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解题方法
1 . 已知存在实数
使得
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b4ccff2953fa08a24b4425a2bae7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 若
,
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec5077b22a7ee180c7e7d43ff117eb8.png)
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2022-11-12更新
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306次组卷
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3卷引用:上海市杨浦高级中学2023届高三下学期开学考试数学试题
解题方法
3 . 已知函数
,若
恒成立,则t的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a794a372b4a173f378cb55800f5f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e62590e749c11aaace34d1415ae384f.png)
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4 . 函数
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1200a6ede5e1b99d17411321b0eafab.png)
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2022-10-08更新
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2卷引用:江苏省南京市、镇江市部分学校2022-2023学年高三上学期10月学情调查考试数学试题
5 . 已知平面向量
满足
,若
,则
的最小值是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a99229117b580c88df365c7c2235e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c8288b408f6ff899cd79c455f72f2c.png)
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2022高三·全国·专题练习
解题方法
6 . 对任意的
,
,
的最小值为___________ ;若正实数
,
,
满足
,则
的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db29d0ae198382e4c78fc9e6b4b6bbe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f25eab7a209992bfa081c2a15b94754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13a4959b8f9f5251daef7224d521de0.png)
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7 . 已知函数
的图象关于直线
对称,则该函数的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef77517baf40f7c22d686e9de4fea33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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2021-12-24更新
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351次组卷
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3卷引用:专题03 函数的概念与性质(练习)-1
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8 . 对于平面直角坐标系内的任意两点
,
,定义它们之间的一种“距离”
.已知不同三点
,
,
满足
,给出下列四个结论:
①
,
,
三点可能共线.
②
,
,
三点可能构成锐角三角形.
③
,
,
三点可能构成直角三角形.
④
,
,
三点可能构成钝角三角形.
其中所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11261f044780f4682f3015ac3130ce52.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565da23b62d40cc1905bf63f841046c2.png)
①
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
②
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
③
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
④
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
其中所有正确结论的序号是
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2021-01-20更新
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3卷引用:北京市丰台区2021届高三上学期期末数学试题
北京市丰台区2021届高三上学期期末数学试题(已下线)第9章 平面向量(能力提升)-2020-2021学年高一数学单元测试定心卷(苏教版2019必修第二册)北京市昌平区第一中学2021-2022学年高二上学期期中考试数学试题
9 . 对
,若
恒成立,则
的取值范围是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af144cee4213ce894c0c92c33be9b929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-12-02更新
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3卷引用:上海市静安区风华中学2024届高三上学期10月月考数学试题
上海市静安区风华中学2024届高三上学期10月月考数学试题上海市新场中学2020-2021学年高一上学期期中数学试题(已下线)第04讲 基本不等式-【提高班精讲课】2021-2022学年高一数学重点专题18讲(沪教版2020必修第一册,上海专用)
10 . 已知函数
,
,设
的最大值为
,若
时,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bbfff3e69f32bf56e006ed6f1052a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a8949446744ff0a29eb739bc82a5e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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