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1 . 如图,某公园内有一块边长为2个单位的正方形区域
市民健身用地,为提高安全性,拟在点A处安装一个可转动的大型探照灯,其照射角
始终为
(其中
,
分别在边
,
上),则
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7023ec0f513c7d0ef86859a5ede54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5604d3e156df3e7ccca0ccec9c9d45.png)
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7日内更新
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273次组卷
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5卷引用:江苏省前黄高级中学2024届高三下学期三模适应性考试数学试题
江苏省前黄高级中学2024届高三下学期三模适应性考试数学试题安徽省合肥市第一中学2023-2024学年高一下学期5月期中联考数学试题(已下线)专题03 高一下期末考前必刷卷01(基础卷)-期末考点大串讲(人教A版2019必修第二册)(已下线)专题2 以平面向量数量积为背景的最值与范围问题【讲】(高一期末压轴专项)(已下线)专题03 平面向量的数量积常考题型归类-期末考点大串讲(人教B版2019必修第三册)
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解题方法
2 . 函数
,
,则
的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2492e103144fed2161e1b8c9d6bab212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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解题方法
3 . 已知函数
,
,
,
.对
,都
,使得
成立,则
的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92ca3ac04a2bdc12bceee4dfc986054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b7ef89b540c6a358bec1237df699c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3010c07acbe166b98fc886cc846de51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7409b8e4b38636929d90f0ac54b2ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知函数
,
,若对于任意
,存在
,使得
,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd895c07978d213e56cba4f4da5ae02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d03bb05bb38675f02177d9188d48c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3163cc2d37e7b7fe450f6e8bf8500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
5 . 已知函数
在
上恒成立,则实数a的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ad569559e82c28a6f0e8a131b3f442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
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6 . 已知
是定义域为
的函数,且
是奇函数,
是偶函数,满足
,若对任意的
,都有
成立,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de814435049550fb13ff8ec6d283f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adb2f27ddb3d3acf4eda4f1a5e47e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a4dd352016eb49a7096698699285fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-06-11更新
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740次组卷
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2卷引用:湖南省衡阳市第八中学2024届高三适应性考试数学试题
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解题方法
7 . 若存在实数
,对任意的
,不等式
恒成立.则正数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074f27c3eedd6cdf621740291166dd93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321d2b15fedaed64b73dd243492b9ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
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8 . 已知函数
其中
表示不超过x的最大整数.例如:
给出以下四个结论:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9240d28d04925af94622c1b44452c7.png)
②集合
的元素个数为
;
③存在
,对任意的
,有
;
④
对任意
都成立,则实数
的取值范围是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c296c025b3fb6317f0ac470b4a9816e.png)
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5aa173f638f197610da7be862f77c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3206a00b633415468a59fac4fee543d2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9240d28d04925af94622c1b44452c7.png)
②集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738fddadc955446dd7c3067129bdf256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6b9e309330cf126628e6011c7a881d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8e75172311d14e4b54e4ccbeb5f181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966cc43fa3220739f2d2e091fe4b30f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c296c025b3fb6317f0ac470b4a9816e.png)
其中所有正确结论的序号是
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解题方法
9 . 设
,若在区间
上,关于x的不等式
有意义且能恒成立,则t的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4359d13ea0544aeaa81a79d83fcf758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca382d448a37942c3ee536525da6abc.png)
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2024高三·全国·专题练习
解题方法
10 . 已知函数
在
上的最大值比最小值大
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e28c228b10c427f61ae29f7994c3cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ce20dd544425c8bd3f2a885eca7bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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