wangweiye
/
mathdeptv2
Archived
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

修改21029题面

This commit is contained in:
wangweiye7840 2023-11-02 15:29:53 +08:00
parent 50f3e22f46
commit 6c131a0e66
1 changed files with 3 additions and 2 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

5
题库0.3/Problems.json
View File

@ -549272,7 +549272,7 @@
},
"021029": {
"id": "021029",
"content": "如图, 已知$OA$是球$O$的半径, $OA=5, O_2$是$OA$上的两点, 平面$\\alpha$、$\\beta$分别通过点$O_2$, 且垂直于$OA$, 截得圆$O_1$和圆$O_2$, 当圆$O_1$、圆$O_2$的面积分别为$9 \\pi$、$21 \\pi$时, 求$O_1O_2$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.4]\n\\filldraw (0,0) circle (0.05) node [below] {$O$};\n\\filldraw (0,5) circle (0.05) node [above] {$A$};\n\\filldraw (0,2) circle (0.05) node [right] {$O_2$};\n\\filldraw (0,4) circle (0.05) node [right] {$O_1$};\n\\draw (0,0) circle (5);\n\\draw [dashed] ({-sqrt(21)},2) arc (180:0:{sqrt(21)} and {sqrt(21)/4});\n\\draw ({-sqrt(21)},2) arc (180:360:{sqrt(21)} and {sqrt(21)/4});\n\\draw [dashed] (-3,4) arc (180:0:3 and {3/4});\n\\draw (-3,4) arc (180:360:3 and {3/4});\n\\draw [dashed] (0,0) -- (0,5);\n\\end{tikzpicture}\n\\end{center}",
"content": "如图, 已知$OA$是球$O$的半径, $OA=5$, $O_1$与$O_2$是$OA$上的两点, 平面$\\alpha$、$\\beta$分别通过点$O_2$, 且垂直于$OA$, 截得圆$O_1$和圆$O_2$, 当圆$O_1$、圆$O_2$的面积分别为$9 \\pi$、$21 \\pi$时, 求$O_1O_2$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.4]\n\\filldraw (0,0) circle (0.05) node [below] {$O$};\n\\filldraw (0,5) circle (0.05) node [above] {$A$};\n\\filldraw (0,2) circle (0.05) node [right] {$O_2$};\n\\filldraw (0,4) circle (0.05) node [right] {$O_1$};\n\\draw (0,0) circle (5);\n\\draw [dashed] ({-sqrt(21)},2) arc (180:0:{sqrt(21)} and {sqrt(21)/4});\n\\draw ({-sqrt(21)},2) arc (180:360:{sqrt(21)} and {sqrt(21)/4});\n\\draw [dashed] (-3,4) arc (180:0:3 and {3/4});\n\\draw (-3,4) arc (180:360:3 and {3/4});\n\\draw [dashed] (0,0) -- (0,5);\n\\end{tikzpicture}\n\\end{center}",
"objs": [],
"tags": [
"第六单元"
@ -549284,7 +549284,8 @@
"usages": [],
"origin": "2024届高二校本作业必修第十一章",
"edit": [
"20230101\t王伟叶"
"20230101\t王伟叶",
"20231102\t王伟叶"
],
"same": [],
"related": [],