解题方法
1 . 在棱长为1的正四面体
中,P为棱
(不包含端点)上一动点,过点P作平面
,使
,
与此正四面体的其他棱分别交于E,F两点,设
,则
的面积S随x变化的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/398a7cdc39e756d8f7f7ee1185579b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0924d39475d22d6ce04fbca2bfff2d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b51d3992644d37dc71c9b5a97d515c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2 . 定义在
上的函数
满足
为偶函数,
为奇函数,且当
时,
.当
时,函数
与
图象的交点个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08869ffa8b997472fbc4deee60ae0d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4eccc8b4cef84da4388fc696fef97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8898d891410dd22bff5d1d2a3cf340e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-06-07更新
|
256次组卷
|
2卷引用:2024届河北省保定市九县一中三模联考数学试题
3 . 已知正实数
,
满足
,则下列不等式可能成立的有( )
![](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/6b16ceae23938d0d9b77f31f54d9ea1c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知正实数
满足
,
,
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bddb9c1cf2a4d83c78d56b2bb1c097a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3153835ac806a9817bfd3fdac91ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6283af1a2165e1554b71fce01054073a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 设
,对任意的实数
,记函数
(
表示
中的较小者).若方程
恰有5个不同的实根,则满足题意的条件可能为___________ .(填写所有符合题意的条件的序号)
①
;
②
或
;
③
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911fc7eab7f260fe061957ee9b548fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0898d7174604fa223558cb25b4c78b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e133bf93b2fe08afaa8f96ce919de0f6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fbe82295863faba6876c7b13d05ddb.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26492a3f9e0ea6f661d177330b83de72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d86b4ad722d7b720603eba9d330fd1.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad03d15ddcafb8abe3b8ac0520a88053.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe3d09f0ec653a57568fbd7ed5fc585.png)
您最近一年使用:0次
2024-04-24更新
|
295次组卷
|
2卷引用:陕西省安康市高新中学、安康中学高新分校2023-2024学年高三阶段性测试(八)理科数学试题
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c99755c944cadc436ced7003315b1eb.png)
,
,若关于
的方程
有6个解,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c99755c944cadc436ced7003315b1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59ffba0b10365115afef5ba4de09df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a838563e261d477d23a2b8891e8fc406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-03-21更新
|
642次组卷
|
3卷引用:河南省新乡市2024届高三第二次模拟考试数学试题
解题方法
7 . 对于函数
和
,及区间
,若存在实数
,使得
对任意
恒成立,则称
在区间
上“优于”
.有以下四个结论:
①
在区间
上“优于”
;
②
在区间
上“优于”
;
③
在区间
上“优于”
;
④若
在区间
上“优于”
,则
.
其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceee0ff5c929d67de3c294e027c9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a7afcf760aa4aff404eae3ad47afac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e0827073b9db1fe6cc638ec404feba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b5326ab91681de1317ab6517baa7e5.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd57ea26ad54a7381754ade671ef1ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ecd9b82656fa92f59cc80c8938e12f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4351bd617a7516709fbfdf31dc993c7.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf266c400ec9f20afcdb1c76a62c6c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334919736e5ed881f691e4ca738b4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd685585c6c06d17688ae9abbea26ef1.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea1662df10f518728945bffd08a0bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdad8acb5f4d31bfee990bf844b1a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
其中正确的有( )
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
名校
8 . 已知函数
,若关于
的不等式
恰有一个整数解,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0de492f6946d6850fac11f18203e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a20b189cbfa7b17ef212966f441ec27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-14更新
|
257次组卷
|
2卷引用:河南省漯河市2024届高三上学期期末质量监测数学试题
9 . 水星是离太阳最近的行星,在地球上较难观测到.当地球和水星连线与地球和太阳连线的夹角达到最大时,称水星东(西)大距,这是观测水星的最佳时机(如图1).将行星的公转视为匀速圆周运动,则研究水星大距类似如下问题:在平面直角坐标系中,点A,
分别在以坐标原点
为圆心,半径分别为1,3的圆上沿逆时针方向做匀速圆周运动,角速度分别为
,
.当
达到最大时,称A位于
的“大距点”.如图2,初始时刻A位于
,
位于以
为始边的角
的终边上.
,当A第一次位于
的“大距点”时,A的坐标为______ ;
(2)在
内,A位于
的“大距点”的次数最多有______ 次
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3551176fd3003244122a34612d90113c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c896216c135b8c568a5f0987c23947e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f9341d51c827a29a4a0b0b3dded16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c7f579d5017888a314d681fe44db8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590e165e407098fcac9f871beb047dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf01af951cc03381ca19150c6fe5364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
解题方法
10 . 定义在实数集
上的奇函数
满足
,且当
时,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
A.函数![]() | B.函数![]() ![]() |
C.函数![]() ![]() | D.方程![]() |
您最近一年使用:0次
2024-02-13更新
|
450次组卷
|
2卷引用:重庆市缙云教育联盟2024届高三下学期第二次诊断性检测数学试题