名校
1 . 已知函数
,(
,
)函数部分如图所示.
(Ⅰ)求函数
表达式;
(Ⅱ)求函数
的单调递增区间.
![](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/e1e8ac1f9d3724eef004af40300f013b.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2017/5/3/1678898212831232/1737214551220224/STEM/061528914fc44a7e8b709d6450b4d683.png?resizew=165)
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2 . 已知向量
,
,
.
(1)若
,求角
;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9496e6a13324a06ed0253695a330c889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8b2a98a3123c3f77ce75ef9a96002c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685e80ae99fc262a6c243b67675a03c2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ee59964f020fc52b5ba66a3f5fcc3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2356d562e4e5f11e018bf7d408eb1bf.png)
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名校
3 . 若非零向量
与向量
的夹角为钝角,
,且当
时,
取最小值
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03ef3e7fb905b47f36c4630fcc65dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d6d76671feb23f635a5b77ebb49a460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23b9778f0ba777acdda8f78cc690805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dccf5af2912b02864d4c3981225fad8b.png)
A.1 | B.3 | C.6 | D.![]() |
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解题方法
4 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求
的最小正周期;
(2)求
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6cf88d7e32ee27762591f95fe82aaa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f5b2207d0c6b602656d59e35d4ac8d.png)
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名校
5 .
,
,则向量
与
夹角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02c4a5ad4b595f21dc338a2b8e85d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10794a812fa883ac72264c18f063264a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 设
是单位圆上三点,若
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9369aed2d8309af46ac3eaffb9cce537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c096bd244d7e30e8ef26fb5278aac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442e34f9ebda5c3ac4a106d9ad371e6b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知扇形的周长是5
,面积是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
,则扇形的中心角的弧度数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ccdc7aaa645c8bcc8978cda5479821.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-07-24更新
|
823次组卷
|
2卷引用:江西省九江第一中学2016-2017学年高一下学期期中考试数学(文)试题
名校
解题方法
8 . 函数
的最大值为
,最小值为
则有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515f0c939faf1843aec101ea36e0bac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
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解题方法
9 . 已知
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15066efbc18ffd9c0bc1c148a5bb769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88db05dde3aa3a4a17b9269bf6327a6b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-06-04更新
|
400次组卷
|
3卷引用:江西省九江第一中学2016-2017学年高一下学期期中考试数学(文)试题
13-14高一下·江西九江·期中
名校
10 . 已知向量
,向量
与向量
的夹角为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f643616cd3d2459c506c8647641f081f.png)
;
(1) 求向量
;
(2) 设向量
,向量
,其中
,若
,试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436ea16dea6aec60b738a82db53ab520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f5881bbc1643473cdbdd155178790b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f643616cd3d2459c506c8647641f081f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e4c403759024e71362fdc528d89d8b.png)
(1) 求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
(2) 设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6058a2d06b42c223208e37b901b7ff9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9240c383bdf8712c5b5a4bf6ba45007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68eb8267b0584d9b94347e8568b698d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2393ebd66fd94bc114aaeb9e2255f0a9.png)
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2016-12-03更新
|
1233次组卷
|
4卷引用:2013-2014学年江西省九江七校高一下学期期中联考数学试卷
(已下线)2013-2014学年江西省九江七校高一下学期期中联考数学试卷广东省深圳市宝安中学2016-2017学年高一下学期期中考试数学(理)试题福建省福州市第一中学2019-2020学年高一在线自测自评质检数学试题(已下线)2021年全国高考甲卷数学(理)试题变式题11-15题