MikaStars39/nano-eval huggingface dataset:
The collaborative work of Fu Baoshi and Guan Shanyue, __________, embodies the artistic approach of integrating revolutionary realism and revolutionary romanticism, as advocated by Chairman Mao.

Options:
A. Glorious Landscape.
B. Majestic Splendor of Nature.
C. Symphony of Seasons.
D. Rising Dawn over the Mountains.
E. The Harmony of Nature.
F. The Beauty of the Land.
G. The Spirit of the Mountains.
H. The Great Wall in the Morning Sun.
I. Such Beauty in Rivers and Mountains.
J. Eternal Peaks.
Answer: I
Greek vase painting developed during the Archaic period, giving rise to three distinct styles: the Orientalizing style, __________, and __________.

Options:
A. The Classical style, and the Hellenistic style.
B. The Linear style, and the Abstract style.
C. The Realistic style, and the Mythological style.
D. The Geometric style, and the Naturalistic style.
E. The Sculptural style, and the Fresco style.
F. The Black-figure style, and the Red-figure style.
G. The Corinthian style, and the Ionic style.
H. The Decorative style, and the Structural style.
I. The Figurative style, and the Symbolic style.
J. The Pottery style, and the Relief style.
Answer: F
Renowned for his landscapes depicting cold forests and distant vistas, ________ gained great fame in the early Song Dynasty of China and was hailed as "the greatest of all time."

Options:
A. Li Cheng.
B. Ma Yuan.
C. Guo Xi.
D. Xia Gui.
E. Mi Fu.
F. Dong Yuan.
G. Zhao Mengfu.
H. Fan Kuan.
I. Huang Gongwang.
J. Wang Wei.
Answer: A
Matisse aspired to an artistic style characterized by harmony, purity, and tranquility, often described as a ______ style.

Options:
A. Relaxing atmosphere.
B. Soothing palette.
C. Serene landscape.
D. Tranquil garden.
E. Quiet sanctuary.
F. Harmonious melody.
G. Gentle rhythm.
H. Peaceful retreat.
I. Comfortable armchair.
J. Calming breeze.
Answer: I
During the socialist period in China, literary products and their consumption had dual characteristics in terms of ___________, __________, and economic benefits and social benefits.

Options:
A. educational purpose and entertainment value, supply chain and artistic merit
B. cultural significance and historical relevance, market demand and artistic integrity
C. mass appeal and niche markets, economic sustainability and artistic vision
D. social commentary and personal expression, financial viability and cultural identity
E. ideological alignment and public reception, economic growth and cultural preservation
F. commercial (exchange) value and aesthetic value, law of value and law of art
G. political influence and social impact, profit margins and creative expression
H. global influence and local tradition, revenue generation and artistic authenticity
I. artistic innovation and consumer appeal, trade regulations and artistic freedom
J. community engagement and individual creativity, market trends and cultural critique
Answer: F
In what ways does artistic truth, as opposed to the reality of life, convey an understanding or insight into the inherent nature of social existence?

Options:
A. Literal Representation.
B. Symbolic Interpretation.
C. Emotional Experience.
D. Satirical Commentary.
E. Philosophical Debate.
F. Hypothetical Scenario.
G. Narrative Fiction.
H. Cultural Reflection.
I. Metaphorical Illustration.
J. Abstract Expression.
Answer: F
What are the three cornerstones of Marxist literary theory?

Options:
A. Theory of Class Consciousness, Theory of Economic Determinism, and Theory of False Consciousness.
B. Theory of Commodity Fetishism, Theory of Revolution, and Theory of Cultural Hegemony.
C. Theory of Social Change, Theory of Humanism, and Theory of Ideological State Apparatuses.
D. Theory of Economic Base, Theory of Superstructural Influence, and Theory of Cultural Production.
E. Theory of Reification, Theory of Ideology and Theory of Art Production.
F. Theory of Alienation, Theory of Surplus Value, and Theory of Historical Materialism.
G. Theory of Dialectics, Theory of Praxis, and Theory of Base and Superstructure.
H. Theory of Productive Forces, Theory of Social Relations, and Theory of Material Conditions.
I. Theory of Capital, Theory of Labor, and Theory of Class Struggle.
J. Theory of Class Antagonism, Theory of Historical Development, and Theory of Political Economy.
Answer: E
Which French writer's works embody the universal characteristics of 20th-century critical realism literature: namely, the extensive aesthetic summarization of social life and events, the continuous in-depth exploration of various layers of causality of events, the concern for human fate, the anxiety over their difficult situations, and the probing into the most hidden desires of the human heart?

Options:
A. Paul Valéry
B. François Mauriac
C. Georges Simenon
D. Emile Zola
E. Romain Rolland
F. André Gide
G. Marcel Proust
H. Victor Hugo
I. Albert Camus
J. Simone de Beauvoir
Answer: E
Into which two categories did Wang Guowei divide artistic conception?

Options:
A. The realm of creation and the realm of interpretation.
B. The realm of sight and the realm of touch.
C. The realm of form and the realm of spirit.
D. The realm of harmony and the realm of conflict.
E. The realm of beauty and the realm of ugliness.
F. The realm of sound and the realm of silence.
G. The realm of essence and the realm of existence.
H. The realm of emotion and the realm of reason.
I. The realm with self and the realm without self.
J. The realm of nature and the realm of man.
Answer: I
What is the focus of characterization that marks the maturity of a novel?

Options:
A. Narrative style.
B. Emotional depth.
C. Dialogue authenticity.
D. Conflict resolution.
E. Plot development.
F. Symbolic representation.
G. Character portrayal.
H. Point of view consistency.
I. Setting description.
J. Thematic exploration.
Answer: G
In the history of world literary and artistic thought, who was among the earliest to regard literature and art as a form of humn activity?

Options:
A. George Eliot.
B. Henry James.
C. Mark Twain.
D. Victor Hugo.
E. Herman Melville.
F. Leo Tolstoy.
G. Johann Wolfgang von Goethe.
H. Charles Dickens.
I. Jane Austen.
J. Fyodor Dostoevsky.
Answer: F
What are the three historical meanings of literature?

Options:
A. Literature as a means of social critique, literature as a personal diary, and literature as a scientific analysis.
B. Literature as a means of communication, literature as a tool for education, and literature as a source of inspiration.
C. Literature as a historical document, literature as a moral guide, and literature as a commercial product.
D. Literature as a reflection of societal norms, literature as a form of entertainment, and literature as a historical record.
E. Literature as a form of propaganda, literature as a spiritual journey, and literature as a political manifesto.
F. Literature as a narrative form, literature as a poetic expression, and literature as a dramatic performance.
G. Literature as an artistic endeavor, literature as a method of storytelling, and literature as a means of preserving language.
H. Literature as a cultural artifact, literature as a philosophical inquiry, and literature as a psychological exploration.
I. Literature as a reflection of human experience, literature as a means of escapism, and literature as a cultural commentary.
J. In literary theory terminology, literature in the broad sense, literature in the narrow sense, and literature in the eclectic sense.
Answer: J
Han Chinese rap music is mainly divided into five types: _____, _____, _____, _____, _____.

Options:
A. Drum lyrics, Pingtan, Daoqing, Paiziqu, Hymns
B. Drum lyrics, Pingtan, Daoqing, Paiziqu, Ballads
C. Folk songs, Opera, Ballads, Hymns, Chants
D. Drum lyrics, Pingtan, Daoqing, Paiziqu, Chants
E. Drum lyrics, Pingtan, Daoqing, Paiziqu, Folk songs
F. Shidaiqu, Pingtan, Daoqing, Paiziqu, Qinshu
G. Rock, Jazz, Blues, Country, Metal
H. Drum lyrics, Pingtan, Daoqing, Paiziqu, Rock
I. Drum lyrics, Pingtan, Daoqing, Paiziqu, Qinshu
J. Drum lyrics, Pingtan, Daoqing, Paiziqu, Opera
Answer: I
In Yunnan, the _____ ethnic group still has four-part Christian songs.

Options:
A. Yi
B. Bai
C. Hani
D. Zhuang
E. Lisu
F. Naxi
G. Dai
H. Jingpo
I. nternal server error
J. Miao
Answer: E
In 1937, after Huang Zi resigned from the post of Dean of Academic Affairs of Shanghai National Conservatory of Music, he concentrated on the compilation of two textbooks, "_______" and "________".

Options:
A. Ethnomusicology, analysis
B. Musicology, acoustics
C. Melody, structure
D. Notation, rhythm
E. Orchestration, counterpoint
F. Instrumentation, form
G. Music history, harmony
H. Conducting, performance
I. Composition, theory
J. Dynamics, tempo
Answer: G
"Spring Outing" is an early three-part chorus piece written and composed by the musician ______.

Options:
A. Ma Sicong
B. Zhao Yuanren
C. Xian Xinghai
D. Wang Luobin
E. He Luting
F. Nie Er
G. Chen Qigang
H. Li Shutong
I. Tan Dun
J. Liu Tianhua
Answer: H
During the Qianlong and Jiaqing periods, the tanci artist ______ created a singing style that was euphemistic and lyrical.

Options:
A. Liu Zongyuan
B. Wang Wei
C. Zhang Yimou
D. Li Qingzhao
E. Yu Xiushan
F. Shen Congwen
G. Tang Xianzu
H. Bai Juyi
I. Xu Wei
J. Chen Shizeng
Answer: E
Bai Yunpeng and Liu Baoquan are important representatives of ______ in modern Chinese rap music.

Options:
A. Folk Song
B. Traditional Chinese Ensemble
C. Reggae
D. Electronic Music
E. Jazz
F. Country Music
G. Jingyun Drum
H. Rock and Roll
I. Beijing Opera
J. Hip Hop
Answer: G
What are the genres of ancient Greek music?

Options:
A. Field chants, Hunting calls
B. Musical dramas, Historical chronicles
C. Sappho ballads, Alceos rhythms
D. Lyric forms, Choral hymns
E. Narrative epics, Courtly verses
F. Festival songs, Religious prayers
G. Epic poetry, Tragic narratives
H. Folk tunes, Romantic sonnets
I. Sacred songs, Battle anthems
J. Philosophical dialogues, Comedy sketches
Answer: C
Who was the earliest performer of the recorded pipa piece "Chu Han"?

Options:
A. Liu Tianhua
B. Li Fangyuan
C. Yang Yinliu
D. Chen Changlin
E. Tang Yingzeng
F. Wang Yuting
G. Wu Jinglue
H. Sun Wenyan
I. Ma Jinfeng
J. Hua Yanjun
Answer: E
Which writer titled their collection of essays "Xiao Xu Ji" to express their ambition of "benefiting the world"? This writer was a prominent prose author in the early Song Dynasty.

Options:
A. Zhang Zai
B. Wang Yucheng
C. Su Shi
D. Yan Yu
E. Fan Zhongyan
F. Shen Kuo
G. Liu Zongyuan
H. Li Qingzhao
I. Ouyang Xiu
J. Zhou Dunyi
Answer: B
Among the pre-Qin philosophical works, the one that cites the most myths is ( ), which claims to contain \"nineteen allegories,\" some of which are actually myths.

Options:
A. "Zhuangzi"
B. "Xunzi"
C. "Mozi"
D. "Mencius"
E. "Han Feizi"
F. "Liezi"
G. "Laozi"
H. "The Analects"
I. "Yijing"
J. "Guanzi"
Answer: A
The differences in divergent thinking abilities mainly manifest as differences in why( ).

Options:
A. Analysis
B. Memory
C. Creativity
D. Intelligence
E. Knowledge
F. Logic
G. Perception
H. Understanding
I. Reasoning
J. Imagination
Answer: J
Which company produced the representative left-wing film 'Children of the Storm'( ).

Options:
A. Huaguang
B. Tianma
C. Lianhua
D. Longma
E. Xinhua
F. Celebrity
G. Chunlian
H. Yihua
I. Diantong
J. Minxin
Answer: I
_______ is the founder of the Neapolitan opera school in the Baroque period;

Options:
A. Francesco Cavalli
B. Alessandro Stradella
C. Domenico Scarlatti
D. Giovanni Battista Pergolesi
E. Provenzale
F. Antonio Vivaldi
G. Giovanni Legrenzi
H. Alessa;ndro Scala
I. Palestrina
J. Claudio Monteverdi
Answer: E
The typical form of Italian comic opera is _______.

Options:
A. Italian overture + aria + recitative + dialogue
B. Italian overture + duet + recitative + chorus
C. aria + duet + recitative + chorus
D. Italian overture + aria + duet + chorus
E. Italian overture + aria + duet + recitative
F. aria + recitative + dialogue + chorus
G. aria + duet + recitative + dialogue
H. aria + recitative + duet + chorus
Answer: E
The music section ends with the dominant chord of the main key and ends with a half cadence of the harmony, which is called _______.

Options:
A. Incomplete cadence
B. Open music section
C. Interrupted section
D. Transitional section
E. Preliminary section
F. Half section
G. Closed section
H. Unresolved cadence
I. Progressive cadence
J. Suspended cadence
Answer: B
What's the aesthetic characteristics of film art?

Options:
A. Simplistic and Rigid; Fragmentation and Stagnation; Surrealism and Individuality
B. Exaggeration and Theatricality; Lack of Depth and Variety; Narrative and Simplification
C. Comprehensiveness and Technicality; Formability and Mobility; Realism and Conventionality
D. Clarity and Order; Discomfort and Disarray; Conventionalism and Amateurism
E. Simplicity and Conformity; Dynamism and Fluidity; Traditionalism and Authenticity
F. Ambiguity and Chaos; Obscurity and Flatness; Minimalism and Detachment
G. Consistency and Precision; Randomness and Inconsistency; Originality and Complexity
H. Complexity and Anarchy; Tranquility and Monotony; Symbolism and Inaccessibility
I. Uniformity and Stereotype; Fixed and Unchanging; Innovation and Fluidity
J. Completeness and Uniformity; Static and Predictable; Expressionism and Modernity
Answer: C
"Man with a Movie Camera" is ____'s representative work.

Options:
A. Vertov
B. Pudovkin
C. Welles
D. Lang
E. Eisenstein
F. Dovzhenko
G. Hitchcock
H. Renoir
I. Chaplin
J. Dziga Vertov
Answer: J
What is the title of the 2000 film directed by Zhang Yimou that won the Grand Jury Prize at Cannes?

Options:
A. Ascend the Crimson Tower
B. Hero Beyond the Horizon
C. Lift the Scarlet Veil
D. March of the Red Leaves
E. Curse of the Golden Flower
F. The Story of Qiu Ju
G. Journey to the West Fields
H. Raise the Red Lantern
I. To Live Fancy Pavilion
J. House of Flying Daggers
Answer: H
Which 2007 film by director Zhang Yimou explores the story of a group of warriors defending a remote village?

Options:
A. The Secret of the Mountain Guardians
B. The Flight of the Autumn Petals
C. The Tale of the Crimson Lotus
D. The House of Flying Daggers
E. The Path of the Dragon Sword
F. The Curse of the Golden Flower
G. The Legend of the Black Scorpion
H. The Mystery of the Jade Empire
I. The Wrath of the Jade Phoenix
J. The Shadow of the Silk Road
Answer: F
Which film by director Zhang Yimou depicts the life of a famous Chinese opera performer?

Options:
A. Red Sorghum
B. Coming Home
C. Tears of the Black Tiger
D. Raise the Red Lantern
E. The Great Wall
F. The Flowers of War
G. Heroes of the East
H. House of Flying Daggers
I. The Shadow
J. Curse of the Golden Flower
Answer: F
Which film directed by Tsui Hark is known for its blend of historical and fantasy elements?

Options:
A. The Story of the Celestial Knight
B. The Enigma of the Phantom
C. The Legend of the Swordsman
D. The Saga of the Mystic Realm
E. The Tale of the Ancient Warrior
F. The Myth of the Dragon King
G. The Legend of the Heavenly General
H. The Lore of the Forbidden Empire
I. The Chronicles of the Shadowed Sword
J. The Fable of the Eternal Guardian
Answer: C
Which 2017 film by director Zhang Yimou depicts a heroic defense of a city during the Japanese invasion?

Options:
A. The Silent Fortress
B. The Eastern Shield
C. The Guarded City
D. The Great Wall
E. The Mighty Defense
F. The Defiant Wall
G. The Last Stand
H. The Mighty Barrier
I. The Heroic Siege
J. The Brave City
Answer: D
Which film by director Zhang Yimou features a story about a young girl's experience in revolutionary China?

Options:
A. Shadow
B. Curse of the Golden Flower
C. Raise the Red Lantern
D. To Live
E. The Great Wall
F. Hero
G. House of Flying Daggers
H. The Story of Qiu Ju
I. The Road Home
J. Coming Home
Answer: I
During which dynasty did the practice of creating intricate cloisonné enamel work become prominent?

Options:
A. Liao Dynasty
B. Zhou Dynasty
C. Yuan Dynasty
D. Han Dynasty
E. Xia Dynasty
F. Ming Dynasty
G. Tang Dynasty
H. Song Dynasty
I. Qin Dynasty
J. Shang Dynasty
Answer: F
Which famous Chinese philosopher is associated with the development of Chinese calligraphy?

Options:
A. Qin Shi Huang
B. Mozi
C. Wang
D. Zhuangzi
E. Han Fei
F. Laozi
G. Sun Tzu
H. Mencius
I. Confucius
J. Xunzi
Answer: I
The intricate designs of "Jingtailan" porcelain are characteristic of which dynasty?

Options:
A. Xia Dynasty
B. Liao Dynasty
C. Song Dynasty
D. Han Dynasty
E. Qing Dynasty
F. Sui Dynasty
G. Jin Dynasty
H. Tang Dynasty
I. Yuan Dynasty
J. Ming Dynasty
Answer: E
The "Ningbo" porcelain is associated with which Chinese dynasty?

Options:
A. Han Dynasty
B. Song Dynasty
C. Ming Dynasty
D. Zhou Dynasty
E. Yuan Dynasty
F. Qing Dynasty
G. Sui Dynasty
H. Shang Dynasty
I. Jin Dynasty
J. Tang Dynasty
Answer: F
How did wind and percussion instruments rise in ancient Chinese music? What are its main forms of expression?

Options:
A. It merges historical arts primarily focusing on wind and percussion instruments, plus vocal integration. In the tube blowing style, cymbals and cornets are dominant; in the mallet blowing style, ocarinas and drums are essential.
B. It promotes a variety of practices, emphasizing wind and percussion devices. In orchestral settings, trumpets and cymbals are crucial; in chamber groups, flutes and tambourines are significant.
C. It represents a cultural movement, combining wind and percussion sounds with dance. In folk festivals, oboes and cymbals prevail; in modern ensembles, trumpets and maracas are utilized.
D. It includes both traditional and contemporary styles, where brass and woodwinds lead the performances. In concert bands, trumpets and timpani dominate; in jazz bands, saxophones and bass drums are key.
E. It is defined by popular and ceremonial roles where flutes and drums often lead. In military parades, bugles and bass drums are central; in operatic pieces, piccolos and timpani are prominent.
F. It blends ancient techniques mostly involving wind and percussion arts, alongside vocal contributions. In fan blowing genre, gongs and bugles lead; in stick tapping genre, pipes and drums take precedence.
G. It fuses ancient performance styles heavily featuring wind and percussion components, often incorporating dance. In open-air displays, tambourines and bugles take center stage; in intimate settings, clarinets and tablas are utilized.
H. It integrates historical and cultural elements, involving wind and percussion components. In the vertical blowing style, xylophones and clarinets are common; in the drum tapping style, trumpets and drums lead.
I. It involves traditional and modern methods, focused on wind and percussion elements. A symphony orchestra uses clarinets and xylophones; a marching band uses piccolos and snare drums.
J. It is an art form mainly featuring wind and percussion instruments, with singing also included. In the horizontal blowing style, drums and horns are the primary instruments; in the drum blowing style, flutes and sheng are the main instruments.
Answer: J
Who was called by Yuan Hongdao as the "Sage of the Eight Methods of Dispersal and the Chivalrous Guest of the Character Forest"?

Options:
A. Fu Shan
B. Bai Juyi
C. Wang Duoduo
D. Qianlong Emperor
E. Zhang Ruitu
F. Wang Anshi
G. Lin Yutang
H. Lu Xun
I. Xu Wei
J. Liu Zongyuan
Answer: I
When was the Cizhou Kiln at its peak?

Options:
A. Sui Dynasty
B. Qi Dynasty
C. Tang Dynasty
D. Jin Dynasty
E. Ming Dynasty
F. Liao Dynasty
G. Zhou Dynasty
H. Han Dynasty
I. Song Dynasty
J. Yuan Dynasty
Answer: D
In Spain, who is the most outstanding representative figure of the Renaissance?

Options:
A. Cervantes, Vega
B. Picasso, Miro
C. El Greco, Zurbaran
D. Albeniz, Falla
E. Gaudi, Sorolla
F. Bécquer, Unamuno
G. Lorca, Machado
H. Murillo, Ribera
I. Calderon, Lope
J. Goya, Velazquez
Answer: A
What are the French Romanticism drama works?

Options:
A. "Julie", "Eugenie", "Antony"
B. "Oswald", "Charles VII and His Nobles", "Gerald at Grunwald"
C. "Mistral", "Hernani", "The Corsair"
D. "Cyril", "Amelie", "The Conqueror"
E. "Eugene", "Louise", "The Buccaneers"
F. "Raoul", "Lucile", "The Brigands"
G. "Onani", "Henry III and His Court", "Roland at Roncesvalles"
H. "Rosalie", "Ralph", "The Prisoner"
I. "Valmont", "Louis IX and His Courtiers", "Roland in Venice"
J. "Orlando", "Francis I and His Circle", "Roland in Ardenne"
Answer: G
How to Understand Music and the Worship of God?

Options:
A. The beginning stage of primordial Chinese music is deeply woven into the spiritual practices, ancestral rites, and ancient narratives. Originally, the term "tune" arises from "tun".
B. The earliest roots of Roman music are extensively linked with the devotion to their deities, epic tales, and mythical creatures. Linguistically, the term "melody" comes from "melos".
C. The first era of ancient Greek music is closely linked with the homage to gods, legendary stories, and various mystical legends. Etymologically, the word "music" comes from "muse".
D. The initial stages of ancient Greek music are deeply involved with the worship of titans, classic tales, and mythical entities. Terminologically, the word "harmony" derives from "harmos".
E. The initial development of ancient Egyptian music is closely tied with the rites of Pharaohs, sacred ceremonies, and traditional folklore. Historically, the word "song" stems from "sang". In Egyptian stories, Sang relates to the three
F. The earliest history of ancient Greek music is intricately intertwined with the worship of gods, mythology, and various fantastical legends. Etymologically, the word "music" originates from "muse".
G. The ancient origins of Babylonian music are heavily involved with celestial worship, astrological myths, and legendary tales. Linguistically, the word "rhythm" springs from "rhein".
H. The foundation of medieval Spanish music is tightly connected with religion, focusing on the divine rites of passages. Culturally, the term "harmony" derives from "harmos".
I. The initial period of ancient Greek music is tightly interwoven with the reverence for gods, mythological tales, and diverse incredible legends. Etymologically, the word "music" derives from "muse".
J. The primeval beginnings of Norse music are profoundly entwined with the worship of demigods, folklore, and extraordinary myths. Terminologically, the word "acoustics" comes from "akouein".
Answer: F
What is Shibule?

Options:
A. The six ancient capitals known during the reign of Emperor Taizong of the Tang dynasty. They include: Chang'an, Luoyang, Nanjing, Beijing, Kaifeng, Hangzhou.
B. The eight mystical animals revered during the reign of Emperor Taizong of the Tang dynasty. They include: Qilin, Baihu, Zhenwu, Fenghuang, Luwu.
C. The ten ancient dances showcased during the festivities of Emperor Taizong of the Tang dynasty. They include: Yanyue, Wudao, Changxi, Baimu, Qingshi.
D. The nine sacred scriptures translated under the supervision of Emperor Taizong of the Tang dynasty. They include: Daodejing, Heart Sutra, Diamond Sutra, Lotus Sutra, Pure Land.
E. The nine famous theaters utilized during the era of Emperor Taizong of the Tang dynasty. They include: Shinju, Longyuan, Tianxia, Huayi, Mingcheng.
F. The seven eminent scholars who taught at the academy during the reign of Emperor Taizong of the Tang dynasty. They include: Zhangsi, Menglin, Juju, Hangtian, Xingjian.
G. The eleven martial arts schools originated during the era of Emperor Taizong of the Tang dynasty. They include: Shaoshi, Wudangji, Qingyangji, Elderfist, Thousandhands.
H. The ten musical styles were already present during the period of Emperor Taizong of the Tang dynasty. They include: Guoji (also known as Xiliangji), Qingshangji, Goryeo, Tianzhuji, Anguo.
I. The five royal garments used exclusively in the court of Emperor Taizong of the Tang dynasty. They include: Hansan, Biejia, Fugui, Liangyi, Qinming.
J. The ten critical battles fought during the reign of Emperor Taizong of the Tang dynasty. They include: Talas, Dafeichuan, Baijiangkou, Yinchuan, Loulan.
Answer: H
The climatic snow line is the____of perennial snow distribution determined by the climate.

Options:
A. central peak
B. lowest depth
C. outer edge
D. maximum extent
E. upper boundary
F. inner core
G. highest point
H. lower limit
I. deepest layer
J. greatest reach
Answer: H
The average thickness of the Earth's crust is about ___ km, but the thickness varies greatly from place to place.

Options:
A. 32.8
B. 21.7
C. 36.2
D. 40.5
E. 15.3
F. 19.6
G. 12.1
H. 24.4
I. 55.7
J. 28.9
Answer: H
____ is the specific manifestation of zonal laws on the surface of the Earth, which appears as the natural geographic elements or natural complexes generally extending along the latitude lines, arranged regularly according to latitude, resulting in a north-south differentiation.

Options:
A. Horizontal patterning
B. Longitudinal nature
C. Climatic synchronization
D. Latitudinal grading
E. Latitudinal symmetry
F. Equatorial disparity
G. Meridional difference
H. Vertical zoning
I. Polar synchronization
J. Zonal nature
Answer: J
_____ refers to the difference between the ground radiation E_ground and the atmospheric radiation absorbed by the ground E_atmosphere.

Options:
A. General atmospheric emission
B. Integrated solar output
C. Localized radiation imbalance
D. Direct surface reflection
E. Effective ground radiation
F. Net atmospheric absorption
G. Ambient thermal radiation
H. Cumulative energy disparity
I. Differential energy manifestation
J. Total solar irradiance
Answer: E
The continental shelf refers to the gentle incline that naturally extends below the____ from the edge of a continent, with its width varying from extremely narrow or even absent to more than a thousand kilometers.

Options:
A. river bank
B. mountain base
C. tectonic boundary
D. coastal line
E. forest limit
F. sand barrier
G. glacier edge
H. ocean floor
I. sea surface
J. beachfront area
Answer: I
______ areas are collectively referred to as mountain ranges, valleys between mountains, and basins among mountains, and are formed by external forces cutting against a backdrop of rising earth crust.

Options:
A. Rocky
B. Highland
C. Hilly
D. Lowland
E. Flat
F. Plateau
G. Upland
H. Terrain
I. Elevated
J. Mountainous
Answer: J
In the rock (soil) mass, there are slip planes composed of interfaces such as bedding planes, cleavage planes, joint planes, fault planes, the boundaries of depositional layers, and the top and bottom surfaces of______.

Options:
A. mineral extraction sites
B. underground water bodies
C. volcanic eruption paths
D. subsurface soil layers
E. water filtration areas
F. atmosphere pressure zones
G. subterranean water systems
H. sediment compactation levels
I. geological formation boundaries
J. groundwater aquifers
Answer: J
In areas with strong leaching effects, the deposition clayization has the dual function of both residual clayization and ___ clayization.

Options:
A. biological
B. chemical
C. mechanical
D. hydrological
E. erosional
F. transformational
G. depositional
H. sedimentary
I. transitional
J. mineralogical
Answer: G
___are small celestial bodies that orbit the sun along ___ trajectories.

Options:
A. Comets; circular
B. Stars; elliptical
C. Meteors; parabolic
D. Asteroids; circular
E. Satellites; elliptical
F. Meteors; circular
G. Moons; circular
H. Planets; hyperbolic
I. Asteroids; elliptical
J. Comets; elliptical
Answer: I
The____ is a relatively stable area formed by the transformation of a geosyncline after it has risen and returned.

Options:
A. ridge
B. valley
C. plateau
D. delta
E. fjord
F. escarpment
G. basin
H. trench
I. archipelago
J. platform
Answer: J
The ancient Indian "Rigveda": "I am a poet, my father practices medicine, my mother grinds grain with a stone mill; each has their own pursuits, all in search of wealth and blessings, just like herding cattle in search of grass, not limited to one place for food." What does this reflect about the situation in India at that time?

Options:
A. The society followed a nomadic lifestyle.
B. Educational attainment dictated social roles.
C. Social hierarchy is based on religious affiliation.
D. Family background determines an individual's status.
E. Different races enjoy different rights
F. Trade and commerce were the primary sources of wealth.
G. Caste aligns with the division of labor in society
H. The hereditary system of professions has not yet formed.
I. Gender roles were strictly defined and unchangeable.
J. Political power was centralized in a single authority.
Answer: H
Which of the following statements can reflect that the "Declaration of Independence" is "a great historical document"?

Options:
A. Marks the establishment of the United States federal nation.
B. A blueprint for modern democratic governance
C. A declaration of economic rights for all citizens
D. A manifesto for environmental protection
E. Proclaimed the emancipation of black slaves
F. The product of the spirit of the Declaration of Human Rights.
G. The First Human Rights Declaration in History
H. The foundation for the United Nations Charter
I. An early example of international law
J. The first document to advocate for women's suffrage
Answer: G
The early culture of the Indus River Basin is referred to as ( ).

Options:
A. Harlev Culture
B. Niega Culture
C. Chalcolithic Culture
D. Indus Valley Civilization
E. Sarasvati Culture
F. Vedic Culture
G. Gupta Culture
H. Mohenjo-Daro Culture
I. Harappa Culture
J. Obeid Culture
Answer: I
Napoleon's Empire was once at its peak in Europe, but this strength was only superficial. What was the main reason for this?

Options:
A. Resistance from the Catholic Church
B. Economic instability within the empire
C. The occupied areas are too numerous, making them difficult to govern.
D. Insufficient technological advancements in warfare
E. Lack of a strong naval presence
F. National awakening in occupied territories
G. Over-reliance on alliances with unstable countries
H. The Bourbon Dynasty seeks to restore its rule
I. Internal conflicts among Napoleon's generals
J. The resurgence of feudal forces in Europe
Answer: F
To stop the Iran-Iraq War, the United Nations Security Council passed a resolution in July 1987. What happened after the resolution was passed?

Options:
A. Iraq refused to accept and continued its offensive
B. The United Nations sent peacekeeping troops to the region
C. Iran requested additional amendments before agreeing
D. Iran-iraq ceasefire and direct negotiations
E. Iraq proposed a new peace treaty to Iran
F. Both nations increased their recruitment efforts
G. Iran refused to accept, and Iraqi forces once again entered Iranian territory
H. The resolution was rejected by both nations
I. Iranian forces have again pushed into Iraq
J. Both sides immediately accepted and ceased all hostilities
Answer: G
The goal of original diplomacy is to shift Japanese diplomacy from past confrontations with ( ) to coordination.

Options:
A. China
B. Germany
C. Italy
D. France
E. United States
F. Soviet Union
G. Canada
H. United Kingdom
I. India
J. UK and US
Answer: J
What was the fundamental purpose of the Xinhai Revolution?

Options:
A. Develop agriculture and increase food production
B. Increase foreign trade with neighboring countries
C. Create conditions for the development of national capitalism
D. Establish a democratic republic and let the people enjoy democracy and freedom
E. Overthrowing the imperialist forces of aggression in China
F. Modernize China's education system
G. Strengthen China's military power
H. Promote cultural exchange with the West
I. Overthrowing the Manchu aristocracy in the Qing Dynasty
J. Expand China's territory
Answer: C
As the Second Industrial Revolution progresses, what are the biggest changes taking place in the industrial structure of the major capitalist countries?

Options:
A. The decline of urbanization and city development
B. Heavy industry came to dominate
C. Agriculture overtook industry in economic importance
D. Great progress has been made in the transportation industry
E. The rise of small-scale artisanal workshops
F. The dominance of the mining industry over manufacturing
G. The textile industry became the primary focus
H. Communications and chemical industries began to be established
I. The development of the electric power industry is the most prominent
J. The resurgence of manual labor over mechanization
Answer: B
Who invented artificial fibers in 1884?

Options:
A. Heit
B. Renault
C. Lavoisier
D. Curie
E. Nobel
F. Pasteur
G. Tyro
H. Lumière
I. St. Chardon
J. Dupont
Answer: I
Italian unification differed from German unification in ().

Options:
A. The most economically powerful state or kingdom takes the lead
B. Immediate industrial revolution following unification
C. The final exclusion of external forces to achieve unification
D. After reunification, the country embarked on the path of capitalist development
E. The use of a centralized authoritarian system throughout the process
F. Differing religious influences on political structures
G. The popular uprising gave a great impetus to unification
H. Variation in the colonial aspirations post-unification
I. Involvement of non-European entities in negotiating terms
J. Dominance of a single political party post-unification
Answer: G
In the mid-19th century, where were the world's national liberation movements concentrated?

Options:
A. Europe
B. Southeast Asia
C. Australia
D. Africa
E. Central Europe
F. Asia
G. Latin America
H. North America
I. Middle East
J. Antarctica
Answer: F
What was the greatest impact of the first Industrial Revolution on international relations?

Options:
A. Development of global telecommunications networks
B. World wide emphasis on agricultural advancement was increased
C. Increased cultural exchanges and cooperation between European nations
D. Decrease in reliance on human labor for heavy equipment operation
E. Britain dominated the world economy and colonial hegemony
F. Major advancements in military technology led Europe to global dominance
G. The world capitalist system has taken shape
H. The wave of bourgeois revolution and reform broke out in Europe and the United States
I. Spread of industrial technology to non-European countries rapidly
J. The contradiction between Britain and America has become the principal contradiction between imperialism
Answer: G
The general solution of the equation $( x+y ) ( \mathrm{d} x-\mathrm{d} y )=\mathrm{d} x+\mathrm{d} y$ is ( )?

Options:
A. $$
x-3y-\operatorname{l n} (2 x+3y )=C \ .
$$
B. $$
x-y-\operatorname{l n} ( x+y )=C \ .
$$
C. $$
3x-2y-\operatorname{l n} ( 2x+3y )=C \ .
$$
D. $$
2x-2y-\operatorname{l n} ( 2x+y )=C \ .
$$
E. $$
2x-y-\operatorname{l n} ( 2x+y )=C \ .
$$
F. $$
2x-3y-\operatorname{l n} ( 3x+2y )=C \ .
$$
G. $$
2x-y-\operatorname{l n} ( x+2y )=C \ .
$$
H. $$
x-2y-\operatorname{l n} ( x+y )=C \ .
$$
I. $$
x-3y-\operatorname{l n} ( 3x+y )=C \ .
$$
J. $$
2x-y-\operatorname{l n} ( x+y )=C \ .
$$
Answer: B
For $\mathbf{a}$ and $\mathbf{b}$, when the condition ( ) is satisfied, the solution $\mathrm{y}(\mathbf{x})$ of the equation $y^{\prime\prime}+ay^{\prime}+by=0$ as $x \to +\infty$ satisfies the relation $y(x)=o(e^{-x})$.

Options:
A. $2 < \mathrm{b}+1<\mathrm{a}$
B. $-3 < \mathrm{a} < \mathrm{b}<2$
C. $0 >\mathrm{a} > \mathrm{b}+1$
D. $1 < \mathrm{a} < \mathrm{b}+3$
E. $-1 < \mathrm{a} < \mathrm{b}$
F. $2 < \mathrm{a} < \mathrm{b}+1$
G. $2 > \mathrm{a} > \mathrm{b}-1$
H. $2> \mathrm{a} >\mathrm{b}-3$
I. $-3 < \mathrm{a} < \mathrm{b}-1<2$
J. $\mathrm{a} < \mathrm{b}+4<0$
Answer: F
Given the equation
$$
(y+x^3y+2x^2)\,dx + (x+4xy^4+8y^3)\,dy = 0
$$
the general integral of this equation is ().

Options:
A. $$
x^{3}+3 y^{4}+6 \mathrm{l n} \mid2+x y \mid=3 C
$$
B. $$
x^{3}+3 y^{4}+3 \mathrm{l n} \mid2+x y \mid=3 C
$$
C. $$
x^{2}+5 y^{4}+3 \mathrm{l n} \mid2+x y \mid=3 C
$$
D. $$
x^{3}+3 y^{4}+3 \mathrm{l n} \mid2+2x y \mid=2C
$$
E. $$
x^{2}+3 y^{2}+3 \mathrm{l n} \mid2+x y \mid=3 C
$$
F. $$
x^{4}+2 y^{4}+3 \mathrm{l n} \mid2+x y \mid=3 C
$$
G. $$
x^{3}+3 y^{3}+4 \mathrm{l n} \mid2+x y \mid=3 C
$$
H. $$
x^{4}+3 y^{4}+5 \mathrm{l n} \mid2+x y \mid=3 C
$$
I. $$
x^{3}+3 y^{2}+3 \mathrm{l n} \mid2+x y \mid=3 C
$$
J. $$
x^{2}+3 y^{4}+3 \mathrm{l n} \mid2+x y \mid=3 C
$$
Answer: B
The general solution of the equation $y' \sec^2 y - \sec^2 y - 1 = 0$ is ( ).

Options:
A. $$\frac{1}{\sqrt{3}} \arctan \frac{\tan y}{\sqrt{3}}=x+C, (C \text{ is an arbitrary constant})$$
B. $$\frac{1}{\sqrt{2}} \arctan \frac{\sin y}{\sqrt{2}}=x+C, (C \text{ is an arbitrary constant})$$
C. $$\frac{1}{\sqrt{2}} \arctan \frac{\tan x}{\sqrt{2}}=x+C, (C \text{ is an arbitrary constant})$$
D. $$\frac{1}{\sqrt{2}} \arctan \frac{\cot y}{\sqrt{2}}=x+C, (C \text{ is an arbitrary constant})$$
E. $$\frac{1}{\sqrt{2}} \arctan \frac{\cos y}{\sqrt{2}}=x+C, (C \text{ is an arbitrary constant})$$
F. $$\frac{1}{\sqrt{2}} \arctan \frac{\tan x}{\sqrt{2}}=y+C, (C \text{ is an arbitrary constant})$$
G. $$\frac{1}{\sqrt{2}} \arctan \frac{\csc y}{\sqrt{2}}=x+C, (C \text{ is an arbitrary constant})$$
H. $$\frac{1}{\sqrt{2}} \arctan \frac{\sec y}{\sqrt{2}}=x+C, (C \text{ is an arbitrary constant})$$
I. $$\frac{1}{\sqrt{2}} \arctan \frac{\tan y}{\sqrt{2}}=x+C, (C \text{ is an arbitrary constant})$$
Answer: I
If the first-order differential equation $y M ( x, y ) \mathrm{d} x+x^{3} \mathrm{e}^{y} \mathrm{d} y=0$ has the integrating factor $\mu={\frac{1} {x^{2}}}$,Then $( \mathbf{x}, \mathbf{y} )=$______.

Options:
A. $\frac{1}{x}[y^{z}e^{x} + \phi(y)]$, where $\phi(y)$ is any arbitrary continuous differentiable function of $y$.
B. $\frac{1}{y}[x^{z}e^{y} + \theta(x)]$, where $\theta(x)$ is a non-differentiable function of $x$.
C. $\frac{1}{x}[x^{z}e^{y} + \psi(y)]$, where $\psi(y)$ is any arbitrary continuous differentiable function of $y$.
D. $\frac{1}{y}[x^{z}e^{y} + \varphi(x)]$, where $\varphi(x)$ is any arbitrary continuous differentiable function of $x$.
E. $\frac{1}{y}[x^{z}e^{x} + \chi(y)]$, where $\chi(y)$ is any arbitrary continuous differentiable function of $y$.
F. $\frac{1}{y}[y^{z}e^{x} + \varphi(x)]$, where $\varphi(x)$ is any arbitrary continuous differentiable function of $x$.
G. $\frac{1}{x}[y^{z}e^{y} + \xi(y)]$, where $\xi(y)$ is any arbitrary continuous differentiable function of $y$.
H. $\frac{1}{x}[y^{z}e^{y} + \chi(x)]$, where $\chi(x)$ is any arbitrary continuous differentiable function of $x$.
I. $\frac{1}{y}[x^{z}e^{y} + \xi(x)]$, where $\xi(x)$ is a constant function of $x$.
J. $\frac{1}{y}[x^{z}e^{y} + \phi(x)]$, where $\phi(x)$ is a non-arbitrary discontinuous function of $x$.
Answer: D
Given that the curve $\mathbf{y}=\mathbf{y} \quad(\mathbf{x})$passes through the origin and the tangent to the origin is parallel to the line $2 \mathbf{x}-\mathbf{y}-5=0$, While $\mathrm{y^{\prime\prime}-6 y^{\prime}+9 y=e^{3 x}}$, $\mathbf{y}$ (x) is equal to ().

Options:
A. $$\mathrm{x} \ ( \mathrm{x}+3 ) \ \ \mathrm{e}^{3 \pi} / 2$$
B. $$\mathrm{x} \ ( \mathrm{x}+9 ) \ \ \mathrm{e}^{3 \pi} / 2$$
C. $$\mathrm{x} \ ( \mathrm{x}+7 ) \ \ \mathrm{e}^{3 \pi} / 2$$
D. $$\mathrm{x} \ ( \mathrm{x}+5 ) \ \ \mathrm{e}^{3 \pi} / 2$$
E. $$\mathrm{x} \ ( \mathrm{x}+4 ) \ \ \mathrm{e}^{3 \pi} / 2$$
F. $$\mathrm{x} \ ( \mathrm{x}+10 ) \ \ \mathrm{e}^{3 \pi} / 2$$
G. $$\mathrm{x} \ ( \mathrm{x}+8 ) \ \ \mathrm{e}^{3 \pi} / 2$$
H. $$\mathrm{x} \ ( \mathrm{x}+1 ) \ \ \mathrm{e}^{3 \pi} / 2$$
I. $$\mathrm{x} \ ( \mathrm{x}+2 ) \ \ \mathrm{e}^{3 \pi} / 2$$
J. $$\mathrm{x} \ ( \mathrm{x}+6 ) \ \ \mathrm{e}^{3 \pi} / 2$$
Answer: E
Known$\mathbf{y}=\mathbf{x} / \mathrm{l n x}$ is the solution of differential equation $\mathbf{y}^{\prime}=\mathbf{y} / \mathbf{x}+\varphi\ \ ( \mathbf{x} / \mathbf{y} )$, then $( \mathbf{x} / \mathbf{y} )$ expression for ().

Options:
A. $$- \mathrm{y}^{2} / \mathrm{x}^{2}$$
B. $$- \mathrm{x}^{2} / \mathrm{y}$$
C. $$
\mathbf{y}^{2} / \mathbf{x}^{2}
$$
D. $$\mathrm{y}^{2} / \mathrm{x}^{3}$$
E. $$- \mathrm{x}^{2} / \mathrm{y}^{2}$$
F. $$\mathrm{x}^{2} / \mathrm{y}^{2}$$
G. $$\mathrm{y} / \mathrm{x}^{2}$$
H. $$\mathrm{y}^{3} / \mathrm{x}^{2}$$
I. $$\mathrm{x} / \mathrm{y}^{2}$$
J. $$\mathrm{y} / \mathrm{x}$$
Answer: A
Known series $2+\sum_{n=1}^{\infty} \frac{x^{2 n}} {( 2 n )!} \big( x \in R \big)$sum function y (x) is the solution of the differential equation $\mathrm{y}^{\prime\prime}-\mathrm{y}=-1$, Then $\mathrm{\ y ~} (\mathrm{x}) \ =$().

Options:
A. $$1+\mathrm{s i n x}$$
B. $$2+\mathrm{s h x}$$
C. $$1+\mathrm{c h x}$$
D. $$1-\mathrm{s h x}$$
E. $$2+\mathrm{s i n x}$$
F. $$2+\mathrm{c o s x}$$
G. $$1-\mathrm{c h x}$$
H. $$2+\mathrm{c h x}$$
I. $$1+\mathrm{s h x}$$
J. $$1+\mathrm{c o s x}$$
Answer: C
The differential equation satisfied by the curve defined by the following conditions is ( ):
The normal line at point $P \ ( x, y )$ on the curve intersects the $x$-axis at point $Q$, And the line segment $P Q$is bisected by the $y$axis.

Options:
A. $$2x y^{\prime} - 3 y = 3$$
B. $$3x y^{\prime} - 2 y = 0$$
C. $$y y^{\prime}+2 x=0$$
D. $$x y^{\prime} - 2 y = 0$$
E. $$x y^{\prime} - 2 y = 2$$
F. $$x y^{\prime} + 2 x = 0$$
G. $$x y^{\prime} - 6 y = 0$$
H. $$y x^{\prime}-2 y = 0$$
I. $$x y^{\prime} +2 y = 2$$
J. $$y^2 y^{\prime} + x = 0$$
Answer: C
Find the general solution of the following Bernoulli equation as () :
$$
\frac{\mathrm{d} y} {\mathrm{d} x}+y=y^{2} \left( \operatorname{c o s} x-\operatorname{s i n} x \right).
$$

Options:
A. $$y^{-1}=C e^{x}-\cos x, \text{where } C \text{ is an arbitrary constant}$$
B. $$y^{-1}=C e^{x}+\sin x, \text{where } C \text{ is an arbitrary constant}$$
C. $$y^{-1}=C e^{x}+\cos 2x, \text{where } C \text{ is an arbitrary constant}$$
D. $$y^{-1} = C e^{2x} - \sin x, \text{where } C \text{ is an arbitrary constant}$$
E. $$y^{-1}=C e^{3x}-\sin 2x, \text{where } C \text{ is an arbitrary constant}$$
F. $$y^{-1}=C e^{3x}-\sin x, \text{where } C \text{ is an arbitrary constant}$$
G. $$y^{-1} = C e^x + \cos x, \text{where } C \text{ is an arbitrary constant}$$
H. $$y^{-1}=C e^{x}-\sin x, \text{where } C \text{ is an arbitrary constant}$$
I. $$y^{-1} = C e^{2x} + \cos x, \text{where } C \text{ is an arbitrary constant}$$
J. $$y^{-1} = C e^{x} + \tan x, \text{where } C \text{ is an arbitrary constant}$$
Answer: H
The following differential equations are known to satisfy the given initial value conditions:
$$
\left\{\begin{matrix} {{\frac{\mathrm{d} x} {\mathrm{d} t}=y,}} & {{x \Big|_{t=0}=0,}} \\ {{\frac{\mathrm{d} y} {\mathrm{d} t}=-x,}} & {{y \Big|_{t=0}=1.}} \\ \end{matrix} \right..
$$
The equation special solution can be define as _____.

Options:
A. $$\left\{\begin{matrix} {{x=\operatorname{c o s} t,}} \\ {{y=-2\operatorname{s i n} 3t.}} \\ \end{matrix} \right.$$
B. $$\left\{\begin{matrix} {{x=\operatorname{c o s} t,}} \\ {{y=-\operatorname{s i n} 2t.}} \\ \end{matrix} \right.$$
C. $$\left\{\begin{matrix} {{x=\operatorname2{c o s} t,}} \\ {{y=-\operatorname{s i n} t.}} \\ \end{matrix} \right.$$
D. $$\left\{\begin{matrix} {{x=\operatorname{c o s} t,}} \\ {{y=-\operatorname{s i n} t.}} \\ \end{matrix} \right.$$
E. $$\left\{\begin{matrix} {{x=\operatorname{s i n} t,}} \\ {{y=\operatorname{c o s} t.}} \\ \end{matrix} \right.$$
F. $$\left\{\begin{matrix} {{x=\operatorname2{c o s} 2t,}} \\ {{y=-\operatorname{s i n} t.}} \\ \end{matrix} \right.$$
G. $$\left\{\begin{matrix} {{x=\operatorname{c o s} 2t,}} \\ {{y=-\operatorname{s i n} t.}} \\ \end{matrix} \right.$$
H. $$\left\{\begin{matrix} {{x=\operatorname{c o s} t,}} \\ {{y=-\operatorname2{s i n} 2t.}} \\ \end{matrix} \right.$$
I. $$\left\{\begin{matrix} {{x=\operatorname{c o s} t,}} \\ {{y=-2\operatorname{s i n} t.}} \\ \end{matrix} \right.$$
J. $$\left\{\begin{matrix} {{x=\operatorname{c o s}3 t,}} \\ {{y=-\operatorname{s i n} 2t.}} \\ \end{matrix} \right.$$
Answer: E
Let $y_{1}$ and $y_{2}$ be two special solutions of the first-order linear nonhomogeneous differential equation $y^{\prime}+p \left(x \right) y=q \left(x \right)$. If the constant $\lambda, \mu$ is such that $\lambda y_{1}+\mu y_{2}$ is the solution of the equation, and $\lambda y_{1}-\mu y_{2}$ is the solution of the homogeneous equation corresponding to this equation, Is $( \begin{array} {c c} {{}} & {{}} \\ {{}} & {{}} \\ \end{array} )$.

Options:
A. $$\lambda=\frac{1} {7}, \quad\mu=\frac{1} {7}.$$
B. $$\lambda=\frac{3} {8}, \quad\mu=\frac{2} {8}.$$
C. $$\lambda=\frac{1} {5}, \quad\mu=\frac{2} {5}.$$
D. $$\lambda=\frac{1} {3}, \quad\mu=\frac{1} {3}.$$
E. $$\lambda=\frac{2} {7}, \quad\mu=\frac{6} {7}.$$
F. $$\lambda=\frac{1} {2}, \quad\mu=\frac{1} {2}.$$
G. $$\lambda=\frac{1} {5}, \quad\mu=\frac{1} {5}.$$
H. $$\lambda=\frac{1} {4}, \quad\mu=\frac{1} {4}.$$
I. $$\lambda=\frac{1} {6}, \quad\mu=\frac{1} {6}.$$
J. $$\lambda=\frac{2} {7}, \quad\mu=\frac{3} {7}.$$
Answer: F
There is a conical reservoir with a depth of $15$meters and a caliber of $20$ meters, filled with water, and now the water is sucked up by the suction tube. The work that needs to be done is ().

Options:
A. $$ 5. 8 9 \times1 0^{7} \mathrm{J}. $$
B. $$ 5. 7 8 \times1 0^{7} \mathrm{J}. $$
C. $$ 4. 8 9 \times1 0^{7} \mathrm{J}. $$
D. $$ 8. 5 9 \times1 0^{7} \mathrm{J}. $$
E. $$ 5. 8 9 \times1 0^{8} \mathrm{J}. $$
F. $$ 5. 9 8 \times1 0^{7} \mathrm{J}. $$
G. $$ 7. 8 9 \times1 0^{7} \mathrm{J}. $$
H. $$ 6. 8 9 \times1 0^{7} \mathrm{J}. $$
I. $$ 5. 8 9 \times1 0^{6} \mathrm{J}. $$
J. $$ 5. 8 7 \times1 0^{7} \mathrm{J}. $$
Answer: A
Differential equation of $y^{\prime}=\frac{y} {x+( y+1 )^{2}} \ \ ( \ y$ is not a Constant function) as the general solution for ______.

Options:
A. $$ x=y \left( y+5 \operatorname{l n} | y |-\frac{2} {y}+C \right) $$
B. $$ x=y \left( y+2 \operatorname{l n} | y |-\frac{4} {y}+C \right) $$
C. $$ x=y \left( y+ \operatorname{l n} | y |-\frac{1} {y}+C \right) $$
D. $$ x=2y \left( y+5 \operatorname{l n} | y |-\frac{1} {y}+C \right) $$
E. $$ x=y \left( y+4 \operatorname{l n} | y |-\frac{1} {y}+C \right) $$
F. $$ x=y \left( y+2 \operatorname{l n} | y |-\frac{1} {y}+C \right) $$
G. $$ x=y \left( y+3 \operatorname{l n} | y |-\frac{1} {y}+C \right) $$
H. $$ x=y \left( y+5 \operatorname{l n} | y |-\frac{1} {y}+C \right) $$
I. $$ x=y \left( y+2 \operatorname{l n} | y |-\frac{3} {y}+C \right) $$
J. $$ x=3y \left( y+5 \operatorname{l n} | y |-\frac{1} {y}+C \right) $$
Answer: F
A 4.5 ton fighter aircraft starts landing at a speed of $6 0 \mathrm{k m} / h$. After sliding down $5 0 m$ under the action of the parachute, the speed decreases to 100km/ h$. Suppose that the drag of the parachute is proportional to the speed of the aircraft, ignoring other external forces on the aircraft. The drag coefficient of the parachute is (). The length of the runway should be at least ()?

Options:
A. $$k=\frac{3m ( 6 0 0-v )} {x},600 m$$
B. $$k=\frac{m ( 6 0 0-v )} {x},600 m$$
C. $$k=\frac{m ( 6 0 0+v )} {x},800 m$$
D. $$k=\frac{3m ( 6 0 0-2v )} {x},600 m$$
E. $$k=\frac{2m ( 6 0 0-v )} {x},600 m$$
F. $$k=\frac{m ( 6 0 0+v )} {x},700 m$$
G. $$k=\frac{m ( 6 0 0-2v )} {x},700 m$$
H. $$k=\frac{m ( 7 0 0+v )} {x},700 m$$
I. $$k=\frac{2m ( 6 0 0-v )} {3x},600 m$$
J. $$k=\frac{m ( 6 0 0-v )} {x},700 m$$
Answer: B
At $t=0$, the two barrels are each filled with $1 0 L$ of brine, the salt concentration is $1 5 g / \mathrm{L}$, and the pipe is filled with $2 \mathrm{L} / \operatorname* {m i n}$ The purified water is input into the first bucket at the speed of $2 \mathrm{L} / \operatorname* {m i n}$, and the mixed liquid is transported to the second bucket at the speed of $2 \mathrm{L} / \operatorname* {m i n}$, and then the mixed liquid is stirred evenly, and then the $\mathrm{1 L/m i n}$ At any time $t > 0$, the differential equation satisfied by the salt content in the water flowing out of the second bucket is ().

Options:
A. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0+t}=3 0 \mathrm{e}^{-\frac{t} {5}}$$
B. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0+2t}=3 0 \mathrm{e}^{-\frac{t} {5}}$$
C. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0-t}=3 0 \mathrm{e}^{-\frac{t} {5}}$$
D. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0+t}=15 \mathrm{e}^{-\frac{t} {5}}$$
E. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0+3t}=15 \mathrm{e}^{-\frac{t} {5}}$$
F. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0-2t}=3 0 \mathrm{e}^{-\frac{t} {5}}$$
G. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0+2t}=15 \mathrm{e}^{-\frac{t} {5}}$$
H. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0+t}=15 \mathrm{e}^{-\frac{3t} {5}}$$
I. $$ \frac{\mathrm{d} m_{2}} {\mathrm{d} t}+\frac{m_{2}} {1 0+t}=15 \mathrm{e}^{-\frac{2t} {5}}$$
Answer: A