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1 . 已知数列
的通项为
,前
项和为
,则下列选项中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.如果![]() ![]() ![]() ![]() |
B.如果![]() ![]() ![]() ![]() |
C.如果![]() ![]() ![]() ![]() |
D.如果![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-05-21更新
|
954次组卷
|
3卷引用:湖北省黄石市第二中学2023-2024学年高三下学期三模考试数学试题
解题方法
2 . “对称性”是一个广义的概念,包含“几何对称性”、“置换对称性”等范畴,是数学之美的重要体现.假定以下各点均在第一象限,各函数的定义域均为
.设点
,
,
,规定
,且对于运算“
”,
表示坐标为
的点.若点U,V,W满足
,则称V与U相似,记作V~U.若存在单调函数
和
,使得对于
图像上任意一点T,
均在
图像上,则称
为
的镜像函数.
(1)若点
,
,且N~M,求
的坐标;
(2)证明:若
为
的镜像函数,
,则
;
(3)已知函数
,
为
的镜像函数.设R~S,且
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf145ba1997cc3d08e33f293254e6f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2795f6fc7043f930745976968466fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde4ec543a9f0c90361dc745f44803d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e472c830f937c5b6d170697b57104d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3be375f2101d25d3cb0918bf65b682b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd2ac83d16c87fcc7056e4c6dbbff36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661249bf6499017f9e5e03db3fcd93d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643cf4c0177c40edaf01e676c1d54c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5083e04454a558782d3bcbd2cabdde26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd2ac83d16c87fcc7056e4c6dbbff36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2595e01e8751886a27862cce04e2d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b925f9f6da6b75ee413e4de5701855a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7dad535985c70409e9c799c559386b.png)
(2)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e468e814daa94be212832da87ca2432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8569e7b5710b68a93b65b8930415b8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9716315555c1c3facc71023e6e1c75b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162768e1de8cab5e6e19b748a47b2216.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c945a45ca2e036019d017d2bec45d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8195f5ae98c4c40ff17aa510e39b46b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ebc9e30c1977652e8b9bfd6f10dc14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd72ac36aedac2ba9271b332e59d33ce.png)
您最近一年使用:0次
解题方法
3 . 函数
图像与
轴的两交点为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b67a988eee36733f064546a4b232092.png)
(1)令
,若
有两个零点,求实数
的取值范围;
(2)证明:
;
(3)证明:当
时,以
为直径的圆与直线
恒有公共点.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c80e4cb0344c6e0c4541e86c5fb08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b67a988eee36733f064546a4b232092.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9113131c37fe929112eab275820a1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b725fdc8de9800f2692f6fea8585b1e9.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87ecc31822d729a45488d803fff4e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feac29c5d1c1bc3e6dd5ad931fbd332b.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3dcd81aeafbda57f23cdc852ab6c35a.png)
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解题方法
4 . 记
,若
,满足:对任意
,均有
,则称
为函数
在
上“最接近”直线.已知函数
.
(1)若
,证明:对任意
;
(2)若
,证明:
在
上的“最接近”直线为:
,其中
且为二次方程
的根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdddd6c3c0c0ef2c14c4ea7faf24e99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699c5155f154bef4a75eb53a03f4291e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8908859073a35ccb07b25eb07d468185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf32da3779e82f7858c1f3c27a90dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc7121983d4ca0e328501601248eceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a1a493b667a18e55b835d2bd03ca4a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a40212b2b62489822575bf09e68ac8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92e918a76d99d245938076492d72f80.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d2168d7265787aa0eb475f56e3b32f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c4b7add471e5d031b98f7c1fc71f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155c7f573e898da225390202da1767e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9db16ab44b10eef1c151383757712.png)
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解题方法
5 . 微积分的创立是数学发展中的里程碑,它的发展和广泛应用开创了向近代数学过渡的新时期,为研究变量和函数提供了重要的方法和手段.对于函数
在区间
上的图像连续不断,从几何上看,定积分
便是由直线
和曲线
所围成的区域(称为曲边梯形
)的面积,根据微积分基本定理可得
,因为曲边梯形
的面积小于梯形
的面积,即
,代入数据,进一步可以推导出不等式:
.
;
(2)已知函数
,其中
.
①证明:对任意两个不相等的正数
,曲线
在
和
处的切线均不重合;
②当
时,若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78e5de9b684beb1bafc89efd5af8b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644ba16341e356b57ea153e840555290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb9e8df0db7e14434837c5ad77f27e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe83f1ae7e5f05d8bed6bf6f42db0e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e02b3995488ad13babd4eeb6f99c40e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe83f1ae7e5f05d8bed6bf6f42db0e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe83f1ae7e5f05d8bed6bf6f42db0e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b601337ff73bafe04fc3e40d0061fddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef73511ddedc2ab4b5bf17500554971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422f124d4c171787c292326b1d1c655c.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6c7daa90a08a84c1fe48d29ffe86e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe52e15d70c4355d101d333f8e6dc258.png)
①证明:对任意两个不相等的正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24a2c53e3b0b1c08803e95419f909d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecaca8409b3f51d22667a14559c58ea4.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86304c3e26200299a0480641525a283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d64909edca036b1463f214d977604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-13更新
|
1641次组卷
|
4卷引用:湖北省七市州2024届高三下学期3月联合统一调研测试数学试题
湖北省七市州2024届高三下学期3月联合统一调研测试数学试题安徽省淮南第二中学2023-2024学年高二下学期期中教学检测数学试题(已下线)湖北省七市州2024届高三下学期3月联合统一调研测试数学试题变式题16-19湖南省长沙市周南中学2024 届高三下学期第二次模拟考试数学试题
名校
6 . 如果函数
的导数
,可记为
.若
,则
表示曲线
,直线
以及
轴围成的“曲边梯形”的面积.
(1)若
,且
,求
;
(2)已知
,证明:
,并解释其几何意义;
(3)证明:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d4d758bac9a7272c1d40a5ea4176c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd8f5b33be6db5be0833f1801bd7a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6a5e6776e205fb09d8a689e1638947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436ff3cf58de28b55f7605675a47d818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ed0afb829f4d5c61ce89a556376d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0dc2a031743126b8b4fabb843a55bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c38abf9dbef1c45d9fd8143798fa0ea.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59176a49cf2e21c94cf550888de88c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
您最近一年使用:0次
2024-02-20更新
|
2430次组卷
|
7卷引用:湖北省十一校2024届高三联考考后提升数学模拟训练一
湖北省十一校2024届高三联考考后提升数学模拟训练一湖北省黄冈市浠水县第一中学2024届高三下学期第三次高考模拟数学试题重庆市第八中学校2023-2024学年高三下学期入学适应性考试数学试题(已下线)压轴题函数与导数新定义题(九省联考第19题模式)练(已下线)微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编(已下线)第5套 新高考全真模拟卷(二模重组)(已下线)压轴题01集合新定义、函数与导数13题型汇总-2
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7 . 在几何学常常需要考虑曲线的弯曲程度,为此我们需要刻画曲线的弯曲程度.考察如图所示的光滑曲线C:
上的曲线段
,其弧长为
,当动点从A沿曲线段
运动到B点时,A点的切线
也随着转动到B点的切线
,记这两条切线之间的夹角为
(它等于
的倾斜角与
的倾斜角之差).显然,当弧长固定时,夹角越大,曲线的弯曲程度就越大;当夹角固定时,弧长越小则弯曲程度越大,因此可以定义
为曲线段
的平均曲率;显然当B越接近A,即
越小,K就越能精确刻画曲线C在点A处的弯曲程度,因此定义
(若极限存在)为曲线C在点A处的曲率.(其中y',y''分别表示
在点A处的一阶、二阶导数)
(2)求椭圆
在
处的曲率;
(3)定义
为曲线
的“柯西曲率”.已知在曲线
上存在两点
和
,且P,Q处的“柯西曲率”相同,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505d83f4d34a8cd385577a6ce93a4b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea61ddc41f927684c6dfaacdd7f8e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0636a11a086df66133bd50e43481a546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427eceadd7bb569ff140ea73d650db1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0636a11a086df66133bd50e43481a546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea61ddc41f927684c6dfaacdd7f8e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92877ce3543f19dc565dbeff9777ecc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505d83f4d34a8cd385577a6ce93a4b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a6ffded1e8b3dd5ef03b57aa2beacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
(2)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a345c0ab9bc098efa03e17ea556fcb.png)
(3)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117c39fe1b37a6862ad0e46282488210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6004e46d022f4976a52dc949691da232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75def50794f0b3c42765b1e43334fcd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0cc87bade827b694da4e6e5c020eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7add187842d3ee824ed3a501f392735f.png)
您最近一年使用:0次
2024-01-29更新
|
3094次组卷
|
8卷引用:湖北省武汉市武钢三中2024届高三下学期开学考试数学试题
湖北省武汉市武钢三中2024届高三下学期开学考试数学试题浙江省宁波市镇海中学2024届高三上学期期末数学试题(已下线)第四套 九省联考全真模拟(已下线)压轴题函数与导数新定义题(九省联考第19题模式)练(已下线)新题型01 新高考新结构二十一大考点汇总-3(已下线)微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编湖南省长沙外国语学校2023-2024学年高二下学期3月月考数学试题山东省菏泽市定陶区第一中学2023-2024学年高二下学期第一次月考数学试题
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解题方法
8 . 已知.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f161c2a3717f1b6c62d0d7dae0b606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4753d6d46da2936d6e0d963b94efc02c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3abd318e7b51e3b16cd57b636e3b429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ca77a28ce8ce797a1b1bb3c465dcd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a458f4716b7fb99418d762909eecab11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c0309456de2cd6420ece4fbc5eeddb.png)
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解题方法
9 . 已知定义在
的函数
满足:①对
恒有
;②对任意的正数
,
恒有
.则下列结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6a8984aa398bf767ccd9a601d77983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a66d161030ad93973d77b1c53dec8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5386d0aff1b962f99b5565adb9a58cbf.png)
A.![]() |
B.过点![]() ![]() |
C.对![]() ![]() |
D.若![]() ![]() ![]() |
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2023-12-08更新
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1496次组卷
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6卷引用:湖北省黄冈市部分普通高中2024届高三上学期阶段性教学质量监测数学试题
湖北省黄冈市部分普通高中2024届高三上学期阶段性教学质量监测数学试题广东省广州市广东实验中学2024届高三上学期大湾区数学冲刺卷(三)江西省抚州市临川第一中学2024届高三“九省联考”考后适应性测试数学试题(一)(已下线)第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)湖南省长沙市明德中学2023-2024学年高二下学期开学考试数学试卷2024届高三新高考改革数学适应性练习(九省联考题型)
名校
10 . 已知
,曲线
:
与
:
没有公共点.
(1)求
的取值范围;
(2)设一条直线与
,
分别相切于点
,
.证明:
(i)
;
(ⅱ)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cd0ce93b5e667e626905ea50de73e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c487f5facded553b286d0b85a2167388.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设一条直线与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4d5ca4e251ff0e503a26f9a7375326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5823e0c6dd1b7a6ff42d4ff521cc0366.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84e93cfb5a81127f97271af803f8de0.png)
(ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e118c9e921bb7ab8720174df658f499.png)
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