解题方法
1 . 已知函数
是定义在
上的偶函数.
(1)求实数
的值;
(2)请问是否存在正数
,使得当
时,函数
的值域为
,若存在这样的正数
,请求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20702169dacaf00486c2f69c0abb47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)请问是否存在正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a56806c9bf7927769af420fdabe96cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119b20f27ee885c82edf447d24cc0cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
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2 . 若函数
在区间
上的最大值为
,最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b36420641c5a8cc67975fc24152533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f041e45e00b71ff9773d2412e5de2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.png)
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解题方法
3 . 若函数
,则关于
的不等式
的解集是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3a09fdef101ca91c2fecf1d18e1f04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccfc8a9ede4f980adb8f52d376eb646.png)
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解题方法
4 . 已知集合
,
.
(1)若
,求
;
(2)求实数
的取值范围,使
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe8b80f6cc286de2f89a89227a139cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fbb98832b8ab50dc4bcbc327a086a5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354ba538d9b1102e66f631729eecbafd.png)
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5 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f451719a2b40e2ed1244c830494cf28.png)
_________________ .(用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3944cbd5cdb6a81c652fc281733184f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949bc822a2afe033af42e74417b7724b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f451719a2b40e2ed1244c830494cf28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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6 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efab41d9662cca99ed0b3b8341ec0bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3b27f1bc9c6b9d44b288d8195dd551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b1269f770f0d6ce3c15be0cd5f963a5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 计算下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd39bf6ef245682c9a60042294d5721.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c4ccd346562138dc660d807276b87e.png)
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解题方法
8 . 已知
为函数
的两个不相同的零点,则下列式子一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39ad04a78e7320dfb3c2580038cff38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b8a36eaf6023edc7dfca869ca3a2ab.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-24更新
|
737次组卷
|
2卷引用:云南省三校联考2023-2024学年高一下学期第一次月考数学试题
解题方法
9 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70faf1820a1981b9a34a4e25f9527d1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知函数
.
(1)若不等式
对任意
恒成立,求整数
的最大值;
(2)若函数
,将函数
的图象上各点的横坐标缩短到原来的
倍(纵坐标不变),再向右平移
个单位,得到函数
的图象,求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2944a3b3241a68ec7d2b7b118dc0192.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1a5e852e1c24c14b46a70ae4f43c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa1e39edae569f7aeb42f136eeb7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0f41fc23f76edfe420b2d9976be9c0.png)
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