1 . 函数
有且只有一个零点,则m的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab612e57cefc71a4e54090a530c39ec5.png)
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2 . 太极图被称为“中华第一图”,其形状如阴阳两鱼互抱在一起,因而被称为“阴阳鱼太极图”.如图所示的图形是由半径为2的大圆O和两个对称的半圆弧组成的,线段MN过点O且两端点M,N分别在两个半圆上,点P是大圆上一动点,令
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f628174dab470cf9a59f75f37d01e6.png)
________ ;
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875da985bd6412c94b5cf94dd018434f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb1f3f67cb7b80fb1eae54c890921db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0656550e7baa73cadb06b93c0ea5930f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f628174dab470cf9a59f75f37d01e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
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3 . i是虚数单位,则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6499260d577b59cd0f47c5a1c72b44df.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6499260d577b59cd0f47c5a1c72b44df.png)
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4 . 如图,在
中,
是
的中点,点N在边
上,且
,
与
相交于点
,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce0da153621bbd05519f168b527e3e.png)
_________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4713985fd15713e52c5001059345c.png)
_________ .(注:用
和
来表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ac7b134d8d1136f90233addaa4723f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce0da153621bbd05519f168b527e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb4713985fd15713e52c5001059345c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/8cf6e567-0ffc-4f88-8f23-ded09856cf2e.png?resizew=141)
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5 . 已知
则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30195fdef66f863248e03a26b3338134.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abfd42e48ce99d98bf54d458da4dd775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30195fdef66f863248e03a26b3338134.png)
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6 . 已知向量
则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acef6e45e16d4273569b2d997f08f4f7.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0840fc52565f891230da8b2e4ab1182a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acef6e45e16d4273569b2d997f08f4f7.png)
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7 . 在
中, 已知
, 则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4c3601e8b0ddcf6542369ea0c3032a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
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8 . 已知
, 且
,则
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1587372f48f35c34ef3962d8dd796d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39346db456e8935d6d95a14b1d50ccde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2024-03-27更新
|
816次组卷
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4卷引用:天津市第五中学2023-2024学年高一下学期3月月考数学试题
9 . 设函数
,若
有四个实数根
,
,
,
,且
,则
的取值范围__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c644290b78dbdda8ec48b137f9c5880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961ccb40cc85faaed624b76eee6dad19.png)
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10 . 已知双曲线
与抛物线
的一个交点为
为抛物线的焦点,若
,则双曲线的渐近线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423db9ff20877e08b9ea37df4bd09b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8348c89c6f13053325f4e1c62e29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6506d4d87f79b3489fb40f4e4f646ff2.png)
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2024-03-26更新
|
915次组卷
|
2卷引用:天津市红桥区2024届高三一模数学试题