1 . 在平面直角坐标系
中,如图放置的边长为2的正方形
沿
轴滚动(无滑动滚动),点
恰好经过坐标原点,设顶点
的轨迹方程是
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f22fa66bd977256019ab7c42f66ac75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
A.方程![]() ![]() |
B.![]() |
C.![]() ![]() |
D.对任意![]() ![]() |
您最近一年使用:0次
2 . 已知函数
,
.
(1)若
,求
的最小值;
(2)令
,
,若对于定义域内任意的
,
,当
时,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3f58722394cad3df7234b543be4587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa56a9575ef8d1cc2e6c6fc6c97d031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851203a1a52a851f1a33e3777c5464ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80661feb5630831d21c3d7a328c17ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d0949bc80098c2d72aff6763ce6207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
3 . 函数
的零点所在的区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7bc518f0c440ce7f484f8e1679bc17.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-25更新
|
1223次组卷
|
6卷引用:山东省日照市2023-2024学年高一上学期期末校际联合考试数学试题
解题方法
4 . 已知函数
.
(1)当
时,求函数
的零点;
(2)设函数
区间
上有三个不同零点
,
,
,且
,求
的取值范围;
(3)当
时,若在
上存在2023个不同的实数
,
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f212852db563b9c98e05ea479d04faf.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441576bfc78e4f3e3d4a0e74e57d53a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953810dff2d248ff297b614947c0c7c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65eeda81a02f5a3cea4c4092282533d0.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814b57fd42b6bc05b041c24ccd160abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d82e43d4b6d9ede968b77a96e2d6c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3cac074d8313c9a9d73c48a75fefc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15553aa65fe974a9bb5ebea39fea12a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
5 . 已知函数
.
(1)若
,判断并证明
在
上的单调性;
(2)若存在
,使不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04262530a9e4cdddefbc669c96a5c2c1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e5904f8468b553d81e2d95c71c8fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
6 . 函数
的图象称为牛顿三叉戟曲线.若关于x的方程
有3个实根,
,
,
,且
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e15a6cfb434fee548b5a20b84cdeac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-14更新
|
447次组卷
|
3卷引用:山东省日照市五莲县第一中学2024届高三上学期期末模拟数学试题
解题方法
7 . 已知函数
是定义在
上的偶函数,若
,
,且
,都有
成立,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a074019a75a26e8d6b9147731a29a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f86a07d86215e8e3247abfc1a2392b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75960c635baf21eaab4da1971206dbc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 已知定义在R上且不恒为零的函数
,若对于
,
,有
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e1a45942c83122ca8df8993f1b6036.png)
A.函数![]() |
B.对![]() |
C.若![]() ![]() |
D.若当![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-11更新
|
354次组卷
|
2卷引用:山东省日照市第一中学2023-2024学年高一上学期12月月考数学试卷
名校
解题方法
9 . 已知函数
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9b857b81fb7b596445a5f2a276de25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a573eaf44a7bc3fd2c9221f6739d7f13.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-07更新
|
1596次组卷
|
7卷引用:山东省日照市五莲县第一中学2024届高三上学期期中考试数学模拟试题
山东省日照市五莲县第一中学2024届高三上学期期中考试数学模拟试题河南省湘豫名校联考2023-2024学年高三上学期一轮复习诊断考试(二)数学试题山西省太原市山西大学附中2024届高三上学期12月月考(总第七次)数学试题宁夏石嘴山市平罗中学2023-2024学年高一上学期第二次月考数学试题天津市武清区杨村第一中学2023-2024学年高一上学期第三次阶段检测数学试题(已下线)【第三练】4.4.1对数函数的概念+4.4.2对数函数的图象和性质 上好三课,做好三套题,高中数学素养晋级之路(已下线)专题04 灵活运用周期性、单调性、奇偶性、对称性解决函数性质问题(练习)
名校
10 . 已知函数
在
上单调递减,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04134e2b47568aea31511f1d0233e2f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a92ba8b43bebdf7d6c40917f4d3e110.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-09-28更新
|
1464次组卷
|
7卷引用:山东省日照市日照神州天立高级中学2024届高三上学期期中模拟考试1数学试题