已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f113715cd36fd9e7fca50c3f44b74a.png)
(1)求
的最小正周期和对称中心;
(2)将
的图像向左移
个单位得函数
的图像,若
的一条对称轴为
求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f113715cd36fd9e7fca50c3f44b74a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c44df13f008434b4571d451cd60befd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496c3382a04116d7ea436bb0221c4404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b269227d9dee916d0d33fe00cde23b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3813524066088a26ffc75e5156d7ad27.png)
更新时间:2019-11-10 22:16:23
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适中
(0.65)
【推荐1】已知函数
,
.
(1)求函数
的最小正周期及单调递增区间;
(2)将
的图象向右平移
个单位得到函数
的图象,若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9a12d23ec3d6f21c1714e1318b02cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b392ae979e54da7e26bbc2d967a72666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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适中
(0.65)
【推荐2】已知函数y=4cos2x-4
sinxcosx-1(x∈R).
(1)求出函数的最小正周期;
(2)求出函数的最大值及其相对应的x值;
(3)求出函数的单调增区间;
(4)求出函数的对称轴.
![](https://img.xkw.com/dksih/QBM/2011/2/21/1570004333240320/1570004338442240/STEM/bb2fc5f9b2754f338f01e0aad689ae58.png?resizew=21)
(1)求出函数的最小正周期;
(2)求出函数的最大值及其相对应的x值;
(3)求出函数的单调增区间;
(4)求出函数的对称轴.
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解答题-问答题
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适中
(0.65)
【推荐3】函数
(其中
,
,
)的部分图象如图所示,把函数
的图象向右平移
个单位,得到函数
的图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/1cc6f953-7fad-4706-8c21-a44a7460d985.png?resizew=200)
(1)当
时,求函数
的单调递增区间;
(2)对于
,是否总存在唯一的实数
,使得
成立?若存在,求出实数m的值或取值范围;若不存在,说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec89c3bc454d209007c2b29baeeb3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9531427f246890e815b7ed47e78daa78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28c41c0dab365316497fd39e0426966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/1cc6f953-7fad-4706-8c21-a44a7460d985.png?resizew=200)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/838c0908f6eeb98e373dc30740a2d1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0226e8a4275aa3413eefa653772812fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb566e204173c8aab153deea56647d2.png)
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适中
(0.65)
【推荐1】已知函数
,
(Ⅰ)求
的值;
(Ⅱ)求函数
的最小正周期和单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49951a3062986f3ab6ed670efd5d754c.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87f4ef298bdeebf59a0d850aff72c.png)
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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适中
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名校
【推荐2】已知函数
.
(1)求
的单调递增区间与最小正周期;
(2)设△ABC为锐角三角形,角A所对边
,角B所对边
,若
,求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e73e99865c5111ab55bbd76405d129.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设△ABC为锐角三角形,角A所对边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd48113303a77f9329c00249721b802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66dda9b69b8b7ccf878f2759aca4ef32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8307bb6f4a22abf0720d04d002b87d.png)
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适中
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名校
【推荐1】函数
的部分图象如图所示.
的图象的对称中心;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4888e71eb482bad8102bcdaab6ef2eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8af5297c9949914aceb44d6b1df814c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6c553e3698ff5ed19800ab21204664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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适中
(0.65)
名校
【推荐2】已知函数
.
(1)求函数
的对称中心和单调递减区间;
(2)若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f214be30dbba4763ded5748c2b99b57.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f556dcbf9aec963458286c74dbaf1833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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适中
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名校
【推荐1】已知向量
,
,且
.
(1)求
的值;
(2)求
的取值范围;
(3)记函数
,若
的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e1a00a5c5b59b9769f4345235c521a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479ce72ceb03ab44559aa44b3890869e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67c1962c3ed8ad1e3a689ebac4b6b31.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(3)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6830d9d6ad96075399f305ed95bebf.png)
![](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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(0.65)
名校
【推荐2】已知向量
=(cosθ,sinθ),
=(cosβ,sinβ).
(1)若
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![](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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