Ôn thi tốt nghiệp THPT môn Toán - Lớp 12 - Đề thi thử tốt nghiệp THPT môn Toán năm 2025 của Hậu Giang
{"save":1,"level":1,"time":"90","total":34,"point":5,"segment":[{"id":"3875","test_id":"490","question":"<p>Nguyên hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$f(x)=e$<\/span> là<\/p>","options":["A. <span class=\"math-tex\">$x^e+C$<\/span>","B. <span class=\"math-tex\">$\\frac{e^2}{2}+C$<\/span>","C. <span class=\"math-tex\">$ex+C$<\/span>","D. <span class=\"math-tex\">$\\frac{ex}{log e} +C$<\/span>"],"correct":"3","answer":"<p>\u0110áp án \u0111úng là: <span style=\"color:#16a085;\"><strong>C. <span class=\"math-tex\">$ex+C$<\/span>.<\/strong><\/span><\/p><p>Ta có: <span class=\"math-tex\">$\\displaystyle \\int f(x)dx=\\int edx=ex + C$<\/span>.<\/p>","type":"choose","user_id":"126","test":"0","date":"2025-05-14 14:51:07"},{"id":"3876","test_id":"490","question":"<p>Cho hình ph\u1eb3ng (H) gi\u1edbi h\u1ea1n b\u1edfi \u0111\u1ed3 th\u1ecb hàm s\u1ed1 <span class=\"math-tex\">$y=x^2-4x$<\/span>, tr\u1ee5c hoành và hai \u0111\u01b0\u1eddng th\u1eb3ng x = 1 và x = 3. Kh\u1ed1i tròn xoay \u0111\u01b0\u1ee3c t\u1ea1o thành khi quay hình ph\u1eb3ng (H) quanh tr\u1ee5c Ox có th\u1ec3 tích là<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$V=\\dfrac{406}{15}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$V=\\dfrac{406}{15}\\pi$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$V=\\dfrac{22}{3}\\pi$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$V=\\dfrac{512}{15}\\pi$<\/span>"],"correct":"2","answer":"<p>\u0110áp án \u0111úng là: <span style=\"color:#16a085;\"><strong>B. <span class=\"math-tex\">$V=\\dfrac{406}{15}\\pi$<\/span>.<\/strong><\/span><\/p><p>Th\u1ec3 tích c\u1ee7a kh\u1ed1i tròn xoay là<\/p><p><span class=\"math-tex\">$V=\\pi\\displaystyle\\int\\limits_{1}^{3}(x^2-4x)^2dx=\\pi\\displaystyle\\int\\limits_{1}^{3}(x^4-8x^3+16x^2)dx=\\pi.\\bigg(\\dfrac{x^5}{5}-2x^4+\\dfrac{16}{3}x^3\\bigg)\\bigg|_1^3=\\dfrac{406}{15}\\pi$<\/span>.<\/p>","type":"choose","user_id":"126","test":"1","date":"2025-05-14 14:55:38"}]}