解题方法
1 . 已知函数
,当___________,(从① ②中选出一个作为条件)时,必有___________(从③ ④中选出一个作为结论),写出命题并加以证明
①
;②
;③ 不等式
的解集
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44247d9c29d9de03e3cfd9cf48eeebd1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34dda3a3a75c85b156e750b6859232b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65f93890f5a4c4d427c73d05b3fc0a7.png)
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名校
2 . 如图,
,
是两条互相垂直的异面直线,点
、
在直线
上,点
、
在直线
上,
、
分别是线段
、
的中点,且
,
.
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734521055207424/2736339753345024/STEM/f9696d244bb64f5f944dd5ab54a528e0.png?resizew=174)
(1)证明:
平面
;
(2)设平面
与平面
所成的角为
.现给出下列四个条件:
①
;②
;③
;④
.
请你从中再选择两个条件以确定
的值,并求之.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5525e0a6ba3d15ecfe230ee80d092c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3643fbbf4e0775dea240dff8fd6dad.png)
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734521055207424/2736339753345024/STEM/f9696d244bb64f5f944dd5ab54a528e0.png?resizew=174)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588690c4a218025937357ffab8d63c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab72c2fb8817dc52c9c8a798d9bbb483.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de71e0754890ef6b886514e0c6ddde97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2082fe5770b07e6283a2e2b52b6c3779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b47a08a25693bbfa01026573625ad15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900531973c546625694146fa1509ab9.png)
请你从中再选择两个条件以确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
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2021-06-05更新
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