1 . 已知不等式
的解集为
,则
的值分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b64b279a78ff470319df27b0103025e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9732d60241ff0c72c928cfefe6c15272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
A.![]() | B.![]() | C.2,3 | D.![]() |
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2 . 不等式
的解集为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699d9ec7ffa40f60d01482fbd28fa07a.png)
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3 . 不等式
的解集是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98014d838ab12a2fda3e7822436e3bb0.png)
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4 . 已知函数
,其导函数为
,下列命题中真命题的序号为________ .
(1)
的严格减区间是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cdbaa4eca3b791c82c71f2d5d68104.png)
(2)
的极小值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b929d327ee21d7b778b4b79d1e0eca43.png)
(3)当
时,对任意的
且
,恒有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dfcd1f6fb35096b0546754337bffcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cdbaa4eca3b791c82c71f2d5d68104.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b929d327ee21d7b778b4b79d1e0eca43.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24505cd5c1d84ecb57404c645ea44c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e0645538895be974ea5aed888299e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd5f68f8223717c5f9e7a35da919f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fb1d8a145512191d73f157dc004fe0.png)
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5 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/a86fa5f6-948b-43df-ba0d-789d64b67039.png?resizew=213)
(1)在所给出的坐标系中画出
的图象;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a7b99954b553ca778cb4690f934d26.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/a86fa5f6-948b-43df-ba0d-789d64b67039.png?resizew=213)
(1)在所给出的坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ece022365a4c9d4a68e16157f3137a.png)
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6 . 已知函数
.
(1)解不等式
;
(2)记函数
的最小值为
,正实数
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e32fe6eea89758fe843a869976d08fd.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857ce2790f14cac8a0cfecc154015237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9048a4655708ea1ff6702b4b5061975a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09824810c009fb0bdbe625fdc0c0ad6.png)
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2023-12-26更新
|
66次组卷
|
2卷引用:青海省西宁市大通县2024届高三上学期期中数学(文)试题
名校
7 . 已知
.
(1)解不等式
.
(2)若
恒成立,求整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83885a8e289d2f6d47ae4c6d65472761.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46324ba9decd3f916f22df90f366588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若关于
的不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f24882c10aaaccd833dd67f6de4674.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff995c873dbe7c2db299f8af9eda1788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f59a84526646f8d6f5fccb3796f654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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解题方法
9 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
的图象与
轴围成的三角形面积为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e2859288b663c4d041c907219ce317.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-20更新
|
134次组卷
|
4卷引用:四川省雅安市雅安市联考2023-2024学年高三上学期期中考试数学(理)试题
解题方法
10 . 设在二维平面上有两个点
,它们之间的距离有一个新的定义为
,这样的距离在数学上称为曼哈顿距离或绝对值距离.在初中时我们学过的两点之间的距离公式是
,这样的距离称为欧几里得距离(简称欧氏距离)或直线距离.
(1)已知
两个点的坐标为
,
,如果它们之间的曼哈顿距离不大于3,那么
的取值范围是多少?
(2)已知
两个点的坐标为
,
,如果它们之间的曼哈顿距离要恒大于2,那么
的取值范围是多少?
(3)若点
在函数
图象上且
,点
的坐标为
,求
的最小值并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773e7e8ebe0a40cac747f803cb241afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88eda79e21c7274b447814bcea5f6d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89cff4086177b23e54ea90cc0ddb06e.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dc2c7849be2c51996056536b668a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e5eea5f7f98ca8632358b7e49ceb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228e67748b557e32e2eac60f9be6c15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ec9c0b2693bcfaed1ef85dd497d747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f109ad046f362d8686c7ef9810c568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7fbae72610f8c074ee2d1e73a41b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c4d93dfc845297d4d5dbd7999eab56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77210ed70f44ca3b28b2803c94c2868d.png)
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