名校
解题方法
1 . 我们知道,一个一元一次方程最多有一个根,一个一元二次方程最多有两个根,这些都是代数基本定理的简单表示,代数基本定理可以表述为:一元n次多项式方程最多有
个不同的根.由代数基本定理可以得到如下推论:若一个一元
次方程有不少于
个不同的根,则必有各项的系数均为0.已知函数
,函数
的图象上有四个不同的点A、B、C、D.利用代数基本定理及其推理回答下列问题:
(1)解关于x的方程
;
(2)是否存在实数
,使得关于
的方程
有三个以上不同的解,若存在,求出
的值,若不存在,请说明理由;
(3)若
按逆时针方向顺次构成菱形,设
,求代数式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8a18548e00a131abe2eca8c4c815c2.png)
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bc57a9ac3f82c3b8af4fe78e5c861b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)解关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b070bfc31cef4c001541af54d3c36cd3.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2158cfb945452be603a745510df299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877194ab8760f54c35527177b03ff93.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b032796d46540441098204aa82c12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8a18548e00a131abe2eca8c4c815c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004d926a934cced9bc523a8ecde1df1.png)
您最近一年使用:0次
2 . 若函数
的导函数
在点
可导,则称
在点
的导数值为
在点
的二阶导数,记作
.若
在开区间I内的每一点都二阶可导,则得到一个定义在I上的二阶导函数,记作
.曲线
上任意两点间的弧段总在这两点的下方;而曲线
则相反,任意两点间的弧段总在这两点连线的上方.我们把具有前一种特性的曲线称为凸的,相应的函数称为凸函数;后一种曲线称为凹的,相应的函数称为凹函数.连续曲线上凹弧与凸弧的分界点称为曲线的拐点.拐点在统计学,物理学,经济学领域都有重要的应用.若函数
在定义域内是一条连续不断的曲线,对任意的
,
的导函数
都存在,且
的导函数
也都存在,若
,使得
,且在
的左右附近,
异号,则称点
为曲线
的拐点.已知函数
,
,
.
(1)求
在定义域内的拐点个数;
(2)若
在
上有唯一拐点
,求实数k的取值范围;
(3)函数
在区间
恰有一个拐点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268ea7b6a873194253b75233ac18545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a09c048d8ea4456b9db662b39d3a208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd16646e695eeb7088134cb94d51691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8559f5db9b978cb2bd290dbce7268629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2430fa48f248e998e256e91165970bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d74fb771e771f22b7e4249da06289e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a63eed6f348f10044c48dacb045b7b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3ac8b888cea3c2a212f4b21447d3bd.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2629d7ba67bc8caed81c64c3c1341275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
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名校
解题方法
3 . 在
中,
为边
上一点,
为边
上一点,
交
于
.
(1)若
,求
.
(2)若
,
(i)求
;
(ii)求
和
的面积之差.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2500c84548d67efec4daa6888e522a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b210112e06c09e01255f901f22417500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4abf471da32c43bc2e56679a2038cac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0173d70c0593f0b2c451f42eb373f211.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b0216fb4161cda4be672d5224cedfd.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fbd6b9f85c086ac95562fe45e8d969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f483a71f250bac98cb05d67dccad14.png)
您最近一年使用:0次
4 . 已知函数
.
(1)当
时,求
的极值;
(2)若
恒成立,求实数
的取值范围;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b48e39514c9e9909e94fc5745355cfa.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274961e116aff1637d4bc3ac4944ce5.png)
您最近一年使用:0次
2024-05-25更新
|
753次组卷
|
5卷引用:重庆市第十八中学2023-2024学年高二下学期中期学习能力摸底考试数学试题
名校
解题方法
5 . 对于数集
,其中
,
,定义向量集
,若对任意
,存在
,使得
,则称
具有性质
.
(1)已知数集
,请写出数集
对应的向量集
,并判断
是否具有性质
(不需要证明).
(2)若
,且
具有性质
,求
的值;
(3)若
具有性质
,且
,
为常数且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7a53ccddc5210a37f12e3ab6e99df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3fe482c5e20abfc9f89c876f653ae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5751a1b2fb31063f3360f4ef5b0274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c122d308af408739c2717376e932122d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c6bb4424eb1e5ab02b8ac83fd6ad10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8de3dabcc3150fd539ac97718ba10c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(1)已知数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c40ffb95d55e922a408458c19940dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096b1ece1dcd29c59a46a4b3e02cb548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351bb3f3c54604330fa5b6c2bc3a7502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096b1ece1dcd29c59a46a4b3e02cb548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73eecc365f7e94267552eb430f2034e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6734531288c894a5edb143104e448ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b68031c3405c23f82fb3f352e44a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa18be2cbabe89d886b99241c4dca28.png)
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名校
6 . 已知函数
.
(1)若
,求
的图象在点
处的切线方程;
(2)
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e415b0b2a32ab09fe3db34b0955ad3ad.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012fdd1624ffb45982886bb6ae8b91a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
.
(1)若
,求函数
在
处的切线方程;
(2)若函数
在
上单调递减,求
的取值范围;
(3)若函数
有两个极值点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea1dae1d080a1ba5bfe1cfa4bbdfb21.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.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/d8654d4c41dcad9277be02979ffb057b.png)
您最近一年使用:0次
名校
解题方法
8 . 若函数
在定义域内存在两个不同的数
,同时满足
,且
在点
处的切线斜率相同,则称
为“切合函数”
(1)证明:
为“切合函数”;
(2)若
为“切合函数”,并设满足条件的两个数为
.
(ⅰ)求证:
;
(ⅱ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcc25bee0bd3ceeb3e8d0573f34b6b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87b4c3b6486ddc142457f3781d898d8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5ca0a482b48b476356bf5e2c502810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
(ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a0b39ed179340810fea23d244406ce.png)
(ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65885209eb867c87729188328ae03261.png)
您最近一年使用:0次
2024-05-12更新
|
189次组卷
|
2卷引用:重庆市名校联盟2023-2024学年高三下学期第一次联考数学试题
名校
解题方法
9 . 某学校即将参加一场重要的篮球比赛,通过比赛获得荣誉,不仅能为学校争光,也能为自己的高中生活增添一抹亮丽的色彩.现要从
名学生中选出
名组成代表队,其中
名作为主力队员,
名作为替补队员.设选出代表队的不同方法种数为
.
(1)求出的
的值(用组合数表示);
(2)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9713d7ffbb58aa922922e6fb9562049f.png)
.当
,
时,记选出代表队的不同方法种数为
,求
;
(3)当
为偶数时,求
被4除的余数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598e17251bb912de24d31572b7f01686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4827f538b9721a48ca89c992f172264.png)
(1)求出的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4827f538b9721a48ca89c992f172264.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9713d7ffbb58aa922922e6fb9562049f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950af9e919897251e32993d008ea5e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a61d972030f7a3703e8e4816e08de16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d13b6d14fe3ecca708c992955b5a3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e45c64ab23c70311c764021e8d1923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198d06e1e36f9fc593b636d3df6f7058.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198d06e1e36f9fc593b636d3df6f7058.png)
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2024-05-11更新
|
236次组卷
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2卷引用:重庆市西北狼教育联盟2023-2024学年高二下学期4月期中联合测试数学试卷
名校
解题方法
10 . 柯西中值定理是数学的基本定理之一,在高等数学中有着广泛的应用.定理内容为:设函数
,
满足①图象在
上是一条连续不断的曲线;②在
内可导;③对
,
.则
,使得
.特别的,取
,则有:
,使得
,此情形称之为拉格朗日中值定理.
(1)设函数
满足
,其导函数
在
上单调递增,判断函数
在
的单调性并证明;
(2)若
且
,不等式
恒成立,求实数
的取值范围;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9b92a1988f20c45e8ba3887eeb6b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce5b83b652a50ea15c83c826d8fb52f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38593523a246f9e59688f64444e0dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a1212aca40e8dfbb97ae428c5d40a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4306fb6d5419322b4b7b9140e06e43a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38593523a246f9e59688f64444e0dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584ef8a5b63c5a2a80372865ac0cc0a0.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acaa791feb147bd1a8bf5eb4f81a0cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a4b4a9b7f0a8c3de045fe903204800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e71b49ac6c97943138bed91aab6215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d64f25e0020c3db48bb6a767afa98a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19cf16fd398ad9782cd4f5149d0c76f.png)
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