名校
1 . 若全集
,
,
,则集合
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282e995abdf2a7a0be290f9538359968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61742f3af9e4db2d72b3444ec9103cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122e0accc8f958a46206cc52d5fadb5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff596851ba1e08ca9ec34b2aaf3a3936.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 一种放射性元素,最初质量为
,按每年
衰减.
(1)写出
年后这种放射性元素质量
与
之间的函数关系式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)求这种放射性元素的半衰期(放射性物质的质量衰减为原来的一半所需要的时间)精确到0.1年,已知(
,
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a445efeeb0babc4482dd84fc85902122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f733b1ceeead9ff892539d46a23f3626.png)
(1)写出
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)求这种放射性元素的半衰期(放射性物质的质量衰减为原来的一半所需要的时间)精确到0.1年,已知(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef38333a8d730eb8ff4fc2918d08009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969bc5fe09704581f4294ff41c54d303.png)
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3 . (1)若函数
的定义域为
,求实数
的取值范围.
(2)若函数
的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611b9c4cec1fd99028b89367160d1bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c28a90c0b7a3b7f3585fae4837120c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知函数
.
(1)当
,求函数
的值域;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c50706943506cb0ad76a58c11e64dbe.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
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5 . 已知函数
与
的图象关于
轴对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9efb24d256f24377f10d526fd7744f9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246de316aacce5e2a1b482840ff02f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9efb24d256f24377f10d526fd7744f9.png)
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解题方法
6 . 已知定义在
上的偶函数
在
上单调递增,若
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b66afd9651d95bd401292d62815969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知函数
,则下列有关函数
的说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1e427cac4cdeace4b0d8ed85b45b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.最小值为![]() | B.定义域为![]() |
C.单调递增区间为![]() | D.单调递增区间为![]() |
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名校
8 . 已知函数
的定义域为
,且
,函数
在区间
内的所有零点为
,若
,则实数
的取值范围是__________ .(
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d65bdc820ab87b9a7909d2be591abec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfef99fa3a5e300cbb873eefcdbed087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5508670d9a6a70b58762ea2e52cac15e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1385e46e79bc8d3ccc8162791f91f7c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc4234ac12b709d0bbe6ad8273a3268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1750049ccc505b6cb7ac2582768dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c831193601cdacf19793d32b701d6a.png)
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名校
解题方法
9 . 已知函数
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/2cac1cc15bba8e3b91e0fc7ca8f9e47f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02967a818bd6f2ecb892501741c95bf4.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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2024-02-10更新
|
419次组卷
|
5卷引用:安徽省安庆市第九中学2024届高三上学期12月月考数学试题
安徽省安庆市第九中学2024届高三上学期12月月考数学试题吉林省通化市梅河口市第五中学2024届高三下学期开学考试数学试题(已下线)3.2.2函数奇偶性(已下线)第四套 最新模拟复盘卷四川省内江市第三中学2024届高三第一次适应性考试数学(理科)试卷
名校
解题方法
10 . 已知函数
,
(1)试判断函数
的单调性(无需证明),若
在
上的最小值为
,求
的值;
(2)证明:函数
有且仅有一个零点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e8ff16519737608d6472e386c7e725.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f88173ef0c29bedd0155b7893d2474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a86a862049692de6983296484e04289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1614757b8cdb52de43bb13091ec22b0.png)
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