1 . 已知函数
,
.
(1)若
,求使
的x的取值范围;
(2)当
时,设
,求
在区间
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9e5c2f3e134ee0bb885fdc71c99c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e357538192b0086515ca082025dad9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
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2024-05-12更新
|
260次组卷
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2卷引用:江西省宜春市丰城市第九中学2023-2024学年高二下学期第二次段考数学试题
名校
解题方法
2 . 已知函数
,x
R.
(1)求
的最小正周期;
(2)求
在区间
上的最小值并指出此时
的取值;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d270cf62995ecaabfbcadbc71a974290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15539a8438be3774bc02d3b81183110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc28b68212359e66cf2eac690a85232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff0e5c78c04beea4e773185195da30.png)
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2024-05-08更新
|
1378次组卷
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4卷引用:江西省南昌市第五高级中学2023-2024学年高一下学期期中考试数学试卷
江西省南昌市第五高级中学2023-2024学年高一下学期期中考试数学试卷江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题(已下线)模块四 期中重组卷1(江苏南京)(苏教版)(已下线)江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题变式题16-19
3 . 已知函数
.
(1)若
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878495ada2e82dcdc4abf4777c7a6793.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b69b4e577157503a5e5bb8d787083c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16c2824a2396621cab770a416d603e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62ebfa42f751ba9902e4afb95015e6f.png)
您最近一年使用:0次
2024-05-08更新
|
880次组卷
|
5卷引用:江西省南昌市第十中学2023-2024学年高一下学期第二次月考数学试题
江西省南昌市第十中学2023-2024学年高一下学期第二次月考数学试题江苏省海门中学2023-2024学年高一下学期期中考试数学试卷(已下线)期末押题卷01(考试范围:苏教版2019必修第二册)-【帮课堂】(苏教版2019必修第二册)(已下线)专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)(已下线)高一数学期末测试卷01-《期末真题分类汇编》(人教B版2019必修三+必修四)
名校
4 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24817ce5aa8871db090f928aa96ecbfa.png)
在区间
上单调递增,且关于点
中心对称,关于直线
轴对称.
(1)求函数
的解析式;
(2)若对任意的
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24817ce5aa8871db090f928aa96ecbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fdbde00b8b4a299a3e104c217163b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862353a579b6e50f4156dabd132bd92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e063b9dfcdc6936b00c6bd57f82f1f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8973254e0eeb29a0add0e4677ce5337b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33462e78ac68cc362f8a8425c2c627c.png)
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5 . 已知函数
(其中
,
).
(1)求它的定义域;
(2)求它的单调区间;
(3)判断它的奇偶性;
(4)判断它的周期性,如果是周期函数,求出它的最小正周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64580ddd4451df005cbd072c5bac6ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求它的定义域;
(2)求它的单调区间;
(3)判断它的奇偶性;
(4)判断它的周期性,如果是周期函数,求出它的最小正周期.
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6 . 已知直线
是函数
的图象的一条对称轴,且
在
上单调递增.
的值和
的单调递增区间;
(2)在上面网格纸中作出
在
上的大致图象;
(3)将函数
的图象的横坐标缩短为原来的
,再向右平移
个单位长度后,得到函数
的图象,求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3905b218de4c9a10ea2da09ca52cbba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639dfa88d750406b0e1348061b73c1a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
(2)在上面网格纸中作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2527849ec541f36bc94ec4452086573c.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86135bd40536042536c1c7bed21d0171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86135bd40536042536c1c7bed21d0171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f86a85f5df6107871da50effa21ded.png)
您最近一年使用:0次
2024-05-06更新
|
114次组卷
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3卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
7 . 函数
的部分图像如图所示.
的解析式;
(2)函数
的图像与直线
恰有三个公共点,记三个公共点的横坐标分别为
且
,求
的值
(3)函数
,对
,是否存在唯一实数
,使得
成立,若存在,求
范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8958a4b164d0c948463dbe9493f3b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00368211276ca8bda606eed899e10a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a5ff72ba4e9d01ecf0c0fe07a48058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223d84596c6ac8590c6d8040cd1117cc.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d1a9ae1879a6e0a877f5419816f23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a6035f5c7c7e868d869de2e430487d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c369dd8e64a5838ddd17993bea5510be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e1ce7071be0743ded4a087fd908eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6f3878d070793e59aca4ea04bc7721.png)
在区间
上的最大值为3.
(1)求A的值并解不等式
;
(2)将函数
图象上所有的点向下平移1个单位长度,再向右平移
个单位长度,得到函数
的图象,若
,且
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6f3878d070793e59aca4ea04bc7721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37c35a8ae5caef9c99712e789cd3c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e202311386b920f5b269ae0fda0c4fe.png)
(1)求A的值并解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01809470db997330f904486a4078cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b312036dd843e9ee62d08bfd14936f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebb6b1d1bda9fc97bd8860513dbccc2.png)
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9 . 已知函数
的图象经过
,
,且
的最小值是
.
(1)求
的单调递减区间;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f0f53ce838871f4ba8fb56a945cf75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4934f22907fdb7539b81908cdaaad32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ac2dfd3d9e8fa534775fd633ec0362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
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解题方法
10 . 已知
为第二象限角,且
.
(1)求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb4bfd4eed2da72d39ad96f9e07d74f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6d40b291aaf2b34c3f616bebfe7098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fee7e2969987222954a10a03d200c03.png)
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