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答案中添加几个图像

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wangweiye7840 2024-01-26 12:53:37 +08:00
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题库0.3/Problems.json
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@ -634223,14 +634223,15 @@
"V20260104-2026届高一寒假作业04"
],
"genre": "解答题",
"ans": "(1) 把函数$y=x^{-\\frac{7}{5}}$的图像向右平移$1$个单位, 向下平移$2$个单位, 可以得到函数$y=(x-1)^{-\\frac{7}{5}}-2$的图像. 图像略; (2) 把$y=\\dfrac{1}{|x|-1}$的图像可以由图像$y=\\dfrac{1}{x}$向右平移$1$个单位,再去掉$y$轴左侧的图像, 复制$y$轴右侧的图像并沿$y$轴翻折而得到. 图像略",
"ans": "(1) 把函数$y=x^{-\\frac{7}{5}}$的图像向右平移$1$个单位, 向下平移$2$个单位, 可以得到函数$y=(x-1)^{-\\frac{7}{5}}-2$的图像. 图像: \\begin{tikzpicture}[>=latex, scale = 0.3]\n\\draw [->] (-6,0) -- (6,0) node [below] {$x$};\n\\draw [->] (0,-6) -- (0,6) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = {1+exp(-5/7*ln(8))}:6, samples = 100] plot (\\x,{exp(-7/5*ln(\\x-1))-2});\n\\draw [domain = -6:{1-exp(-5/7*ln(4))}, samples = 100] plot (\\x,{-exp(-7/5*ln(1-\\x))-2});\n\\draw [dashed] (-6,-2) -- (6,-2) (1,-6)-- (1,6);\n\\end{tikzpicture};\\\\\n(2) 把$y=\\dfrac{1}{|x|-1}$的图像可以由图像$y=\\dfrac{1}{x}$向右平移$1$个单位,再去掉$y$轴左侧的图像, 复制$y$轴右侧的图像并沿$y$轴翻折而得到. 图像: \\begin{tikzpicture}[>=latex, scale = 0.3]\n\\draw [->] (-6,0) -- (6,0) node [below] {$x$};\n\\draw [->] (0,-6) -- (0,6) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain= -6:{-7/6}, samples = 100] plot (\\x,{1/(abs(\\x)-1)});\n\\draw [domain= {-5/6}:{5/6}, samples = 100] plot (\\x,{1/(abs(\\x)-1)});\n\\draw [domain= {7/6}:6, samples = 100] plot (\\x,{1/(abs(\\x)-1)});\n\\draw [dashed] (-1,-6) -- (-1,6) (1,-6) -- (1,6);\n\\end{tikzpicture}",
"solution": "",
"duration": -1,
"usages": [],
"origin": "26届寒假作业补充题目",
"edit": [
"20240108\t王伟叶",
"20240113\t王伟叶"
"20240113\t王伟叶",
"20240126\t王伟叶"
],
"same": [],
"related": [],
@ -634658,13 +634659,14 @@
"V20260105-2026届高一寒假作业05"
],
"genre": "解答题",
"ans": "(1)图略; (2)定义域为$[1,3]$,值域为$[0,1]$, 在$[1,2]$上严格增, 在$[2,3]$上严格减",
"ans": "(1) \\begin{tikzpicture}[>=latex]\n\\draw [->] (0,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,0) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (3,0) arc (0:180:1);\n\\draw (1,0) node [below] {$1$} (3,0) node [below] {$3$};\n\\draw [dashed] (2,0) node [below] {$2$} -- (2,1) -- (0,1) node [left] {$1$};\n\\end{tikzpicture} ; (2)定义域为$[1,3]$, 值域为$[0,1]$, 在$[1,2]$上严格增, 在$[2,3]$上严格减",
"solution": "",
"duration": -1,
"usages": [],
"origin": "26届寒假作业补充题目",
"edit": [
"20240108\t王伟叶"
"20240108\t王伟叶",
"20240126\t王伟叶"
],
"same": [],
"related": [],