diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 833998f5..206335b1 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -1600,7 +1600,9 @@ "20220624\t王伟叶, 余利成" ], "same": [], - "related": [], + "related": [ + "019799" + ], "remark": "", "space": "", "unrelated": [] @@ -505343,6 +505345,34 @@ "space": "4em", "unrelated": [] }, + "019799": { + "id": "019799", + "content": "在同一平面直角坐标系中, 一次函数$y=x+a$与对数函数$y=\\log_ax$($a>0$且$a\\ne 1$)的图像关系可能是\\bracket{20}.\n\\fourch{\\begin{tikzpicture}[scale = 0.5,>=latex]\n \\draw [->] (-2,0) -- (3,0) node [below] {$x$};\n \\draw [->] (0,-2) -- (0,3) node [left] {$y$};\n \\draw (0,0) node [below left] {$O$};\n \\draw (0.1,1) -- (0,1) node [left] {$1$};\n \\draw (1,0) node [below] {$1$};\n \\draw [thick] (-2,-0.3) -- (1.3,3);\n \\draw [thick,domain =-1.1:2.1,samples = 200] plot ({0.5^\\x},\\x);\n\\end{tikzpicture}\n}{\\begin{tikzpicture}[scale = 0.5,>=latex]\n \\draw [->] (-2,0) -- (3,0) node [below] {$x$};\n \\draw [->] (0,-2) -- (0,3) node [left] {$y$};\n \\draw (0,0) node [below left] {$O$};\n \\draw (0.1,1) -- (0,1) node [left] {$1$};\n \\draw (1,0) node [below] {$1$};\n \\draw [thick] (-2,-1.5) -- (2.5,3);\n \\draw [thick,domain =1.5:-1.5,samples = 200] plot ({0.5^\\x},-\\x);\n\\end{tikzpicture}\n}{\\begin{tikzpicture}[scale = 0.5,>=latex]\n \\draw [->] (-2,0) -- (3,0) node [below] {$x$};\n \\draw [->] (0,-2) -- (0,3) node [left] {$y$};\n \\draw (0,0) node [below left] {$O$};\n \\draw (0.1,1) -- (0,1) node [left] {$1$};\n \\draw (1,0) node [below] {$1$};\n \\draw [thick] (-2,-1.5) -- (2.5,3);\n \\draw [thick,domain =-1.1:2.1,samples = 200] plot ({0.5^\\x},\\x);\n\\end{tikzpicture}\n}{\\begin{tikzpicture}[scale = 0.5,>=latex]\n \\draw [->] (-2,0) -- (3,0) node [below] {$x$};\n \\draw [->] (0,-2) -- (0,3) node [left] {$y$};\n \\draw (0,0) node [below left] {$O$};\n \\draw (0.1,1) -- (0,1) node [left] {$1$};\n \\draw (1,0) node [below] {$1$};\n \\draw [thick] (-1.5,-2) -- (3,2.5);\n \\draw [thick,domain =1.5:-1.5,samples = 200] plot ({0.5^\\x},-\\x);\n\\end{tikzpicture}}", + "objs": [ + "K0211001B", + "K0213007B" + ], + "tags": [ + "第二单元" + ], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "教材复习题-20230802修改", + "edit": [ + "20220624\t王伟叶, 余利成", + "20230802\t严捷" + ], + "same": [], + "related": [ + "000062" + ], + "remark": "", + "space": "", + "unrelated": [] + }, "020001": { "id": "020001", "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.",