Toán lớp 11 - Đề kiểm tra 45 phút - Toán lớp 11 - Tháng 10 - Số 2
{"save":1,"level":1,"time":"45","total":20,"point":5,"segment":[{"id":"158","test_id":"206","question":"<p>Trong m\u1eb7t ph\u1eb3ng <span class=\"math-tex\">$Oxy$<\/span>, cho <span class=\"math-tex\">$\\left( C \\right):{\\left( {x - 2} \\right)^2} + {\\left( {y + 4} \\right)^2} = 8$<\/span>. Tìm \u1ea3nh c\u1ee7a <span class=\"math-tex\">$(C)$<\/span> qua <span class=\"math-tex\">${V_{\\left( {O,\\dfrac{3}{2}} \\right)}}$<\/span><\/p>","options":["A. <span class=\"math-tex\">${\\left( {x - 6} \\right)^2} + {\\left( {y + 12} \\right)^2} = 8$<\/span>","B. <span class=\"math-tex\">${\\left( {x + 3} \\right)^2} + {\\left( {y - 6} \\right)^2} = 8$<\/span>","C. <span class=\"math-tex\">${\\left( {x - 3} \\right)^2} + {\\left( {y + 12} \\right)^2} = 18$<\/span>","D. <span class=\"math-tex\">${\\left( {x - 3} \\right)^2} + {\\left( {y + 6} \\right)^2} = 18$<\/span>"],"correct":"4","answer":"<p>\u0110\u01b0\u1eddng tròn <span class=\"math-tex\">$(C)$<\/span> có: <span class=\"math-tex\">$I(2;-4), R=2\\sqrt 2$<\/span><\/p><p>V\u1edbi phép v\u1ecb t\u1ef1 <span class=\"math-tex\">${V_{\\left( {O,\\dfrac{3}{2}} \\right)}}$<\/span> s\u1ebd bi\u1ebfn <span class=\"math-tex\">$I$<\/span> thành <span class=\"math-tex\">$I^{\\prime}(x^{\\prime};y^{\\prime})$<\/span> và <span class=\"math-tex\">$R^{\\prime}=\\dfrac{3}2R=3\\sqrt 2$<\/span> <\/p><p>Khi \u0111ó: <span class=\"math-tex\">$\\left\\{ \\begin{array}{l} x^{\\prime}=\\dfrac{3}{2}x = 3\\\\ y^{\\prime} = \\dfrac{3}{2}y = - 6\\end{array} \\right.$<\/span><span class=\"math-tex\">$\\Rightarrow I^{\\prime}(3; - 6)$<\/span><\/p><p> <\/p>","type":"choose","user_id":"88","test":"0","date":"2020-03-12 10:45:35"},{"id":"159","test_id":"206","question":"<p>Trong m\u1eb7t ph\u1eb3ng <span class=\"math-tex\">$Oxy$<\/span>, tìm \u1ea3nh c\u1ee7a \u0111i\u1ec3m <span class=\"math-tex\">$M(-1;-2)$<\/span> qua phép quay <span class=\"math-tex\">${Q_{\\left( {O,{{180}^0}} \\right)}}$<\/span><\/p>","options":["A. <span class=\"math-tex\">$M^{\\prime}(1;2)$<\/span>","B. <span class=\"math-tex\">$M^{\\prime}(2;1)$<\/span>","C. <span class=\"math-tex\">$M^{\\prime}(-1;2)$<\/span>","D. <span class=\"math-tex\">$M^{\\prime}(2;-1)$<\/span>"],"correct":"1","answer":"<p>G\u1ecdi <span class=\"math-tex\">$M^{\\prime}(x^{\\prime};y^{\\prime})$<\/span> là \u1ea3nh c\u1ee7a \u0111i\u1ec3m <span class=\"math-tex\">$M(-1;-2)$<\/span> qua phép quay <span class=\"math-tex\">${Q_{\\left( {O,{{180}^0}} \\right)}}$<\/span><\/p><p>Khi \u0111ó: <span class=\"math-tex\">$M^{\\prime}(x^{\\prime};y^{\\prime})$<\/span> s\u1ebd \u0111\u1ed1i x\u1ee9ng v\u1edbi <span class=\"math-tex\">$M(-1;-2)$<\/span> qua tâm <span class=\"math-tex\">$O(0;0)$<\/span><\/p><p>Suy ra : <span class=\"math-tex\">$M\u200b\u200b^{\\prime}(1;2)$<\/span><\/p>","type":"choose","user_id":"88","test":"0","date":"2020-03-12 10:47:10"}]}