From a5bd9e1fff6046ff282ffa1e54699b7a9c699a49 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Thu, 15 Feb 2024 13:12:13 +0800 Subject: [PATCH] =?UTF-8?q?=E4=BF=AE=E6=94=B923628=E9=A2=98=E9=9D=A2?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 147964fd..99ae2647 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -644846,24 +644846,26 @@ }, "023628": { "id": "023628", - "content": "已知 $\\overrightarrow{a}$、$\\overrightarrow{b}$ 为非零向量. 若 $\\overrightarrow{a}\\cdot \\overrightarrow{b}=-\\dfrac{\\sqrt{3}}{3}$, 向量 $\\overrightarrow{b}$ 在向量 $\\overrightarrow{a}$ 上的投影向量是 $\\overrightarrow{c}$, 向量 $\\overrightarrow{a}$ 在向量 $\\overrightarrow{b}$ 上的投影向量是 $\\overrightarrow{d}$, 则下列结论正确的是 (填上所有你认为正确的选项).\n\\fourch{$|\\overrightarrow{c}|=|\\overrightarrow{d}|$}{$\\overrightarrow{a}\\cdot \\overrightarrow{b}=\\overrightarrow{a}\\cdot \\overrightarrow{c}$}{$\\overrightarrow{d}=\\dfrac{\\sqrt{3}}{3}\\overrightarrow{b}$}{$\\overrightarrow{c}\\cdot \\overrightarrow{d}=-\\dfrac{\\sqrt{3}}{9}$}", + "content": "已知 $\\overrightarrow{a}$、$\\overrightarrow{b}$ 为非零向量. 若 $\\overrightarrow{a}\\cdot \\overrightarrow{b}=-\\dfrac{\\sqrt{3}}{3}$, 向量 $\\overrightarrow{b}$ 在向量 $\\overrightarrow{a}$ 上的投影向量是 $\\overrightarrow{c}$, 向量 $\\overrightarrow{a}$ 在向量 $\\overrightarrow{b}$ 上的投影向量是 $\\overrightarrow{d}$, 则下列结论正确的是\\blank{50}(填上所有你认为正确的选项).\\\\\n\\textcircled{1} $|\\overrightarrow{c}|=|\\overrightarrow{d}|$; \\textcircled{2} $\\overrightarrow{a}\\cdot \\overrightarrow{b}=\\overrightarrow{a}\\cdot \\overrightarrow{c}$; \\textcircled{3} $\\overrightarrow{d}=\\dfrac{\\sqrt{3}}{3}\\overrightarrow{b}$; \\textcircled{4} $\\overrightarrow{c}\\cdot \\overrightarrow{d}=-\\dfrac{\\sqrt{3}}{9}$.", "objs": [], "tags": [ "第五单元" ], - "genre": "解答题", + "genre": "填空题", "ans": "", "solution": "", "duration": -1, "usages": [], "origin": "自拟题目", "edit": [ - "20240122\t赵琍琍" + "20240122\t赵琍琍", + "20240215\t王伟叶", + "20240215\t王伟叶" ], "same": [], "related": [], "remark": "", - "space": "4em", + "space": "", "unrelated": [] }, "023629": {