解题方法
1 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ed8bad5c9eb7d92135bfe4b4241678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30300e77cf77824935ac73047a952f4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 下列命题正确的是( )
A.函数![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
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3 . 已知
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c461d76fce244455f2a06b866f8ba500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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4 . 某地有一片长期被污染水域,经过治理后生态环境得到恢复,在此水域中生活的鱼类数量可以采用阻滞增长模型
进行预测,其中
为
年后的鱼类数量,
为自然增长率,
(单位:万条)为饱和量,
(单位:万条)为初始值.已知2022年底该水域的鱼类数量为20万条,以此为初始值,若自然增长率为
,饱和量为1600万条,那么预计2032年底该水域的鱼类数量约为(参考数据
)( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a31d22b671669fb67fb97c7858896c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a22953b66e5f4a0337d22162a24b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5169c7b7cd4dd17edd58e7ed7a19396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b1aee3de74239b7e16272eb2a696bd.png)
A.68万条 | B.72万条 | C.77万条 | D.83万条 |
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名校
5 . 已知函数
,
,且
在
上单调递增
(1)若
恒成立,求
的值;
(2)在(1)的条件下,若当
时,总有
使得
,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b418ba4ab8c76e2ef62a1dc2a76643e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81989863e06341529f98f5fc542d220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ea52d222cd4e4a3ce1dd331adb22f3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d182b3c67471c4c6882ea9d718e029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)在(1)的条件下,若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e7d2fa48f923bb95d2dd7c7c19ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb70e0290f52259d123002f5e69ec26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-02-21更新
|
939次组卷
|
6卷引用:海南省2022-2023学年高一下学期学业水平诊断(一)数学试题
解题方法
6 . 已知函数
是奇函数.
(1)求实数
的值;
(2)判断函数
的单调性,并用函数单调性的定义证明;
(3)若对于任意
都有
恒成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9f333cee2ccb2b215d93011a162f7a.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a0c90badd6535d96b7cfb4cda5615a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 某地大力推广新能源汽车,购买传统汽车的人越来越少.已知今年该地传统汽车销量为
万辆,预计从明年开始,每年传统汽车的销量占上一年销量的比例均为
,5年后传统汽车年销量恰好减少为
万辆.
(1)求
的值;
(2)已知今年该地新能源汽车销量为
万辆,从明年开始,每年新能源汽车销量比上一年增加
万辆,请你预计10年后该地新能源汽车的年销量能否超过传统汽车的年销量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70444e3a66d1068038c5b5a77c7954aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e345e2923985e9539dc4f99d1e82fadb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576833b76e9cad3b523f87132308df99.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知今年该地新能源汽车销量为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b9232b777a930a8198c97b03a7d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e254c3d9b7b299274bf8424535c5a5.png)
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8 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
有两个零点
,
,且
,求
的值;
(2)已知函数
,若命题“
,
”为假命题,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873313149869a59c7b353467be3109cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](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/593d8a9adaca4f57dbc8bb0c07beff63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46449e1204f706afea0dab44a7c53f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5620be0e62a15b2ba5b1124b14d3ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
9 . 已知角
的顶点在坐标原点,始边与
轴正半轴重合,终边经过点
.
(1)求
,
的值;
(2)若
,且
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed51623f4856b7f8166db54783b9491.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2894710ad17e08f1b98760e66bf02c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a335abba93abcbd8754d364fc5311de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8114e78ac5798c981a09a8d282875f99.png)
您最近一年使用:0次
2023-02-21更新
|
295次组卷
|
2卷引用:海南省2022-2023学年高一下学期学业水平诊断(一)数学试题
10 . (1)计算:
;
(2)已知
,
,且
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2188a465088c90fc24a66b233f67248.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c0162cffd27ad8ca21c7bc6d907b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18234555c97dfba9e57be4f95fdd706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f00f997ae12c30f551adb834e1d7ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次