名校
解题方法
1 . 已知函数
是偶函数,且当
时,
(
,且
).
(1)求当
时
的解析式;
(2)在①
在
上单调递增;②在区间
上恒有
这两个条件中任选一个补充到本题中,求
的取值范围.(注:如果选择多个条件分别解答,则按第一个解答计分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2447ee0f6019611718f435198482255e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2cbbf4d5b8ecbfccc5de39781396d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c570bf2a0df3b766f9ce9d00807ec0.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
是奇函数,且过点
.
(1)求实数m和a的值;
(2)设
,是否存在正实数t,使关于x的不等式
对
恒成立,若存在,求出t的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1526c93dd57cc356c851a509338a4bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efca7f1ccd15925cbebb35dd734981a4.png)
(1)求实数m和a的值;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd82868cd08da1d0713054d2f12a7bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a2c01ac2a7f6ad7e03cb7a61daefab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d70d569a3097d652355520910380ea.png)
您最近一年使用:0次
2023-12-27更新
|
510次组卷
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3卷引用:湖北省重点高中智学联盟2023-2024学年高一上学期12月联考数学试题
名校
3 . 已知函数
.
(1)求
的定义域;
(2)若函数
在
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89b9407387ba8666ee2ff52c899d8fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef2b7bc9b4b7e3e77002bea81505aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
4 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
时,求函数
的单调区间;
(2)若函数在
内为增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c23a181a8308c0215a09ef2925abb05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da331b83b4d66da80cc3c4fdc38eabfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
5 . 已知函数
,其中
且
.
(1)若
,
,求不等式
的解集;
(2)若
,
,求b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78357a4692ab7d75157333f49a62439b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d03b9867f112114f33627d8c28600a8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b713856f459dcb717f4e5be71b022e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c5be1c986ef462966026705615ddb66.png)
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2023-12-23更新
|
317次组卷
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4卷引用:贵州省六盘水市2023-2024学年高一上学期12月月考数学试题
名校
6 . 已知实数
且
,函数
.
(1)设函数
,若
在
上恰有两个零点,求
的取值范围;
(2)设函数
,若
在
上单调递增,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e61e35546276b60bd1c2d920b7f1d66.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68072473a5106f93e3026d992859f7a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ed49839c4dc0b033431d88a4c1f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b87e941c5f2a1b1c7fbd6399b011ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-20更新
|
330次组卷
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3卷引用:浙江省丽水市发展共同体2023-2024学年高一上学期12月联考数学试题
浙江省丽水市发展共同体2023-2024学年高一上学期12月联考数学试题(已下线)专题17函数的应用-【倍速学习法】(人教A版2019必修第一册)陕西省西安市西安交通大学附属中学2023-2024学年高一上学期1月期末考试数学试题
名校
解题方法
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215c25ba48636d1fa5e328421d34ccb8.png)
(1)当
时,求
的定义域和单调递减区间;
(2)若函数
在
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215c25ba48636d1fa5e328421d34ccb8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)若
,求函数
的值域;
(2)若函数
在
上单调递减,求实数
的取值范围;
(3)若
对于
恒成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d032e2fb2dc4aa95d27f563b32c689b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c418c84d12d3fff9fe6587a852f590b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58427d5aa7deeca47c8789241913f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
的定义域
,且对任意
,当
时,
恒成立,则称
为
上的
函数.
(1)若定义在
上的函数
为减函数,判断
是否为
上的
函数,并说明理由;
(2)若
为
上的
函数,且
,求不等式
的解集;
(3)若
为
上的
函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e132a45de8ed534195ffb18920b6db3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc1bc250c8a6523a1be394ff48d4a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee6ac9863b9f0be7bd5a49a4075468d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)若定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae55a418b4997978c4f0638c1b9f3a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3a80297256a8fa9e579a4fb7fbfa88.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0140f12a6b008fa7042ae682d85f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-12更新
|
191次组卷
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3卷引用:河北省保定市部分高中2023-2024学年高一上学期12月期中考试数学试题
10 . 小颖同学在学习探究活动中,定义了一种运等“
”:对于任意实数a,b,都有
,通过研究发现新运算满足交换律:
.小颖提出了两个猜想:
,
,
,①
;②
.
(1)请你任选其中一个猜想,判断其正确与否,若正确,进行证明;若错误,请说明理由;(注:两个猜想都判断、证明或说明理由,仅按第一解答给分)
(2)设
且
,
,当
时,若函数
在区间
上的值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4235fe8a6cf0446dbf476822b6dbbce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7ff4ffa27279dbf509cfb852446813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525c1a68848e95e6b419e0bbec3c0957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b648347b0e5ed2bdc821dc7cf50d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8d87094a7c50f062fa23902cd23c20.png)
(1)请你任选其中一个猜想,判断其正确与否,若正确,进行证明;若错误,请说明理由;(注:两个猜想都判断、证明或说明理由,仅按第一解答给分)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d386474416a278ca29be6075fa076d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49910fc853928999a0acbcc67f4c295c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733c4ee92975bec9a52b9b2d544d790f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a964eadb835069b591f479b7c67e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-11更新
|
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2卷引用:辽宁省名校联盟2023-2024学年高一上学期12月份联合考试数学试题