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修改10352题面

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weiye.wang 2024-02-16 16:41:39 +08:00
parent b6c8bf4436
commit 4ab0bebd92
1 changed files with 6 additions and 4 deletions
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10
题库0.3/Problems.json
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@ -291263,7 +291263,7 @@
},
"010352": {
"id": "010352",
"content": "在四边形$ABCD$中, 设向量$\\overrightarrow{AB}=\\overrightarrow a$, $\\overrightarrow{BC}=\\overrightarrow b$, $\\overrightarrow{CD}=\\overrightarrow c$, $\\overrightarrow{DA}=\\overrightarrow d$, 且$\\overrightarrow a\\cdot \\overrightarrow b=\\overrightarrow b\\cdot\n\\overrightarrow c=\\overrightarrow c\\cdot \\overrightarrow d=\\overrightarrow d\\cdot \\overrightarrow a$. 求证: 四边形$ABCD$是矩形.",
"content": "在平面四边形$ABCD$中, 设向量$\\overrightarrow{AB}=\\overrightarrow a$, $\\overrightarrow{BC}=\\overrightarrow b$, $\\overrightarrow{CD}=\\overrightarrow c$, $\\overrightarrow{DA}=\\overrightarrow d$, 且$\\overrightarrow a\\cdot \\overrightarrow b=\\overrightarrow b\\cdot\n\\overrightarrow c=\\overrightarrow c\\cdot \\overrightarrow d=\\overrightarrow d\\cdot \\overrightarrow a$. 求证: 四边形$ABCD$是矩形.",
"objs": [],
"tags": [
"第五单元"
@ -291275,7 +291275,8 @@
"usages": [],
"origin": "新教材必修第二册习题",
"edit": [
"20220806\t王伟叶"
"20220806\t王伟叶",
"20240216\t王伟叶"
],
"same": [],
"related": [],
@ -591924,7 +591925,7 @@
},
"021765": {
"id": "021765",
"content": "已知平面上的三点$A$、$B, C$与$BD$满足$(\\overrightarrow{BC} \\cdot \\overrightarrow{CA}): (\\overrightarrow{AB} \\cdot \\overrightarrow{CA}): (\\overrightarrow{BC} \\cdot \\overrightarrow{AB})=3: 4: 5$, 则\n$A$、$B$、$C$这三点的关系是\\bracket{20}.\n\\twoch{是一个直角三角形的三个顶点}{是一个钝角三角形的三个顶点}{是一个锐角三角形的三个顶点}{三点共线}",
"content": "已知平面上的三点$A$、$B$、$C$与$BD$满足$(\\overrightarrow{BC} \\cdot \\overrightarrow{CA}): (\\overrightarrow{AB} \\cdot \\overrightarrow{CA}): (\\overrightarrow{BC} \\cdot \\overrightarrow{AB})=3: 4: 5$, 则\n$A$、$B$、$C$这三点的关系是\\bracket{20}.\n\\twoch{是一个直角三角形的三个顶点}{是一个钝角三角形的三个顶点}{是一个锐角三角形的三个顶点}{三点共线}",
"objs": [],
"tags": [
"第五单元"
@ -591945,7 +591946,8 @@
],
"origin": "2025届高一下校本作业",
"edit": [
"20230209\t王伟叶"
"20230209\t王伟叶",
"20240216\t王伟叶"
],
"same": [],
"related": [],