名校
解题方法
1 . 若函数
,则
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe24a599e08d91964d4b8ce7f673dd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2833d2f893a51161297f6749d5766fff.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 若函数
对任意实数
,
都有
,则称其为“保积函数”.现有一“保积函数”
满足
,且当
时,
.
(1)判断“保积函数”
的奇偶性;
(2)若“保积函数”
在区间
上总有
成立,试证明
在区间
上单调递增;
(3)在(2)成立的条件下,若
,求
,
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97b02cc48dab7860567b6c7762b2e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40aa8429b2b7d252700f2813c259592d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216596e85d5b13220fa0c326948f05d1.png)
(1)判断“保积函数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若“保积函数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)在(2)成立的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896df31f80127adbae738b3a014bd4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1a7019c44757feab4fc0b40db8d3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966cc43fa3220739f2d2e091fe4b30f4.png)
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3 . 已知函数
,若
互不相等,且
,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3785e7736e521518808d120f435a9d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f0c5c26cab2488bd50df88d5e5d760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bb99e2251df1777c5288d603170bd2.png)
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名校
解题方法
4 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbf868c3882e1e1356382a585d1f147.png)
(ⅰ)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b15c98b9b139d1e174f4f7c8ba47fee.png)
______ ;
(ⅱ)若存在实数
,
,
,
满足
,且
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbf868c3882e1e1356382a585d1f147.png)
(ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b15c98b9b139d1e174f4f7c8ba47fee.png)
(ⅱ)若存在实数
![](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/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714f1eb0e74a1a31fa2c35275d368e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404fcd864d60eeaf40c3c713797bfb90.png)
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2024-01-18更新
|
352次组卷
|
2卷引用:云南省下关第一中学教育集团2023-2024学年高一下学期段考(二)(6月)数学试题
23-24高一上·云南楚雄·期末
5 . 已知函数
在
上为单调函数,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a8735d0ad5d13f2d99d104a518dfe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390c620c0fd4a2cd8622171bdaf05f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-17更新
|
335次组卷
|
3卷引用:云南省楚雄州2023-2024学年高一上学期期末教育学业质量监测数学试卷
(已下线)云南省楚雄州2023-2024学年高一上学期期末教育学业质量监测数学试卷辽宁省县级重点高中协作体2024届高三上学期期末数学试题贵州省黔东南州2023-2024学年高一上学期期末检测数学试题
解题方法
6 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db325598af58a168068fe10e38d525d.png)
A.函数![]() ![]() | B.函数![]() |
C.函数![]() ![]() | D.不等式![]() ![]() |
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名校
解题方法
7 . 设
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6737fc1f66f95169716e58a1c17a34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-15更新
|
425次组卷
|
2卷引用:云南省昆明市官渡区2023-2024学年高一上学期1月期末数学试题
名校
解题方法
8 . 酒驾是严重危害交通安全的违法行为,为了保障安全,根据国家规定,驾驶人员每100毫升血液酒精含量大于或等于20毫克,并每100毫升血液酒精含量小于80毫克为饮酒后驾车;每100毫升血液酒精含量大于或等于80毫克为醉酒驾车.某驾驶员喝了一定量的酒后,其血液中酒精含量上升到了每毫升血液含酒精0.8毫克,如果停止饮酒后,他的血液中的酒精会以每小时
的速度减少,那么他想要驾车至少要经过(参考数据:
,
)( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ab5c1b86983380e75e0d12ddc92705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b58ebe6148d43fb701a23e039438c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8288e1d872c6b5872b84a32469ff9e76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-14更新
|
663次组卷
|
3卷引用:云南省昆明市云南师大附中2023-2024学年高一上学期教学测评期末数学试题
9 . 化学中会用
值来判断溶液的酸碱度,
值是溶液中氢离子浓度的负常用对数值,若设某溶液所含氢离子浓度为
,可得
,则以下说法正确的是( )(参考数据
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1066e53bf79a3cdff7ec2934bd09e272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1066e53bf79a3cdff7ec2934bd09e272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0c93c4ff699c1d86aea493f25eb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5827513141a68f5e5f83486d7e796270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210da5653b0cf98863ff54b341eb7019.png)
A.若氢离子浓度扩大为原来的10倍,则![]() |
B.若氢离子浓度扩大为原来的10倍,则![]() |
C.若氢离子浓度扩大为原来的4倍,则![]() |
D.若氢离子浓度扩大为原来的4倍,则![]() |
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解题方法
10 . 已知
是定义在
上的奇函数,且当
时,
.
(1)求
的解析式;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689f1331ce48b4ad7cebb9958179b652.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158dd3cadbe41b494f341cc92b9b93ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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