Đề thi giải Toán bằng máy tính bỏ túi hay

HOÀNG HỒ NAM (chủ biên) Kinh nghiệm giải Toán trên máy tính Casio II In bản lần hai Phiên bản: 93.11.2 Năm học: 20 Năm học: 20Năm học: 20 Năm học: 2011 1111 11 - - 201 201201 2012 22 2 www.VNMATH.com [...]... Kinh nghiệm giải Toán trên máy tính Casio II 2 2 2 2 Ta có: 1 + 2 + 3 + + 100 = 100(100 + 1)(2.100 + 1) 6 = 338350 Cách 2: Sử dụng chức năng tính tổng xích-ma trên máy tính fx 570ES để tính: 100 12 + 2 2 + 32 + + 100 2 = ∑ x 2 1 Quy trình ấn phím trên máy tính fx 570ES: shift alpha X x 2 1 100 = 2011 (Đáp số: ) 2012 Nhận xét: Cách 1 bắt buộc ta phải nhớ công thức nhưng thời gian tính toán sẽ nhanh... xét: Cách 2 sẽ tốt hơn vì tính ra được phân số tối giản Dạng 3: Trình bày một phương pháp kết hợp máy tính và trên giáy để tính được giá trò của số: N = 2222244444 × 55555 M = 123456789 2 Giải 5 3.1 Ta có: N = (22222.10 + 44444) × 55555 N = 22222.55555.105 + 44444.55555 www.VNMATH.com Trang 30 Biên soạn: Hoàng Hồ Nam Kinh nghiệm giải Toán trên máy tính Casio II Tính trên máy giá trò: A = 22222 × 55555... dùng máy tính fx 570MS thì phải chú ý thêm mở ngoặc và đóng ngoặ Nếu không có máy tính hiểu sai về thứ tự thực hiện các phép tính. Việc sử dụng máy tính fx 570ES hiện thò giống sách giao khoa rất dễ để làm các bài tập này Ví dụ quy trình bấm phím sai trên máy tính fx 570MS: 3 × shift 3 2 - shift 20 + shift 3 3 shift 3 5 - shift 3 4- 25 = (Đáp số sai: 1,285259478) Nguyên nhân là phải mở thêm ngoặc vì máy. .. nguyên tố nhỏ hơn a thì ta kiểm tra bằng cách chia số đó cho số 2 và các số lẻ nhỏ hơn a Bài tập tự luyện 3.5.1: Tìm số dư khi chia 20092010 cho 999 3.5.2: Số 4826809 là số nguyên tố hay là hợp số www.VNMATH.com Trang 23 Biên soạn: Hoàng Hồ Nam Kinh nghiệm giải Toán trên máy tính Casio II BÀI 6 ĐỀ BÀI TẬP CĂN BẢN Đề CB1: (Thang điểm 50) Thời gian: 45 phút Chú ý: Nếu đề bài không yêu cầu gì thì thí sinh... 3/2 Hỏi tiền vốn bỏ ra của bộ quần áo đó là bao nhiêu? Bài 3.6.2.10: (5 điểm) Cho 3 số nguyên nếu tích hai số bất kì thì ta được các số sau: 20, 24, 30 Tìm số lớn nhất trong 3 số đó Xem đáp án tự chấm điểm trang 153 www.VNMATH.com Trang 25 Biên soạn: Hoàng Hồ Nam www.VNMATH.com PHẦN IV đề Nâng cao các chuyên đề Giải toán www.VNMATH.com www.VNMATH.com Kinh nghiệm giải Toán trên máy tính Casio II BÀI... nhọn (Làm tròn 4 chữ số ở phần thập phân) Giải - Ta tính góc α bằng cách nhấn: shift cos-1 0,5 = (Kết quả: 60) - Tính các giá trò lượng giác còn lại ta thực hiện tính giá trò lưỡng giác của góc 600 sin α ≈ 0,866 tan α ≈ 1,7321 cot α ≈ 0,5774 Dạng 3: Cho α là góc nhọn với sin α = 0,813 Tính: cos 5α (Lấy hết kết quả hiện thò ở màn hình) Giải Tính góc α rồi tính cos 5α Quy trình bấm phím: shift sin...  2 − 3 =1 c,  x 2y  + = −1 2 3 3.3.3: Giải hệ phương trình:  1,3 x−2 +   3,1  + x−2  3.3.4: Tính 2,4 =1 y −1 4,5 =1 y −1 83249 x + 16571 y = 108249 x biết x và y là nghiệm của hệ:  y  16571x + 83249 y = 41751 www.VNMATH.com Trang 20 Biên soạn: Hoàng Hồ Nam Kinh nghiệm giải Toán trên máy tính Casio II BÀI 4 CÁC BÀI TOÁN ĐỐ Ví dụ 1: Khi dùng máy tính Casio để thực hiện phép chia một số tự...  1+   x − x  − 2 x − x 4    www.VNMATH.com Trang 33 Biên soạn: Hoàng Hồ Nam Kinh nghiệm giải Toán trên máy tính Casio II 4.1.13: Tính và ghi kết quả ở dạng hỗn số: 1 1 579 579 357 b, 403,80689 ÷ 0,404211 + 409465,843 ÷ 404,211 a, 357 4.1.14: Thực hiện biến đổi toán học và kết hợp với máy tính Tính số nghòch đảo của biểu thức: 1 1 1  1 7   1 + + + +  ÷ −  65.72   3 36   2.9 9.16... www.VNMATH.com Trang 34 Biên soạn: Hoàng Hồ Nam Kinh nghiệm giải Toán trên máy tính Casio II BÀI 2 GIÁ TRỊ GÓC, LƯNG GIÁC Dạng 1: Tính giá trò của biểu thức sau chính xác đến 0.0001 A= sin 54°30' '− sin 35°40' ' sin 72°18' '+ sin 20°15' ' Giải Bài toán này trên chỉ có giá trò góc là độ và giây (Không có phút) Để tính ta có quy trình ấn phím trên máy fx 570MS như sau: ( sin 54 o’” 0 o’” 30 o’” – sin 35... www.VNMATH.com Trang 15 Biên soạn: Hoàng Hồ Nam Kinh nghiệm giải Toán trên máy tính Casio II Dạng 3: Tách ra làm nhiều biểu thức nhỏ: 2  4  4  8. × 1,25  1,08 −  ÷ 25  7 5  + 5 1 + (1,2 × 0,5) ÷ 4 +  H=  10 1 2 5 3  5 6,4 − 6 − 3 × 2 25 4  17  9 Giải Do máy tính chỉ nhận 79 bước mà biểu thức trên nhập hết vào sẽ tràn màn hình Giải pháp đơn giản là tách biểu thức ra làm nhiều biểu thức . HOÀNG HỒ NAM (chủ biên) Kinh nghiệm giải Toán trên máy tính Casio II In bản lần hai Phiên bản: 93.11.2 Năm học:. 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. 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