名校
解题方法
1 . 在①
,②
,③
,这三个条件中选择一个,补充在下面问题中,并给出解答
如图,在五面体
中,已知___________,
,
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/3bdae97f-1469-4747-829f-667660e2fca3.png?resizew=212)
(1)求证:平面
与平面
;
(2)线段
上是否存在一点
,使得平面
与平面
夹角的余弦值等于
,若存在,求
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57cb0d726cc25a350dc792b539ff2f2.png)
如图,在五面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc22c901160e072ae13a66f62c489f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05426a41ec7b22c0445bfe78d786c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7422660f0635be92e11838af5f4b4b5e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/3bdae97f-1469-4747-829f-667660e2fca3.png?resizew=212)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5f0cfc1049f84a04c81bd213afb8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293a2e244834864e78e93d8c13be6905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72acf5ee54c89dede4358c61ecd7a101.png)
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2021-12-22更新
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2289次组卷
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7卷引用:数学-2022届高三下学期开学摸底考试卷(山东专用)
(已下线)数学-2022届高三下学期开学摸底考试卷(山东专用)浙江省杭州第二中学滨江校区2021-2022学年高二上学期期中数学试题山西省运城市2022届高三上学期期末数学(理)试题重庆市第八中学2022届高三下学期调研检测(五)数学试题四川省成都市石室中学2021-2022学年高三下学期第三次诊断性考试数学(理)试题(已下线)北京市丰台区2023届高三下学期3月一模数学试题变式题16-21江苏省扬州市2024届高三上学期期初模拟数学试题
2 . 如下图①,在直角梯形
中,
,
,
,点
在线段
上运动.如下图②,沿
将
折至
,使得平面
平面
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe005f6989456d84528c72265fe0404e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b1e717e9fc4481050672eec8ac5c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2657e02314469ad2b13d31dce41b4343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a534c0b15fde45f309ca30950e687f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4db79ed8c305bed8a99642a0405446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c92b5799d12ea37de46d7c942ce7a9.png)
![](https://img.xkw.com/dksih/QBM/2020/5/12/2461213236322304/2462753879638016/STEM/c6c27e802df24904ad85d874100fe414.png?resizew=474)
您最近一年使用:0次