop.

>>> Hoc cach lam bai thi mon Dia ly

>>> De on luyen mon Sinh mot cach hieu qua

>>> Tranh "bay" thi trac nghiem mon sinh hoc

Viet Bao (Theo MTO)


Tìm hiểu: To Toan, Nguyen Duy Hieu, THPT chuyen Le Hong Phong, thi tot nghiep, vuong goc voi, tinh the tich, tinh dien tich, duong thang, mat phang, nam vung, di qua, cong thuc, mot duong, diem

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