名校
1 . 设函数
(A,
,
是常数,
,
).若
在区间
上具有单调性,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb935734bfd51c3338f223934a668e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9128b740cf080a0606ca11b4e64994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
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2023-03-17更新
|
492次组卷
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2卷引用:天津市滨海新区大港第一中学2023-2024学年高三上学期第一次月考数学试题
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解题方法
2 . 设函数
,已知
在
上有且仅有3个极值点,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11531d406e24da8f7f179c6bbd273596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2022-11-23更新
|
451次组卷
|
2卷引用:天津市耀华中学2022-2023学年高三上学期第二次月考数学试题
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3 . 函数
的部分图象如图所示,则函数
解析式为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd81ef9a8e35f599733d9a9d512c8332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/495a9a6c-6c35-45c3-bd29-c825785a767a.png?resizew=151)
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4 . 已知函数
(
,
)满足:
①
的图象关于直线
对称;②
;③
在
上不单调.
若
在
有两个零点,则实数a的范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f079822740a43def4c00aca26b0607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f72af1b2a5ddefdc25612b2a673979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b6ff5a2a13d8bf1aceeda508c2114c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e60b49815c5c25b48e6c74d7077851a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a608cd1b61d8403b9911e7b5172aba7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b87bf6a301c88f4739f0bd942cef41d.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a08d7783acb4f5689a512e3b958ae63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
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5 . 给出下列命题:
(1)函数
的图象关于点
对称;
(2)函数
在区间
内是增函数;
(3)函数
是偶函数;
(4)存在实数
,使
;
(5)如果函数
的图象关于点
中心对称,那么
的最小值为
.
其中正确的命题的序号是___________ .
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adba489f3ca3f51ae421a35f67e74414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dcc3b6830eee4a110f42fba9b9d715.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc3a9b99237e39c0a938ba7c727564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d795f99d8a056f6fc8f4658ac9718554.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c532c58f6f05d0cd97638970100661c.png)
(4)存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf289048e6b06db4d87078effdee02d.png)
(5)如果函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352eac5ada4670cedf3b67ac900f2268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf7f5ced4bea4dc33bf5ce1db780477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d061d17bbc13e2d61a0c4aee0cb9ced3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
其中正确的命题的序号是
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6 . 设函数
对任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
均满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae75304062219d4e8df91047fe6e6fa6.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de397f5d886b06f719b6ae246019a16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9633cd8dd12dd6abf50f8b738f071aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d88a41a8c39757a1bbcc8ae9052c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae75304062219d4e8df91047fe6e6fa6.png)
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2019-05-18更新
|
522次组卷
|
3卷引用:天津市南开中学2023届高三上学期统练2数学试题
天津市南开中学2023届高三上学期统练2数学试题【全国百强校】江西省上饶市玉山县第一中学2018-2019高一下学期期中考试数学(理)试题(已下线)狂刷17 三角函数的综合应用-学易试题君之小题狂刷2020年高考数学(理)
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7 . 已知函数
,
,若函数
在区间
内单调递增,且函数
的图象关于直线
对称,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b402daf5bc6413aad1cebe3cf164fa4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51efbf665ba66dc9de81386e82458f19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c13a09123ae873e0b0501aaecc507e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3368e4289f5e3126d37b8dd865946992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c13a09123ae873e0b0501aaecc507e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a26a4a80024d38b7b7b319cc01ef92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ae7a3df05116669c0ecdcf4736dad1.png)
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2019-03-30更新
|
471次组卷
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3卷引用:【全国百强校】天津市南开中学2018-2019学年高三(下)第四次月考数学试题(理科)(2月份)
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8 . 已知函数
的图像过点
,且在
上单调,同时
的图像向左平移
个单位长度后与原来的图像重合,当
,且
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd78b7cb1f5cfdd36c44f7e1b86b72b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e212836c266fee831058c76d4dfba7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccbad1e93ee1689b0ba5cc285db79c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261fc0de2b07cbca849057a95ae82d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1fc04fb5d46e0b802ab18e416dc111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd78b7cb1f5cfdd36c44f7e1b86b72b.png)
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9 . 函数
的最大值与最小值之和等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cf1ff1721c06c3f5f2685f8a9cc3c4.png)
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2019-01-21更新
|
558次组卷
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5卷引用:【区级联考】天津市南开区2018-2019学年高一上学期期末考试试题数学试题
10 . 函数f(x)=
+
+k,在[0,2π]有且仅有两个零点,求k的取值范围________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0cecd8e7ce644267a8e0122521fdf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfaf3820949ab93fb91d9da47a5e5f9.png)
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