解题方法
1 . 某生物研究者于元旦在湖中放入一些凤眼莲,这些凤眼莲在湖中的蔓延速度越来越快,1月底测得凤眼莲的覆盖面积为
月底测得凤眼莲的覆盖面积为
,凤眼莲的覆盖面积
(单位:
)与月份
(单位:月)的关系有两个函数模型:
与
.
(1)分别使用这两个函数模型对本次研究进行分析,求出对应的函数解析式;
(2)若测得6月底凤眼莲的覆盖面积约为
,判断上述两个函数模型中哪个更合适.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d277413d099d43ef440c14cac849a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a5429f6ade39116fc3ac69f199b113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81773ca39ca86ece393550508ca5a1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8ce2c3585d5ecde3ec98dd8ab613ac.png)
(1)分别使用这两个函数模型对本次研究进行分析,求出对应的函数解析式;
(2)若测得6月底凤眼莲的覆盖面积约为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8843fd264eadb8f679511ebb0f3dd281.png)
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解题方法
2 . 已知
且
,则函数
与
的大致图象可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78f4d1e26969e1a63df9d9cd4df83e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b80dfcdcab0cbb898702fbb7341f79.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知函数
若满足
(
,
互不相等),则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8130a1b1542a939222938af2efd2f208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3ac6b43252e6b3dc816180dbf20015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c662f778e88c2a6d7e5959c1ca750f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1604ede9bfaa4ea837c05124d7ba1a.png)
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解题方法
4 . 已知
是定义在
上的奇函数,当
时,
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b34bc22340c8ec0b27cb7d577c1057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7891b2e084f42deea90d3611650b1f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 如图,以
为始边作角
与
,它们的终边分别与单位圆相交于点
,点
的纵坐标为
.
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3efc0b9b6614f234d7363614981d16de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a282d19bf2c827a98d4443330f7ca1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7df99fe6438442a9453fc0c57fb703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77cbd1d8a36c561ed87d87ceec43a4a1.png)
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名校
6 . 已知
是第三象限角,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed811dc4904d6781f97da9e6d7cc03fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-10更新
|
969次组卷
|
3卷引用:甘肃省定西市2023-2024学年高一上学期期末考试数学试题
解题方法
7 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5457f8b8fa79565beb903c05db516c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知函数
.
(1)求
的单调递增区间;
(2)求
在区间
上的最值,并求出取最值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7e60a063bc95b7415a08502b732d32.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f041e45e00b71ff9773d2412e5de2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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9 . 古代文人墨客与丹青手都善于在纸扇上题字题画,题字题画的扇面多为扇环形.已知某纸扇的扇面如图所示,其中外弧长与内弧长分别为
,连接外弧与内弧的两端的线段长均为
,则该扇环的圆心角的弧度数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6833d9c0ab41e1289c5df7fb8893ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff748d864eeeefef79124c297c0675c0.png)
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10 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c7bc59954bbe35c396c3aa73c1ef25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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