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1 . 已知向量
.
(1)设
,求
在
上的减区间;
(2)若
,向量
与
共线,且x为第二象限角,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a4b1b6c821466c7d5b7dffb4763c3f.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02669c4b39f9a4e148f4abbe2ce9b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e64d854922db44d182841981562f5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737d61df8bcff0b4e75d7084e75f23ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058d8811c63e7a402a329b9b3c9e39c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f6b141026558558fe73e16f904969e.png)
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2020-03-29更新
|
228次组卷
|
2卷引用:2020届安徽省合肥一中高三上学期10月段考数学(理)试题
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解题方法
2 . 已知函数
(
)图象上任意两条相邻对称轴间的距离为
.
(1)求
的值和
的单调递增区间;
(2)若
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cff238a8d6a5f723a2b95c78e01c37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517daac9aa260866798457d3018c64bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
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3 . 已知函数
,
.
(1)若
,求
的值;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1cf8cc0ca8fbbc8863fb416e25730f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311d1e549a865c39f661ec01320ff63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a595336ccabc983e901e01c4bf5e4fb7.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1acbb1ce3c70c9ec4db22c61f6579df.png)
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2020-02-18更新
|
185次组卷
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2卷引用:安徽省马鞍山市第二中学2018-2019学年高一下学期开学考试数学试题
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4 . 已知向量
,
,函数
.
(1)求
的最小正周期及
取得最小值时
的值;
(2)若
求
的单调区间和最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d855918f35a7cd712ed533619553a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84376c5fa3189f534a10033f7d69bebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31474314add4c90fcfd2f89ec3ea29e3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2019-11-15更新
|
471次组卷
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2卷引用:安徽省阜阳市临泉第一中学2022-2023学年高三上学期期中数学试题
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5 . 已知函数
,
,
分别是曲线
上的一个最高点和一个最低点,且
的最小值为
.
(1)求函数
的单调递增区间和曲线
的对称中心的坐标;
(2)若不等式
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f497c82385aecebf0b95b25355e83fd.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/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6adab85a90328304841f635b813b4f2f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a54b2d9e53b36ba0721cb24d04b6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc29e82c62fb3b8d94138e2ed04970a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-11-05更新
|
443次组卷
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3卷引用:安徽省皖南八校2019-2020学年高三上学期第一次联考数学(文)试题
6 . 已知函数
的图象的一条对称轴为
.
(Ⅰ)求
的最小正周期及单调递增区间;
(Ⅱ)求
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baac1d7a9799b3fbfceeaa342c089c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab907d65c51caf92068f9d48aa9a2bf.png)
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7 . 已知函数
的图象的一个对称中心为
.
(Ⅰ)求
的最小正周期及单调递增区间;
(Ⅱ)求
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baac1d7a9799b3fbfceeaa342c089c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a83571e1cbc31c560f83e5f1e6a4b9f.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab907d65c51caf92068f9d48aa9a2bf.png)
您最近一年使用:0次
名校
8 . 已知函数
,其中
,
,
,
其部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/8d5d2840-e79f-4ed7-84bd-5d2280949992.png?resizew=200)
(1)求函数
的解析式与单调增区间;
(2)当
时,求函数
的最大值与最小值及此时相应
的值.
![](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/4c923c64d63d2a195e1982f616c23544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/8d5d2840-e79f-4ed7-84bd-5d2280949992.png?resizew=200)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4908e3b4e523c042732ccb7c215aac99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2019-06-07更新
|
610次组卷
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2卷引用:安徽省亳州市涡阳第一中学2018-2019学年高一下学期第二次质量检测数学(文)试题
名校
9 . 已知向量
.
(1)若
,求
的值;
(2)求函数
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b1719a12eec509a4365b7c0a011346.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca0ed4d765007d0957fd85377f2cc43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff3cb7137bd3bdbaa12a3a09c09816c.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a56b1f745a78c71ddfbb44837231c5.png)
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10 . 设平面向量
,
,函数
.
(Ⅰ)求
时,函数
的单调递增区间;
(Ⅱ)若锐角
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597d21c837f2447906b27b6459163798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d11dd197d24445886421d4959eb7bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a56b1f745a78c71ddfbb44837231c5.png)
(Ⅰ)求
![](https://img.xkw.com/dksih/QBM/2019/7/19/2250084554760192/2290471713046528/STEM/a57078e993e94218a53175ed0c825dcd.png?resizew=64)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)若锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3472a1078ff8ab728c94ad473b3f6556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1236ac3cdf99e858fe01f97a012e6a.png)
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2019-09-14更新
|
943次组卷
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7卷引用:安徽省涡阳县第一中学2018-2019学年高一下学期期末考试数学(理)试题