第1卷

页数: 94

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目录
ⅰ introduciion
1 what is a sentence?
2 how many kinds of sentences are there?
3 define each and give examples.
4 what is a clause?
5 what is a phrase?
6 how many parts of speech are there?
7 what are the double parts of speech?
ⅱ nouns
8 what is a noun?
9 how many kinds of nouns are there?
10 what is a proper noun?
11 what is a common noun?
12 what is a collective noun?
13 what is a material noun?
14 what is all abstract noun?
15 what is the distinction between a collective noun and a noum of multitude?
16 may the same word be an abstract noun or a common noum?
17 can an abstract noun be used as a proper noun?
18 how can a proper,material,or abstract noun be used as a common noun?
19 point out the kind of each of the following nouns.
20 what is the gender?
21 how many kinds of genders are there?
22 what is a masculine gender?
23 what is a feninine gender?
24 what is a common gender?
25 what is a neuter gender?
26 how many ways are there to form feminines?
27 what are the other ways to add ess?
28 what are the feminines that have on masculines?
29 what is the gender of inanimate object when it is personified?
30 what are the feminines of: ram,billy-goat,pes-cock,giant,peer,inst-ructor,votary,governor,sorcerer,bridegroon,and widower?
31 what is a case?
32 how many cases are there?
33 when is the noun in the nominative case?
34 what does the possessive case denote?
35 what does the objective case show?
36 how is the possessive case generally formed?
37 when can the s be omitted?
38 then how the apostrophe and s be used in the possessive case?
39 what are the meanings denoted by the possessive?
40 what is the number of a noun?
41 what are the mumbers?
42 how is plural number formed?
43 how is plural formed when the noun ends in y ?
44 how is plural formed when the noun ends in f or fe?
45 how is a compound noun formed in its plural?
46 what are the nouns which never or seldom take a singular?
ⅲ adjectives.
47 what is an adjective?
48 how many kinds of adjectives ars there?
49 what is a proper adjective?
50 what is a descriptive adjective?
51 what is a quantitative adjective?
52 what is a numeral adjective?
53 what is a demonstrative adjective?
54 what is a distributive adjective?
55 what noun can be followed after a quantitative adjective?
56 what are the main classes of a numeral adjective?
57 what are definite numeral adjectives subdivided?
58 what are demonstrative adjectives divided?
59 what are the articles?
60 when are the and a or an used?
61 how can an adjective be used?
62 what is the diff erence between the attributive use and the predicative use?
63 what are the sul stitutions for adjcctivcs?
64 what is comparison of adjectives?
65 how many degrees of comparison are there?
66 what is the positive degree?
67 what is the comparative degree?
68 what is the superlative degree?
69 how is the comparative of superlative formed,if the positive ends in one consonant which is preeeded by a sbort vowel?
70 if the positive ends in e,how is the comparative or the superlative formed?
71 if the positive ends in y,how in the comparative or superlative forned?
72 what is the another way to form the comparative and the superlative?
73 what are the six words which are adverbs in the positive degree but adjectives in the compartive and superlative degree?
ⅳ pronouns
74 what is a pronoun?
75 how many kinds of pronouns are there?
76 what is a personal pronoun?
77 what is a demonstrative pronoun?
78 what is a relative pronoun?
79 what is an interrogative pronoun?
80 how many forrns of a personal pronoun in possessive case are there?
81 what is the reflexive personal pronoun?
82 what are the chief demonstrative pronoouns?
83 when are these words demonstrative adjectives,and when are demonstrative pronouns?
84 what are the words which belong boht to personal pronouns and demonstrative pronouns?
85 why can they be both personal pronouns and demonstrative pronouns?
86 how it can be used sa a demonstrative pronoun?
87 how are this and that used as pronouns?
88 what are the indefinite demonstrative pronouns?
89 what are the user of each?
90 what are the two most common relative pronouns?
91 what are the two uses of who and which?
92 what are the two senses implied in whoand which?
93 how can an interrogative pronoun be used?
94 what is the difference between who, which,and what?
95 what is the another use of the interrogative pronoun what?
ⅴ verbs
96 what is a verb?
97 how many kinds of verbs are there?
98 what is a transitive verb?
99 what is an intransitive verb?
100 what is an auxiliary verb?
101 what is a factitive verb?
102 what is a complement?
103 what are the forms of an object?
104 what are the forns of a complement?
105 what can an object be put?
106 when can the relative as object be omitted?
107 when can a transitive verb be used intransitively?
108 how can an intransitive verb be made transitive?
109 when does an intransitive verb beeome trarsitive itself?
110 which an the two kinds of objects coming after an intransitive verb?
111 what is a cognate object?
112 what are the different forms of a cognate verb?
113 what is voice?
114 how many voices ane there?
115 how can an intransitive verb be used in the passive voice?
116 how is a sentence changed from the active voice into the passive?
117 if the active sentence contains two objects,bow is it changed?
118 what does this sentence mean:—he looks pale?
119 how can a verb be omitted?
120 what is a mood?
121 how many moods are there?
122 what does each mood express?
123 how can do or did be used in the indicative mood?
124 when can an imper ative mood be used?
125 what is the another use of the impera-tive mood?
126 what is the sign of the infinitive mood ?
127 how can the infinitivesign to be leftout?
128 how many kinds of infinitives are there?
129 how can a simple or noun-infinitive be used?
130 how can a qualifying or gerundial infinitive be used?
131 what is about the number and person of a verb?
132 what is the number of a verb,if there are two subjects not of the same person?
133 how is the verb singular,when there are two subjects?
134 how is the verb plural,when there is only one subject?
135 what is a participle?
136 how can a participle be used?
137 what kind of adjective does the participle belong?
138 what does the participle form as part of a finite verb?
139 how can a participle be used as an adjective?
140 what kinds of objects can a participle take?
141 how can a past participle be used?
142 what are the three uses of participle?
143 what are the mesninga implied in participles?
144 what is a gerund or a verbal noun?
145 what is the difference between a gerund and a participle?
146 what does the gerund show as part of a verb?
147 how can a gerund be used as a noun?
148 how is a gerund denoted by noun or pronoun?
149 what is the difference between gerund and a verbal noun?
150 what is tense?
151 how many simple tenses are there?
152 how many forms has each simple tense?
153 how is the present indifinite formed?
154 if the infinitive ends in s,ch,sh,o,or x,how is the present tense formed in the third person singular number?
155 if the infinitive ends in y,how is the present tense formed in the third person singular number?
156 how is past indefinite formed?
157 if the infinitive ends in y,how is past tense formed?
158 how is future indefinite formed?
159 what is the difference between has come and is come?
160 what are the principal parts of a verb
161 what is the conjugation?
162 what are the main kinds of conjugation of irregular verbs?
163 how is the verb of the strong eonjugation conjugated?
164 when should the final consonant be doubled?
165 how is the verb in the weak conjugation conjugated?
166 how is the continuous terse formed in three main tenses?
167 how is the perfect tense formed in three main tenses?
168 how is the perfect continuous formed in three main tenses?
169 in how many ways can the verb to be be used?
170 in how many ways can the verb to have be used?
171 in how many ways can the verb shall be used?
172 in how many ways can the verb will be used?
173 in how many ways can the verb do be used?
174 in how many ways can the verb may be used?
175 in how many ways can the verb cam be used?
176 how can the verb ought be used?
177 in how many senses can the verb must be used?
178 in how many ways coan the verb dare be used?
179 how is the verb need used?
ⅵ adveres.
180 what is an adverb?
181 how many main kinds of adverbs are there?
182 how is a simple adverb subdivided?
183 where is the adverb placed,when it does not qualify a verb?
184 where is the adverb placed,when it qualifies an intransitive verb?
185 where is the adverb placed,when it qualifies a trarsitive verb?
186 where is the adverb placed,when it qualifies a verb with an auxiliary?
187 when is the adverb placed at the beginning of a sentence?
188 what is the differnce between much and very?
189 where is enough placed as an adverb?
190 what is the difference beween little and a little?
191 what is the introductory adverb?
192 what are the different lses of the adverb indeed?
193 what art the meanings of the adverb once?
194 what in a relative adverb?
195 what is the another use of the?
196 what is an interrogative adverb?
197 by what word can be used in an exelamatory sense as an adverb?
198 what are adverbs mostly formed from?
199 what are degrees of comparison in adverbs?
200 what are the pairs of adverbs mostly used?
201 what are the two uses of adverbs?
ⅶ prepositions.
202 what is a preposition?
203 how many forms of prepositions are there?
204 how is the double preposition used?
205 how is a compound preposition formed?
206 what is a participial preposition?
207 what are phrase prepositions?
208 how is but used as a preposition?
ⅷ conjunctioks.
209 what is a conjunction?
210 how are conjunctions divided?
211 how are co-ordinate conjunctions subdivided?
212 how is a subordinate conjun ction divided?
213 give an example for each
ⅸ interjections.
214 what is an interjection?
215 what are the forms of an interjection?
ⅹ sentences,clauses,phrases
216 how many kinds of sentences are there?
217 what are the principal parts of a sentence?
218 what are the principla forma of a subject?
219 what are the forms of an object?
220 what is the general position of a subject and anobject?
221 when is a subject placed after the verb?
222 when can an object be placed before its preposition?
223 how many kinds fo clauses are there?
224 how can a noun-clause be used?
225 how many kinds of phrases are there?
ⅺ analysis
226 how many kinds of sentences are there in analysis?
227 what is a simple sentence?
228 what is a compound sentence?
229 what is a complex sentence?
230 how is a sentence divided in analysis?
231 how many kinds of attributive adjuncts are there?
232 how many kinds of adverbial adjunets are there?
233 analyze the following simple sentence .
234 analyze the following compound sentence.
235 analyze the following complex sentence.
ⅻ parsing
236 what is parsing?
237 parse the following ssntenes.

第2卷

页数: 85

费用：3 元

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目录
一 整数四则
1 怎样是加法
2 怎样是减法
3 怎样是乘法
4 怎样是除法
5 括号怎样用法
二 应用问题
6 怎样解决应用问题
7 怎样是数字题
8 怎样是工作题
9 怎样是资金题
10 怎样是货价题
11 怎样是年龄题
12 怎样是速度题
13 怎样是时间题
14 怎样是距离题
15 怎样是鸡兔共笼题
16 怎样是混合题
17 怎样是比重题
18 怎样是方陈题
三 约数和倍数
19 怎样是约数和倍数
20 约数和倍数的例
21 怎样求分数的最大公约数和最小公倍数
四 分数问题
22 怎样是分数
23 怎样是数字题
24 怎样是工作题
25 怎样是资金题
26 怎样是货价题
27 怎样是年龄题
28 怎样是时间题
29 怎样是鸡兔题
30 怎样是混合题
五 复名数
31 怎样是复名数
32 怎样是面积和体积
33 怎样是货币问题
34 怎样是经时问题
35 怎样是温度问题
六 循环小数
36 怎样是循环小数
七 比例
37 怎样是比例
38 怎样解正比例
39 怎样解反比例
40 单比例杂例
41 怎样解复比例
42 怎样是连锁比例
43 怎样是配分比例
44 怎样是混合比例
八 百分法
45 怎样是百分法
46 怎样是单利法
47 怎样是复利法
48 利息的应用
九 开方
49 怎样开平方
50 怎样开立方
附 求积杂题

第3卷

页数: 89

费用：3 元

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目录
一 代数学的基础
1 定义
2 单项式的加减乘除
3 多项式的加减乘除
4 括号的用法
5 加减乘除的定律
6 乘算公式
7 除算公式
二 方程式
8 定义
9 公理
10 解方程方法
11 一无一次方程式
12 数字题
13 工作题
14 资金题
15 年龄题
16 混合题
17 时间题
18 分配题
19 联立方程式解法
20 联立方程式应用问题
21 怎样解联立方程式应用问题
三 因数和因数分解
22 因数分解法
23 三项式的因数分解
24 续
25
26 最高公因数
27 最低公倍数
四 分数
28 约分和通分
29 分数加减
30 分数乘除
31 繁分数
32 分数方程式
33 无定方程式
五 根和开方
34 变数和函数
35 无理数和根
36 开方
六 二次方程式
37 一元二次方程式
38 联立二次方程式
39 二次方程式 用问题
40 二次同次联立方程式
41 联立方程式特别解法
42 高次方程式
43 无理方程式
44 方程式杂例
七 比例
45 比例解法一
八 级数
46 等差级数
46 调和级数
46 等比级数
九 二项式定理
49 二项式定理解法
十 对数
50 对数解法和指数方程式

第4卷

页数: 70

费用：3 元

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目录
一 结论
1 什么叫几何学
2 什么叫体，面，线，点
3 什么叫直线和平面
4 什么叫角
二 直界形
5 什么叫三解形
6 什么是直线的性质
7 什么是三角形的性质
8 什么是直角三角形的性质
9 什么是等腰三角形的性质
10 怎样作几何图
11 怎样云解决几何题
12 怎样叫三角形的重心
13 怎样叫三角形的内心
14 怎样叫三角形的外心
15 怎样叫三角形的垂心
16 怎样叫三角形的外角
17 三角形的中线和两邻边有什么关系
18 三角形和他的三边上所作的等过三角形有什么关系
19 怎样叫点的轨迹
20 已知角的平分线是什么 点的轨迹
21 怎样叫四过开
22 什么是平行四过形的性质
23 四边形和对角线有什么关系
24 四边形和他各边的中点有什么关系
25 怎样叫多边形
26 多边形的角度和边数有什么关系
27 怎样叫对称形
28 怎样叫对称中心
29 什么是证定理的要义
30 怎样解决几何作图题
31 已知三角形的两角和周界，作三解形
三 圆
32 怎样是直线和圆的关系
33 什么是圆的性质
34 怎样计算角度
35 圆和内切角有什么关系
36 三角形的垂心和外切圆有什么关系
37 三角形的垂线和外切圆有什么关系
38 怎样求真线在已知圆外的轨迹
四 比例相似形
39 三角形和比例有什么关系
40 怎样叫相似多边形
41 怎样计算圆形的数直
42 过一点作两圆的切线，使两线分成比例
43 多边形的面积怎样
44 正多边形和圆有什么关系
45 怎样叫极大极小
46 求证正题的极大极小
五 立体
47 怎样是空间的线和平面的关系
48 平面上的角是怎样
49 直线被平行面所截，成怎样比例
50 怎样叫二面角
51 怎样叫多面角
52 怎样叫角柱体
53 怎样叫平形六面体
54 怎样叫角锥体
55 怎样是多面体的变通定理
56 怎样叫圆柱体
57 怎样叫圆锥体
六 球体
58 怎样叫球
59 怎样叫球面角
60 怎样是球面多边形
61 怎样量球面的面积
62 怎样计算球的体积
63 怎样叫椭圆
64 怎样是抛物线
65 怎样是双曲线

第5卷

页数: 69

费用：3 元

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目录
一 三角函数
1 定义
2 三角函数
3 三角函数计算法
4 馀角的三角函数
5 求馀角的三角函数法
6 45°的三角函数
7 30°的三角函数
8 任何锐角的三角函数
9 函数的关系
二 直角三角形
10 正弦的功用
11 馀弦的功用
12 正切的功用
13 馀切的功用
14 正割的功用
15 馀割的功用
16 分秒的数值
17 直角三角形解法
18 已知一锐角和弦
19 已知一锐角和对边
20 已知一锐角和邻边
21 已知两弦和一边
22 已知两边
三 对数
23 对数的意义
24 用对数计算乘除
四 多边形计算
25 用对数解直角三角形
26 直角三角形的面积
27 等腰三角形
28 多边形
五 角和函数
29 任何角的函数
30 函数的和与差
31 2倍或1/2角的函数
六 斜三角形
32 正弦定则
33 馀弦定则
34 正切定则
35 已知三边求三角
36 斜三角形的面积
37 已知三角形的两边和夹角
38 已知两角和任一边
39 已知三边
七 函数和方程式
40 反函数
41 恒等式
42 恒等式的例
43 三角方程式
44 联立方程式
八 球面三角形
45 定义
46 已知两边解球面直角三角形
47 已知两过和任一边的对角解球面三角形
48 已知三边解球面三角形
49 已知三角解球面三角形
50 球面三角形的面积