名校
1 . 已知函数
,若存在实数
,
,
,
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66e6b37ee48304784041d61c584ceab.png)
,其中
,则
的取值的范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23347286f7a595e1f14c1635f7bd4263.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/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66e6b37ee48304784041d61c584ceab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4b20996ac32b866cdc7ffa410460a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8d2cde628b9fc745ccba9dcafc0738.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
真题
名校
2 . 集合
则实数a的取值
范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b26cb5b5122ddaeb8603f43d1ebb52.png)
范围是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2016-11-30更新
|
2426次组卷
|
18卷引用:2015届湖北省浠水实验高中高三上学期期中考试文科数学试卷
(已下线)2015届湖北省浠水实验高中高三上学期期中考试文科数学试卷2017届湖北省沙市中学高三上学期第二次考试理科数学卷2010年高考天津(文科)数学试题(已下线)2011届江西省上高二中高三第一次月考理科数学卷(已下线)2014届人教版高考数学文科二轮专题复习提分训练11练习卷(已下线)2014年高考数学考前复习冲刺穿插滚动练习(六)(已下线)2014届天津市天津一中高三上学期第二次月考文科数学试卷2016届黑龙江省齐齐哈尔市实验中学高三上期中理科数学试卷2016届黑龙江省齐齐哈尔市实验中学高三上期中文科数学试卷陕西省安康市石泉县江南高级中学北师大版高一数学必修一第一章《集合》章节检测题智能测评与辅导[理]-集合的概念与运算四川省棠湖中学2019-2020学年高二上学期开学考试数学(理)试题四川省棠湖中学2019-2020学年高二上学期开学考试数学(文)试题江苏省宿迁市沭阳县2019-2020学年高一上学期期中数学试题贵州省毕节市实验高级中学2020-2021学年高一上学期第一次月考数学试题河南省驻马店市正阳县高级中学2020-2021学年高三预测数学(理)试题沪教版(2020) 必修第一册 领航者 一课一练 第2章 2.2 第6课时 含绝对值不等式的求解(已下线)1.1集合-2
3 . 设函数
(
为实数).
(1)当
时,求方程
的实数解;
(2)当
时,
(ⅰ)存在
使不等式
成立,求
的范围;
(ⅱ)设函数
若对任意的
总存在
使
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfec82430f90439beeed7fb83f3c4794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a0b72d532ad252960d5549e56eb4b8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
(ⅰ)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af2f597ea3f4dcfb89acb19a4ea6355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d031f5c54cdf893249eb65408ff86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(ⅱ)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30cd2bfebaa1c02fd19c5ec758c2439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f191752b54cce7b56471e36d0e3eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41df86701dbe222da20fc1c45f19cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f5020d133f458912dc3da22b8127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
4 . 已知函数
,函数
.
(1)若函数
有唯一零点,求
;
(2)若
,不等式
在
上恒成立,求
的取值范围;
(3)已知
,若函数
在区间
内有且只有一个零点,试确定实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf67bb02ba0f202b6c2f4261b69043e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3adf7ad2578801c76836c898d25becf6.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa3a352cc73220f07e5b7e9fc72ded1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0097b2a40fd339906bb03607246d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fe2115d883d13561e28006d3f6143b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0835aeffd529ecec100c50304f9179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-09-23更新
|
280次组卷
|
3卷引用:湖北省云学新高考联盟学校2022-2023学年高二上学期9月月考数学试题
湖北省云学新高考联盟学校2022-2023学年高二上学期9月月考数学试题黑龙江省绥化市第二中学2022-2023学年高三上学期第一次月考数学试题(已下线)第五章 函数应用(B卷·能力提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(北师大版2019必修第一册)
名校
解题方法
5 . 已知
为定义在
上且周期为5的函数,当
时,
.则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f423993ffbd13fcbe7b2768ff64c37f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62c784b8f8cbf813b5b65045d2ff8d0.png)
A.![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2021-01-29更新
|
972次组卷
|
3卷引用:湖北省荆州中学2022-2023学年高一上学期期末数学试题
名校
6 . 如图所示,将一块直角三角形木板
置于平面直角坐标系中,已知
,点
是三角形木板内一点,现因三角形木板中阴影部分受到损坏,要把损坏部分锯掉,可用经过点
的任一直线
将三角形木板锯成
.设直线
的斜率为
.
![](https://img.xkw.com/dksih/QBM/2017/9/13/1773078348070912/1774098948423680/STEM/503f3c61625043379278d9c666ef7043.png?resizew=172)
(Ⅰ)求点
的坐标及直线
的斜率
的范围;
(Ⅱ)令
的面积为
,试求出
的取值范围;
(Ⅲ)令(Ⅱ)中
的取值范围为集合
,若
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc83f34b5a3c1dc09d990ce4bdc8e078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0ebb89b7d83c0a4d1104e0107530d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5f75b19aa58ff52f47217a6882505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://img.xkw.com/dksih/QBM/2017/9/13/1773078348070912/1774098948423680/STEM/503f3c61625043379278d9c666ef7043.png?resizew=172)
(Ⅰ)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(Ⅲ)令(Ⅱ)中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be75fb2da563f2174921ef038acae85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839769901ce89e982e0ae7e836edee1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-09-14更新
|
2026次组卷
|
2卷引用:湖北省襄阳市第四中学2017-2018学年高二上学期第一次月考数学试题
7 . 对于在区间
上有意义的两个函数
与
,如果对任意的
,均有
,则称
与
在
上是接近的,否则称
与
在
上是非接近的.现在有两个函数
与
,现给定区间
.
(1)若
,判断
与
是否在给定区间上接近;
(2)若
与
在给定区间
上都有意义,求
的取值的集合
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(3)在(2)的条件下,是否存在
,使得
与
在给定区间
上是接近的;若存在,求
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5aff60e0e18dec5ddfa15bd1d91958e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0597404b9110a0e25b644c9e51aabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d220d623c5e1f0be00b173ba524dfba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a9ca12b588bb208de5e7da200c7272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d9b91bab8bc82f119216cc743c8dbb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3129ddd2ea97fd010b9e0b644225da8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d9b91bab8bc82f119216cc743c8dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(3)在(2)的条件下,是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f1ecfcbe90dca8dc8f3aa7ebaccfb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d9b91bab8bc82f119216cc743c8dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
8 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)对于函数
,若
,
,
,
,
,
为某一三角形的三边长,则称
为“可构造三角形函数”,已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8448fbfa60e97f53e28122d84d8efa2d.png)
是“可构造三角形函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fbd668d9bee284aa0bc0b48c9114b42.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf0f2d083b8f2faa1626d1626dea127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f276b82d4e984675615cc27f9a764cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b9b582f8426f1269b54ee910b97f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49570402aa09e78a4b821c60e2e6881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8448fbfa60e97f53e28122d84d8efa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
9 . 已知函数
.
(1)求不等式
的解集;
(2)函数
,若存在
,使得
成立,求实数
的取值范围;
(3)已知函数
在区间
单调递减.试判断
是否恒成立,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1522396d9ddea1bb3b54dc9f4df4dc.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19af638390206a14da251a2d485efb98.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d351b199bdf658ba647c7c410294e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45745b3b43bcc8c406bac90ce9bcf3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d676c13cd09b56e0edbb741cc77a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fdaafef6af34f4d5c95f3b398b642.png)
您最近一年使用:0次
2023-12-14更新
|
769次组卷
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6卷引用:湖北省襄阳市第五中学2023-2024学年高一上学期12月月考数学试题
湖北省襄阳市第五中学2023-2024学年高一上学期12月月考数学试题湖北省恩施州巴东县第一高级中学2023-2024学年高二上学期第五次月考数学试题(已下线)高一数学上学期阶段性考试(12月)-【巅峰课堂】期中期末复习讲练测广东省惠州市第一中学2023-2024学年高一上学期12月阶段考试数学试题(已下线)高一数学期末考试模拟试卷1-【巅峰课堂】热点题型归纳与培优练安徽省宿州市泗县第一中学2023-2024学年高一下学期开学适应性训练数学试题
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10 . 设常数
,函数
,若方程
有三个不相等的实数根
,
,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b764ef14e957191f858105eeb8c9715f.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/16b5f36cbdb64b34f98763993dc0e972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
A.![]() | B.![]() |
C.![]() ![]() | D.不等式![]() ![]() |
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3卷引用:湖北省部分学校2023-2024学年高一上学期期末数学试题