1 . 已知
,求函数
的最大值M(a)与最小值m(a).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f274f1247962a5b263183922fedfa086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73370fe2dd6dc4c5e13c59f1174974f.png)
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名校
2 . 已知向量
,
,函数
,
.
(1)若
的最小值为11,求实数m的值;
(2)是否存在实数m,使函数
,
有四个不同的零点?若存在,求出m的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24029e5060944730e019af55f31c3d23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23929564b68855be0bcddd09f88c8a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99fe324cbbf388e74abb4d34fd2a433f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7197a0ef4462d9c49da2207a7588080.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在实数m,使函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88039db503a206ca3e2f4f87f8cb0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320db668117654d39faa0c8ce830e9ea.png)
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2019-09-29更新
|
797次组卷
|
2卷引用:山东省济南市历城第二中学2018-2019学年高一下学期期中数学试题
名校
3 . 已知函数
.
(1)求函数
的值域;
(2)求
在
的所有零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652d0b2c8c2a4250f5269a2cef47a055.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebb9595cfebe608e2b3ec06c10421dd.png)
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4 . 已知向量
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
(1)求
·
及
;
(2)若
,求
的最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb34f494e53bbb24dddabb454e4827b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48062a415d81f451051af234dfa44774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07882aa0d4087bd4e551dbfa437e31d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27dbc69067bd921b66a06618584cb5ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2019-05-01更新
|
1224次组卷
|
5卷引用:【全国百强校】宁夏育才中学2019届高三上学期月考二数学(文)试题
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5 . 设函数
=Asin
(A>0,
>0,
<
≤
)在
处取得最大值2,其图象与x轴的相邻两个交点的距离为
.
(1)求
的解析式;
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3206d37559fc605fec985aef86c629bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7824dcfd5ee3cf3aecf6773e717e7acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2df1bc516cf59796f7610454440afc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487e4c1900ac3f10118a1350137e7b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de12bbd5097debc83d6a46364589748.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8652dbb36294329e8c0c559cae88f6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c75b327b3b9a41f71d462a83d5bf10.png)
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2019-03-05更新
|
1151次组卷
|
5卷引用:【全国百强校】北京市101中学2018-2019学年上学期高一年级期末考试数学试题
6 . 已知x∈[-
,
],
(1)求函数y=cosx的值域;
(2)求函数y=-3sin2x-4cosx+4的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65af1d6b6b831ebbdc36dda5f304a3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2e9c8702019d29d627d324a19c9b35.png)
(1)求函数y=cosx的值域;
(2)求函数y=-3sin2x-4cosx+4的值域.
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2019-01-27更新
|
462次组卷
|
3卷引用:【校级联考】湖北省宜昌市协作体2018-2019学年高一上学期期末考试数学试题
【校级联考】湖北省宜昌市协作体2018-2019学年高一上学期期末考试数学试题新疆伊西哈拉镇中学2018-2019学年高一上学期期末考试数学试卷(已下线)第七章 三角函数(单元测试)-【上好课】2021-2022学年高一数学同步备课系列(苏教版2019必修第一册)
名校
7 . 已知向量
=(cosθ,sinθ),
=(cosβ,sinβ).
(1)若
,求
的值;
(2)若
记f(θ)=
,θ∈[0,
].当1≤λ≤2时,求f(θ)的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108ea10a57efb9cee06546ed8bf26a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc56f59971bd6f2fae7e76a91174d4a8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767af29c0ae8fa7a54c01a333983e3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73908b2ce59c50bdddeeeaf9c6e5652f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e38c0ba5bfe26aa6e188a1160dc1ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b1ac3403a76095aeb28d7f090db5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a197fd4f34662734a2eb6d88c42d86.png)
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名校
8 . 已知
.
若
,且
,求
的值;
求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07256f78f0a2160358485e43c17f984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45532dff4bc2ce22bf2fa9fb62e5a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4296afd373045785640188d3c29702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896fffa8cb8900dcce320d5e2ab857ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df97d572f12df0d5db9d96b4933ae9f.png)
您最近一年使用:0次
2018-12-12更新
|
416次组卷
|
3卷引用:【区级联考】上海市嘉定区2017-2018学年高一(下)期末数学试题
【区级联考】上海市嘉定区2017-2018学年高一(下)期末数学试题上海市市西中学2018-2019学年高三上学期期中数学试题(已下线)上海期末真题精选50题(大题基础版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
名校
9 . 已知函数
.
(1)当
=1时,求该函数的最大值;
(2)是否存在实数
,使得该函数在闭区间
上的最大值为1 ? 若存在,求出对应的
值;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4a120607497c18c9a7774ce9b3f6cc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b77857e15ae11fc94a5e33bfc12d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2018-08-22更新
|
2618次组卷
|
3卷引用:福建省晋江市季延中学2017-2018学年高一下学期期末考试数学试题
名校
10 . 已知向量
,
,且
,
(
为常数).
(1)求
及
;
(2)若
的最小值是
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb34f494e53bbb24dddabb454e4827b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48062a415d81f451051af234dfa44774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4116c387a42cf80251deb63f7eda98f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b195aa36a3c2753ebf08cb464c52ad1e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8b4bbd2f9912adfc9864c0e1e76a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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