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修改10352题面

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weiye.wang 2024-02-16 16:41:39 +08:00
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commit 4ab0bebd92
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题库0.3/Problems.json
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@ -291263,7 +291263,7 @@
}, },
"010352": { "010352": {
"id": "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": [], "objs": [],
"tags": [ "tags": [
"第五单元" "第五单元"
@ -291275,7 +291275,8 @@
"usages": [], "usages": [],
"origin": "新教材必修第二册习题", "origin": "新教材必修第二册习题",
"edit": [ "edit": [
"20220806\t王伟叶" "20220806\t王伟叶",
"20240216\t王伟叶"
], ],
"same": [], "same": [],
"related": [], "related": [],
@ -591924,7 +591925,7 @@
}, },
"021765": { "021765": {
"id": "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": [], "objs": [],
"tags": [ "tags": [
"第五单元" "第五单元"
@ -591945,7 +591946,8 @@
], ],
"origin": "2025届高一下校本作业", "origin": "2025届高一下校本作业",
"edit": [ "edit": [
"20230209\t王伟叶" "20230209\t王伟叶",
"20240216\t王伟叶"
], ],
"same": [], "same": [],
"related": [], "related": [],