名校
解题方法
1 .
,当
;
,则
____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57482dd07cd65af499aff1fb19662de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b872404743ef6de122cad8b3118fe1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b15755538676cb04c0abc5796722cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
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2 . 在概率论中常用散度描述两个概率分布的差异.若离散型随机变量
的取值集合均为
,则
的散度
.若
,
的概率分布如下表所示,其中
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d1d5ad0aae7122d2a84f403012296f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fa077ea49e76c4a746c03eec43808c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c11f6c800b8e0410674a0c6d307d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf6b1657a1a144bba2ec7ee39f44ab0.png)
0 | 1 | |
0 | 1 | |
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名校
3 . 对于正整数
,函数
定义如下:
对于实数
,记方程
的不同实数解的个数为
,求使得函数
的最大值为4的所有正整数
的和为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9ea375c58fdc6611d86512b7284b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2022-12-27更新
|
472次组卷
|
3卷引用:重庆市三峡名校联盟2022-2023学年高一上学期秋季联考数学试题
名校
4 . 在下列说法中
①若函数
定义域为
,
,则其值域为
;
②已知
,对于任意
,
,且
,都有
;
③函数
,
且
的图象不过第一象限,则
,
;
④函数
与
的图象有且只有三个公共点;
⑤不等式
对满足
的一切实数
都成立,则
;
⑥定义:如果对任意一个三角形,只要它的三边长
,
,
都在函数
的定义域内,就有
(a),
(b),
(c)也是某个三角形的三边长,则称
为“三角形型函数”.函数
,
,
是“三角形型函数”.
其中你认为正确的有__ ;
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a04546d92fd165fc1ad2cc82c2dbb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124fb9eab689c537bb5ddf5012e35f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540b1c1d264521bb5d94b24789101793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a1850af7f41943dc2d09017410727f.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af07d272da54872ad5a5d2c8181760af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1a5699410baa270f3fa8153ab346e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95b2a374ef051a3aadaf5cc2ed055b7.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f989737e3cc5ec3a8d6b798a05a9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbea4ca0ff380f26dfe064a4f1921504.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
⑤不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05b0432e78aca5cc51aac1caa12a1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138191693e902bc728981bc6b399f702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e8b1b2f02a67f9419e76cce7d568ac.png)
⑥定义:如果对任意一个三角形,只要它的三边长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635e48dd8da911c43ec55a368aa6debc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9c607fe139845fac91b6f00c10b33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7ddb5245cbaa046b6e554dcb540a88.png)
其中你认为正确的有
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名校
解题方法
5 .
,可以表示为一个偶函数
和奇函数
的和,则
的最小值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99c713dcff14a970da868225381fc95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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