1 . 比较
、
、
的大小关系( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cb088dada6e2bfa4c7fe1172931fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b12e8c2a2b6609c38ee960d4122a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78eb1c730e813cadba6c8b53eaef528.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-05-24更新
|
214次组卷
|
2卷引用:北京市门头沟区大峪中学2023-2024学年高一下学期期中数学试卷
名校
解题方法
2 . 已知函数
(
,
),再从条件①、条件②、条件③这三个条件中选择能确定函数
的解析式的两个作为已知.
条件①:函数
两条对称轴之间最短距离为
;
条件②:函数
的图象经过点
;
条件③:函数
的最大值为1.
(1)求
的解析式及最小值点;
(2)已知
,若函数
在区间
上恰好有两个零点,求a的取值范围.
(3)若函数
在区间
(
)上有且仅有2条对称轴,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac53771c4dc09ca7a8a048b14a05bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec90f93919eb1d1a6b0ed9d05bf91c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
条件①:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
条件②:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068008cf1cf783073ff399b89ff643b8.png)
条件③:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e346b78671f464f270a92e948d1d3372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b172723002461ae60798317e2f10f6c2.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4712903dc7b8c313dcb7578d641c43b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
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名校
3 . 已知函数
.
(1)利用五点法画函数
在
内的图象;
(
),且
的最小正周期为
,求
的单调递增区间;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a23733cc570d841dee490221fbfb508.png)
(1)利用五点法画函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac54b570584309cb91b850edf28c3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2114f95d431ca8777bb1c2e9bbcf6157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
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4 . 已知函数
(
)在
上的图象有且仅有3个最高点.下面四个结论:
①
在
上的图象有且仅有3个最低点;
②
在
至多有7个零点;
③
在
单调递增;
④
的取值范围是
;
则正确的结论是______ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8046aa421d61d05da2f197f61c79ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8ec0ccdb6db6fbaeb1172e281ec22f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8ec0ccdb6db6fbaeb1172e281ec22f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0145c944dd3216b95c2fe55aa2fb17f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b53b5494acfb30338683d64d35357a.png)
则正确的结论是
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名校
解题方法
5 . 已知
,求下列代数式的值:
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82e266f5d75b24c91c637a82675c975.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed780d76e30ffcceaa96958227ac65bd.png)
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6 . 设向量
与
的夹角为
,且
,
,则
在
方向上的投影数量为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78cf89878b3b5be0aaff3bde0c828c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b311957e153c4ebb3c77fbd58e3a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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名校
解题方法
7 . 已知
是锐角,且
.
(1)化简
;
(2)若
,求
的值,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597a103b942d65a93410505f558a4d74.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf6cd3c1837819eb5675102c8bf0129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
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名校
解题方法
8 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5590d740095d346b6f381376336c5612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b752d16b0a71bbf88110fae9916036.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
9 . 当
时,函数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3395c7415946c9beec09d7752650f826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c5d5c15746e1a99edec1870ee05f5c.png)
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解题方法
10 . 函数
的定义域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df50f99dd558d2cf90da2cd7125ae0f.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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