1 . 若圆
的圆心在
轴上,且与直线
相切,则圆
的标准方程可以为__________ .(写出满足条件的一个答案即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2024-05-12更新
|
141次组卷
|
2卷引用:重庆市永川北山中学校2024届高三下学期高考预测卷(最后一套)数学试题
名校
2 . 记函数
的最小正周期为
,且
,将
的图象向右平移
个单位,所得图象关于
轴对称,则
的值可以是______ (写出符合条件的一个具体数值即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14256d339bbe06829127efe068de3a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eec55bee2f2507a999964484cece7d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
名校
3 . 已知中心为坐标原点,焦点在坐标轴上的双曲线
的一条渐近线与曲线
相切,则双曲线
的离心率可以是_________ .(写出一个结果即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3470c3dee26d9b7499e0ed612f601d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
4 . 将所有平面向量组成的集合记作
,f是从
到
的映射,记作
或
,其中
,
,
,
,
,
都是实数.定义映射
的模为:在
的条件下
的最大值,记作
.若存在非零向量
,及实数
使得
,则称
为
的一个特征值.
(1)若
,求
;
(2)若
,计算
的特征值并求出相应的
;(若符合条件的向量
有多个,写出其中一个即可)
(3)若
,要使
有唯一的特征值,实数
,
,
,
应满足什么条件?试找出一个映射
,满足以下两个条件:①有唯一的特征值
;②
,并验证
满足这两个条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c85067c53e936ef32da818efe04bdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb3b94a2bcc40d08b0e8d94582a8d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b554a3561cf5bc58c042970f19380be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53480692cbdd9df201316f06a9513c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a06b94a7d438e2c5b5bf200bfcb4c4.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/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aeffdb5b48bed20d19ec0966b46b100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d382b434fb5eb9763b2b4a96bf4813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c22e66e63ed6eaa6d31d7bdf96b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f051cb62cb74dc104c1c64c28b81494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635434c8e23636732637b590f1ec5800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f0fd74392fe0fa5d783162025e606f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c22e66e63ed6eaa6d31d7bdf96b63.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3120a0330e81da3442e422d7bcb311f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf6f71e816aeec0cd8fa4c6607b7dd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf6f71e816aeec0cd8fa4c6607b7dd3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8021593f7303b411e5f67bac77b44a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b72b4fb7161cbed587489cb91649ec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
您最近一年使用:0次
5 . 固定项链的两端,在重力的作用下项链所形成的曲线是悬链线.1691年,莱布尼茨等得出“悬链线”方程
,其中
为参数.当
时,就是双曲余弦函数
,类似地我们可以定义双曲正弦函数
.它们与正、余弦函数有许多类似的性质.
(1)类比正弦函数的二倍角公式,请写出双曲正弦函数的一个正确的结论:
_____________.(只写出即可,不要求证明);
(2)
,不等式
恒成立,求实数
的取值范围;
(3)若
,试比较
与
的大小关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852665ec9c3a65b758898059361f11a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a7c1d3681898e25187a896aeb0c8c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0718c04bdf70989bcc90b902671a692.png)
(1)类比正弦函数的二倍角公式,请写出双曲正弦函数的一个正确的结论:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8fe1e65b09697538d4dee0746846f4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe9f3099ed9429dc5b4e38a350e524a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343e7c30c2a5d166819b28e23fad2203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/563f464c94feac28033f6f3a271fbe8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2cebaab3423dfb2f2c944dfc43df8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb966b7b2dd6581640bcee2d97dacf77.png)
您最近一年使用:0次
2024-01-27更新
|
964次组卷
|
11卷引用:重庆市缙云教育联盟2024届高三下学期2月月度质量检测数学试题
重庆市缙云教育联盟2024届高三下学期2月月度质量检测数学试题福建省宁德市2023-2024学年高一上学期1月期末质量检测数学试题(已下线)压轴题函数与导数新定义题(九省联考第19题模式)讲河南省名校联盟2023-2024学年高一下学期3月测试数学试题(已下线)第八章:向量的数量积与三角恒等变换章末重点题型复习(2)-同步精品课堂(人教B版2019必修第三册)河南省信阳市信阳高级中学2023-2024学年高一下学期3月月考(一)数学试题(已下线)第8章:向量的数量积与三角恒等变换章末综合检测卷(新题型)-【帮课堂】(人教B版2019必修第三册)(已下线)专题04 三角函数恒等变形综合大题归类 -期末考点大串讲(苏教版(2019))(已下线)专题08 期末必刷解答题专题训练的7种常考题型归类-期末真题分类汇编(北师大版2019必修第二册)江西省上饶市横峰县横峰中学2023-2024学年高一下学期期中考试数学试卷(已下线)拔高点突破05 函数与导数背景下的新定义压轴解答题(九大题型)
解题方法
6 . 设函数
在
上为减函数,如果
,
,
,那么
_______________ . (写出 一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd139fb1d9ad28e104c438014420411f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84478684fb982a5b9a64b66371c8f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01293c75043b2c0ff2df020a2f5fec50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58d5b971695ecc882400825f436108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f29a473e9757d8f24f627f52e9e15.png)
您最近一年使用:0次
名校
解题方法
7 . 在一种新能源产品的客户调查活动中发现,某小区10位客户有4人是该产品的潜在用户,小刘负责这10人的联系工作,他先随机选择其中5人安排在上午联系,剩余5人下午联系.
(1)设上午联系的这5人中有
个潜在用户,求的
分布列与期望;
(2)小刘逐一依次联系,直至确定所有潜在用户为止,求小刘6次内即可确定所有潜在用户的概率.
(1)设上午联系的这5人中有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
(2)小刘逐一依次联系,直至确定所有潜在用户为止,求小刘6次内即可确定所有潜在用户的概率.
您最近一年使用:0次
名校
解题方法
8 . 由二维平面向量可以类比得到三维空间向量一些公式,比如若
,
则
,
等.非零向量
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ab55ce496dc3dfdf3f0c459ccf49cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39c662a3927de39135c3eee4b9cb68f.png)
.若
,
,则与
、
向量垂直的单位向量的坐标是(写出一个即可)___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a307b12e769bfe3794cf384acb5158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4399696c04b39a19df36fbbfeb40857a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df747d55394252a5d77e2bc0d843abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee42162824141eda41d37e3c053e39b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116e2e7116a7b5cd0a912ec0699ca017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ab55ce496dc3dfdf3f0c459ccf49cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39c662a3927de39135c3eee4b9cb68f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbb6bff810cd8f8694592d32936e0dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b53dacec127f88f88afed63959259e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
您最近一年使用:0次
2024-03-23更新
|
114次组卷
|
2卷引用:重庆市黔江中学校2023-2024学年高一下学期3月月考数学试题
名校
解题方法
9 . 某石油勘探队在某海湾发现两口大型油气井,海岸线近似于双曲线
的右支,现测得两口油气井的坐标位置分别为
,
,为了运输方便,计划在海岸线上建设一个港口,当港口到两油气井的距离之和最小时,港口的位置为______ .(填写坐标即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a8bc1791a9c09bde4866854f67a2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5b7863de77d7c636b12a79aba8e649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6328a6ae1da97b679adc1da5e603e8.png)
您最近一年使用:0次
2022-12-14更新
|
208次组卷
|
3卷引用:重庆市长寿区八校联考2023-2024学年高二上学期期末检测数学试题(B卷)
名校
解题方法
10 . 复数是由意大利米兰学者卡当在十六世纪首次引入,经过达朗贝尔、棣莫弗、欧拉、高斯等人的工作,此概念逐渐为数学家所接受.形如
的数称为复数,其中
称为实部,
称为虚部,i称为虚数单位,
.当
时,
为实数;当
且时,
为纯虚数.其中
,叫做复数
的模.设
,
,
,
,
,
,
如图,点
,复数
可用点
表示,这个建立了直角坐标系来表示复数的平面叫做复平面,
轴叫做实轴,
轴叫做虚轴.显然,实轴上的点都表示实数;除了原点外,虚轴上的点都表示纯虚数.按照这种表示方法,每一个复数,有复平面内唯一的一个点和它对应,反过来,复平面内的每一个点,有唯一的一个复数和它对应.一般地,任何一个复数
都可以表示成
的形式,即
,其中
为复数
的模,
叫做复数
的辐角,我们规定
范围内的辐角
的值为辐角的主值,记作
.
叫做复数
的三角形式.
,
,求
、
的三角形式;
(2)设复数
,
,其中
,求
;
(3)在
中,已知
、
、
为三个内角
的对应边.借助平面直角坐标系及阅读材料中所给复数相关内容,证明:
①
;
②
,
,
.
注意:使用复数以外的方法证明不给分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c0c72c17b74f9a5a175ec2b9d77e7.png)
![](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/c789a7cd7ac2b8b96dc879c6c8161ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fe68ea0bf368925909606949da47f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0bf9b2a7378e73e9fd06c693bfda07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368f9e12546277731776041c73dbe58c.png)
![](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/80e80e5baee553150c67a91f1017a7be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6958203312cbda12fd2683a819dd9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e472aea001d179c284e3687a9aacf384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e472aea001d179c284e3687a9aacf384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec45476379fb51aa1ef0a93f849f48be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e283f3168c0b5e8f68dda92c43651e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eec3e684af41f9ed4db5b931b9ccfb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f56cfb41ee7cb758fee138ab09e0d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec45476379fb51aa1ef0a93f849f48be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3665b2dac544bfb2a0c175f95a480e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b3a15906b84b98a3ac563e7e2ec9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd87d6e1987cf95d102de1045d3722a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/398d8980d3ec9fbf536a1efa6312a19a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0492634f27279b6470798af0185be67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c723970ac738976e0130e1438b67058.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](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/24e0c10fb103930eabd5fa18e8f9bb06.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1501d4035822b34fcc2378f1e316f159.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e63471f592531e46277365ed319e2acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923694c299d953e02cb79dfcef9f56a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ce2f54d69a5987c1de19da53342811.png)
注意:使用复数以外的方法证明不给分.
您最近一年使用:0次
2024-03-12更新
|
597次组卷
|
4卷引用:重庆市缙云教育联盟2023-2024学年高一下学期3月月度质量检测数学试题
重庆市缙云教育联盟2023-2024学年高一下学期3月月度质量检测数学试题黑龙江省哈尔滨师范大学附属中学2023-2024学年高一下学期开学考试数学试卷(已下线)模块五 专题六 全真拔高模拟2(已下线)第七章:复数(新题型)-同步精品课堂(人教A版2019必修第二册)