1 . 函数
的对称中心是点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/298fc7b2f8ab987e1338e9a1550f8f06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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2 . 函数
的图象的对称中心为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce4b8220d8d55c11e00319cdc06a7f8.png)
您最近一年使用:0次
3 . 关于函数
有下述四个结论:
①
的极大值为0 ②
有3个零点
③
的图象关于直线
对称 ④
在区间
严格递减
其中所有正确结论的编号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caebe9c9467f556e20ac9979932ca70b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879234adbae93aa72b7e101b3738d4e0.png)
其中所有正确结论的编号为( )
A.①②③ | B.①②④ | C.②③ | D.①③④ |
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解题方法
4 . 如图展示了一个区间
(
是一个给定的正实数)到实数集R的对应过程:区间
中的实数
对应线段
上的点
,如图1;将线段
弯成半圆弧,圆心为
,如图2;再将这个半圆置于直角坐标系中,使得圆心
坐标为
,直径
平行
轴,如图3;在图形变化过程中,图1中线段
的长度对应于图3中的圆弧
的长度,直线
与直线
相交于点
,则与实数
对应的实数就是
,记作
.给出下列命题:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/313061c7-d288-4888-987f-7f43859f1047.png?resizew=508)
(1)
;
(2)函数
是奇函数;
(3)
是定义域上的单调递增函数;
(4)
的图像关于点
对称;
(5)方程
的解是
.
其中正确命题序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54db6c82096015c2fd1cfa62a05fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54db6c82096015c2fd1cfa62a05fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a8588dc60a543ad70d6bc0d263dbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9d87b1d7a593ed9fd10206b87fa59a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df0e576a3d75d66060bbdd1549ba4b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/313061c7-d288-4888-987f-7f43859f1047.png?resizew=508)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f28b00526dcd8edd41600728e14ba3.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df0e576a3d75d66060bbdd1549ba4b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df0e576a3d75d66060bbdd1549ba4b.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df0e576a3d75d66060bbdd1549ba4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26fca47de6a623818ef1f56594de500.png)
(5)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce1b004f97ed12a5cad0bd5ccf7bf09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991c786a9434ba4ac8b1cd223933766c.png)
其中正确命题序号为
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解题方法
5 . 函数
的图象关于( )对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6daf04b107b83441125ef6c1c2a386bc.png)
A.![]() | B.直线![]() | C.坐标原点 | D.直线![]() |
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6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
满足
,若函数
与
图像的交点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f328c7a6a6d8a5fdcba0c6be65026f.png)
________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac200a9106723cd0d4749339ea677e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bcb674ac113c3a773360783e90a72d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e803d9c49f532f1dc1a6820bcde8677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a965a8f9b71b324928182dcf5e5273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f328c7a6a6d8a5fdcba0c6be65026f.png)
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2022-12-06更新
|
580次组卷
|
3卷引用:上海市复兴高级中学2024届高三下学期3月月考数学试题
解题方法
7 . 已知函数
满足:任意给定
,都有
,且任意
,
,
(
),则下列结论正确的题号是___________ .
(1)
;
(2)任意给定
,
;
(3)
;
(4)若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a6e5b8aaed692d8be521e82df5a230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1998f6534cf608ece427d791b7ec189e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12a4eecd249473a831d0ee472470240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf4d6d897e8f18ef725b2850a643cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf9a61f9cd734ca9f489ad9a705e629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e3de74f4c6064bfae2899a82033305.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd20a38c4e5bf068f77ebfe079f26414.png)
(2)任意给定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a6e5b8aaed692d8be521e82df5a230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c04988f111860496ebc68cb3672e85.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a685b5463b9a9f56f8b2321f55737799.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2963b13611f5c9ab822ea9a5618880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0562a991a74f5b8aa71ec8452a28ddd.png)
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2022-10-17更新
|
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|
3卷引用:上海奉贤区致远高级中学2021-2022学年高一上学期12月评估数学试题
名校
解题方法
8 . 若函数
的最大值和最小值分别为M、m﹐则函数
的图像的对称中心是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fa3a897424b50a1d787c5423c9e71b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92bf58ef8b67b8c55bd8cfaa0424f15.png)
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9 . 已知抛物线
上一点
到焦点的距离为4,动直线
交抛物线
于坐标原点O和点A,交抛物线
的准线于点B,若动点P满足
,动点P的轨迹C的方程为
.
(1)求出抛物线
的标准方程;
(2)求动点P的轨迹方程
;
(3)以下给出曲线C的四个方面的性质,请你选择其中的三个方面进行研究:①对称性;②范围;③渐近线;④
时,写出由
确定的函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49cd0e83c4f9a3239084f138107ea1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c61622eb7fa6fabe6bd361bd5aa6107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b343d77ee4dced82ecc479206c42977d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060eededb5d7b200ee55271033c57cdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbbf52d1f9d61b41bdd4acfc9fac268.png)
(1)求出抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)求动点P的轨迹方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbbf52d1f9d61b41bdd4acfc9fac268.png)
(3)以下给出曲线C的四个方面的性质,请你选择其中的三个方面进行研究:①对称性;②范围;③渐近线;④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbbf52d1f9d61b41bdd4acfc9fac268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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解题方法
10 . 已知函数
的定义域为R,则下列命题中:
①若
是偶函数,则函数
的图像关于直线
对称;
②若
,则函数
的图像关于原点对称;
③函数
与函数
的图像关于直线
对称;
④函数
与函数
的图像关于直线
对称.
其中正确的命题序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9762d86b77cdeb1cd38b1f2481707d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25f7a8607acc2e356bc3b0bf63d0b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b8d9335baf572cc19d765fa8b46e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237d28b87278471c3295845cc45321f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0326c8521834089fc9e0a6db113931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237d28b87278471c3295845cc45321f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
其中正确的命题序号是
您最近一年使用:0次
2020-12-16更新
|
588次组卷
|
6卷引用:上海市大同中学2020-2021学年高一上学期期中仿真密卷数学试题
上海市大同中学2020-2021学年高一上学期期中仿真密卷数学试题(已下线)第5章+函数的概念、性质及应用精讲精练-2020-2021学年高一数学期末考试高分直通车(沪教版2020,必修一)(已下线)第5章 函数的概念、性质及应用(A卷·知识通关练)(1)安徽省合肥市第六中学2020-2021学年高一上学期期中数学试题(已下线)知识点04 函数的奇偶性-【提升专练】2021-2022学年高一数学新教材同步学案+课时对点练(苏教版2019必修第一册)(已下线)阶段检测三 (基础过关)函数综合测试 A卷 - 2021-2022学年高一数学同步单元AB卷(人教A版2019必修第一册)