2025年全國新高考I卷真題1卷語文+數(shù)學(xué)+英語試卷(含答案)_第1頁
2025年全國新高考I卷真題1卷語文+數(shù)學(xué)+英語試卷(含答案)_第2頁
2025年全國新高考I卷真題1卷語文+數(shù)學(xué)+英語試卷(含答案)_第3頁
2025年全國新高考I卷真題1卷語文+數(shù)學(xué)+英語試卷(含答案)_第4頁
2025年全國新高考I卷真題1卷語文+數(shù)學(xué)+英語試卷(含答案)_第5頁
已閱讀5頁,還剩94頁未讀 繼續(xù)免費(fèi)閱讀

下載本文檔

版權(quán)說明:本文檔由用戶提供并上傳,收益歸屬內(nèi)容提供方,若內(nèi)容存在侵權(quán),請進(jìn)行舉報或認(rèn)領(lǐng)

文檔簡介

20259150150一、閱讀(72(一)閱讀Ⅰ(5小題,19分答:答:答:答:所謂濕干肥瘠,皆是過分而言。因為過干如經(jīng)發(fā)覺,可以立刻澆灌而使之濕,過濕則不能立刻使下列對原文相關(guān)內(nèi)容的理解和分析,正確的一項是(下列對原文相關(guān)內(nèi)容的分析和評價,不正確的一項是( ①的地方。栽 ②。栽植 ③,過淺又容易發(fā)生倒伏。最后將土填滿,用腳踩實后再澆透(二)閱讀Ⅱ(4小題,16分 關(guān)于文本一中方寶慶這個人物,下列說法不正確的一項是()(三)閱讀Ⅲ(522使我終歲不食葵。鄰人女奔,隨人亡,其家倩吾兄行追之。逢霖水出,溺流而死,令吾終身無兄。兄”之言,[注]春秋末期,宗周王室動蕩,晉強(qiáng)鄭弱。子大叔為鄭國正卿,范獻(xiàn)子為晉國大臣。ABCDEFGH所避乎!下列對材料中加點(diǎn)的詞語及相關(guān)內(nèi)容的解說,不正確的一項是(下列對材料有關(guān)內(nèi)容的概述,不正確的一項是((四)閱讀Ⅳ(2,9下列對這首詩的理解和賞析,不正確的一項是((五)名篇名句默寫(1,6 5小題,18展宏‘兔’(圖)”;電視廣告里,則有“默默無‘蚊’(聞)的奉獻(xiàn)”(蚊香廣告)等有趣的說 的意思不明確,使人()。所以,使用諧音雙關(guān),要注意語言格調(diào)高雅和信息傳遞有效,避免出現(xiàn)上下列填入文中橫線處的句子,銜接最恰當(dāng)?shù)囊豁検?)填入文中第四段括號內(nèi)的詞語,不恰當(dāng)?shù)囊豁検?)A.莫名其 B.無所適 C.大惑不 D.一頭霧800

20259150150一、閱讀(72(一)閱讀Ⅰ(5小題,19分答:答:答:答:所謂濕干肥瘠,皆是過分而言。因為過干如經(jīng)發(fā)覺,可以立刻澆灌而使之濕,過濕則不能立刻使下列對原文相關(guān)內(nèi)容的理解和分析,正確的一項是(下列對原文相關(guān)內(nèi)容的分析和評價,不正確的一項是( ①的地方。栽 ②。栽植 ③,過淺又容易發(fā)生倒伏。最后將土填滿,用腳踩實后再澆透【答案】1. 2.3 4.示例一【1A問三、問十三問十四【2【3【4【5(二)閱讀Ⅱ(4小題,16分 關(guān)于文本一中方寶慶這個人物,下列說法不正確的一項是() 7.①《鼓書藝人》的創(chuàng)作源自作者抗戰(zhàn)時期的親身經(jīng)歷;②文本一的場景再現(xiàn)了作者在戰(zhàn)爭中感受到的人【6行,兩岸有高山峭崖,當(dāng)太陽被峭崖遮擋時就比較陰冷,再加上江上的寒風(fēng),乘客們冷得打戰(zhàn);而隨著船的前行,太陽又間或從山間或巖石縫里露出來,江面上水汽大,陽光射入,容易在江面上投下彩虹,這些第九段又寫“人們不是煩惱,就是生氣,悲傷”,這些都表明他們的心情并未因陽光和彩虹而變得積極樂D他不愿意離開武漢,因為有“在大時代分擔(dān)一部分的工作”的強(qiáng)烈意愿,待在武漢,正是“勇氣與力量”的表現(xiàn);而后來武漢戰(zhàn)局吃緊,“遷移之議既成”,老舍無法繼續(xù)在武漢從事“文協(xié)”相關(guān)工作,這才乘船去往大后方。他為抗戰(zhàn)工作的意愿并未發(fā)生變化。所以,他在思想和認(rèn)識上并沒有發(fā)生“重大轉(zhuǎn)變”,【7【8【9(三)閱讀Ⅲ(522使我終歲不食葵。鄰人女奔,隨人亡,其家倩吾兄行追之。逢霖水出,溺流而死,令吾終身無兄。[注]春秋末期,宗周王室動蕩,晉強(qiáng)鄭弱。子大叔為鄭國正卿,范獻(xiàn)子為晉國大臣。ABCDEFGH所避乎!下列對材料中加點(diǎn)的詞語及相關(guān)內(nèi)容的解說,不正確的一項是(下列對材料有關(guān)內(nèi)容的概述,不正確的一項是(【答案】1011. 12.【10B處斷開;D處斷開;F處斷開?!?2【13【14(四)閱讀Ⅳ(2,9下列對這首詩的理解和賞析,不正確的一項是(【答案】15.D 【15【16(五)名篇名句默寫(1,6 【答案】①(是故)弟子不必不如師②.師不必賢于弟子③.兩情若是久長時④.又豈在朝朝暮暮⑤.水面清圓⑥.一一風(fēng)荷舉(江南可采蓮,蓮葉何田田/惟有綠荷紅菡萏,卷舒開合任天5小題,18展宏‘兔’(圖)”;電視廣告里,則有“默默無‘蚊’(聞)的奉獻(xiàn)”(蚊香廣告)等有趣的說 的意思不明確,使人()。所以,使用諧音雙關(guān),要注意語言格調(diào)高雅和信息傳遞有效,避免出現(xiàn)上下列填入文中橫線處的句子,銜接最恰當(dāng)?shù)囊豁検?)填入文中第四段括號內(nèi)的詞語,不恰當(dāng)?shù)囊豁検?)A.莫名其 B.無所適 C.大惑不 D.一頭霧.19. 20.【18【19AB;D?!?0【21【228002025年普通高等學(xué)校招生全國統(tǒng)一考試(1卷2B鉛筆將試卷類型和考生號填涂在答題卡相應(yīng)位置上。2B鉛筆把答題卡上對應(yīng)的題目選項的答案信息點(diǎn)涂黑:如需改(15i)i的虛部為(

若點(diǎn)(a,0)(a0)是函數(shù)y2tanxπ的圖象的一個對稱中心,則a的最小值為

設(shè)f(x)是定義在R上且周期為2的偶函數(shù),當(dāng)2x3時,f(x)52x,則f3

若圓x2(y2)2r2(r0)上到直線y 若實數(shù)x,y,z滿足2log2x3log3y5log5z,則x,y,z的大小關(guān)系不可能是 xy

xz

yx

yz361860 AD C.CC1∥平面 D.AD∥設(shè)拋物線Cy26xFFCA、BFAB的直線交lx3 A.|AD||AF

B.|AE||AB

C.|AB|

D.|AE||BE|已知△ABC的面積為1,若cos2Acos2Bcos2C2,cosAcosBsinC1,則 sinCsin2Asin2

AB C.sinAsinB

D.AC2BC23515若直線y2x5是曲線yexxa的切線,則a 學(xué)期望E(X) 57715.(13)1000附2

n(ad(ab)(cd)(ac)(bd16.(15分)設(shè)數(shù)列a滿足a3,an1an n n(n設(shè)

f(x)axax2

axmf(2 17.(15分)PABCDPAABCDBCADABAD PABPAAB

2,AD

31BC2,P,B,C,D證明:OABCD18.(17分)設(shè)橢圓C:

2 2

PyRAPARAP3P(mnR的坐標(biāo)(m,n表示O為坐標(biāo)原點(diǎn),QCOROP3倍,求|PQ|19.(17分)f(x5cosxcos5xf(x在0π 2025年普通高等學(xué)校招生全國統(tǒng)一考試(1卷在答題卡上.2B鉛筆將試卷類型和考生號填涂在答題卡相應(yīng)位置上.2B鉛筆把答題卡上對應(yīng)的題目選項的答案信息點(diǎn)涂黑:如需

C. D.【詳解】因為15iii5i25i1,2.設(shè)全集U AB.C.D.

D.aba2b2c2b

7aa2b2c2a27a28a2,則c22a即ec 若點(diǎn)(a,0)(a0)是函數(shù)y2tanxπ的圖象的一個對稱中心,則a的最小值為 A. B.

y2tan(xπxπkπkZ π 即y2tan(x3)的對稱中心是 2,0,kZ aπkπkZ a0k0aπa設(shè)f(x)是定義在R上且周期為2的偶函數(shù),當(dāng)2x3時,f(x)52x,則f3

f(xf(x),f(x2)f(xxR于是f(3)f()f(11)52111 帆船賽中,運(yùn)員可借助力計測定速的大小方向,出的結(jié)果航海學(xué)中為視風(fēng)風(fēng),視風(fēng)風(fēng)速對應(yīng)的向量,是真風(fēng)風(fēng)速對應(yīng)的向量與船行風(fēng)速對應(yīng)的向量之和,其中船行風(fēng)速對應(yīng)的向量與船速對的量小等向反.圖1出部風(fēng)等級稱風(fēng)大的應(yīng)系.知帆運(yùn)員在時測的風(fēng)速應(yīng)向與速應(yīng)向如圖速大和量大相同A.輕 B.微 C.和 D.勁得出真風(fēng)風(fēng)速的大小,即可由圖1得出結(jié)論.2222n1

x2y2)2r2(r0)y

3x212r A. C.(3,

D.(0,

x2y22r2r0E02r3203320321

3x2的距離為:d 2r1時,圓x2y22r2r0上有且僅有一個點(diǎn)(A點(diǎn))到直線y 3x2的距離等于1;當(dāng)r3時,圓x2y22r2r0上有且僅有三個點(diǎn)(B,C,D點(diǎn))到直線y 3x2的距離等于1;當(dāng)則r的取值范圍為1,3時,圓x2y22r2r0上有且僅有兩個點(diǎn)到直線y 若實數(shù)x,y,z滿足2log2x3log3y5log5z,則x,y,z的大小關(guān)系不可能是 xyC.yx

xzD.yz【分析】法一:設(shè)2log2x3log3y5log5zm,對mxyz,即可得出大小關(guān)系,2log2x3log3y5log5zmm2x1y311z531xyz,A m5x8y9z1yxz,Cm8x2664y35243z53125yzx,D有可能;2log2x3log3y5log5zmx2m2y3m3zy2x2y3x3y5x5y2x2y3x3y5x5的圖象與xm的交點(diǎn)縱坐標(biāo),如圖所示:易知,隨著mxyzyxzyzxzyx,3618分.要求.60分 A.ADC.CC1BCAD//ADABCAA1ADA1AAD0因為VABCDBCADBC,則CDAD A1CADA1AADCDADA1AAD

CDAD

0ADA1CABCABCAA1BC,BCAA1DBAA1AA1DCC1AA1D,所以CC1AA1DC正確;DABCA1B1C1A1B1AB,ADA1B1ADABADABA矛盾,AD//A1B1D錯誤;D000,A

3,0,0,A1

AAD300A1C31hADA1CA BCBC020,CC100hAA100hADAAD→xyz

3,0,0 AA1nhz則–––→ ,得xz0,

y

ADn3xBC020→CCn0

0ADABD設(shè)拋物線Cy26xFFCA、BFAB的直線交lx3 A.|AD||AF B.|AE||ABC.|AB| D.|AE||BE|三角形相似證得AEB90C,利用直線的反設(shè)法(法一)與正設(shè)法(法二),聯(lián)立直線AB與拋物線方程,結(jié)合韋達(dá)定理與焦點(diǎn)弦公式可判斷C;利用利用三角形相似證得AE2AFAB BFABA,對于拋物線C:y26xp3x3F30 ADAF|AD||AF|A正確;BB作準(zhǔn)線lP,ADlEFAB,則ADEAFE90,又|AD||AF||AE||AE|,所以VADE@VAFE,所以AEDAEF,同理BEPBEF又AEDAEFBEPBEF180

90,即AEB90AB為ABE的斜邊,則|AE||AB|B錯誤;CAB的斜率不為0,ABxmy3AxyBxyxmy

聯(lián)立y2

2y26my90易知0y1y26my1y29xmy3xmy3 所以|AB|xxpmy

336m266 m0CD,在Rt△ABE與RtAEFBAEEAF所以RtABERtAEF

AE2

AFAB同理 BFABAFBFx3x3my3my 2 m2yy3myy99m218m299m211 AB6m266m21AE2BE2BFAFAB29m2136m212 AEBE3m2126m2118m21218D正確.A,對于拋物線C:y26xp3x3F30 ADAF|AD||AF|A正確;BB作準(zhǔn)線lP,ADlEFAB,則ADEAFE90,又|AD||AF||AE||AE|,所以VADE@VAFE,所以AEDAEF,同理BEPBEF又AEDAEFBEPBEF180AB為ABE的斜邊,則|AE||AB|B錯誤;CAB的斜率不存在時,AB2p6;ABABykx3 2 kxy kx聯(lián)立 2,消去y,得k2x23k26xk20 y2易知0xx36xx9

k1k1k1k1k

1 xx 4x 11k1k

6 632

16 k2|AB|6CD,在Rt△ABE與RtAEFBAEEAF所以RtABERtAEF

AE2

AFAB同理 BFAB當(dāng)直線AB的斜率不存在時,AB6,AFBF AB3 所以AE BFAFAB23362,即AEBE18 當(dāng)直線AB的斜率存在時, 611 k2 AFBFx3x3xx3xx 2 1 933691 k2 k2 1 1 所以AE BFAF 9 36 AE

1k2

1k2

121822 AEBE18D正確.已知VABC1,若cos2Acos2B2sinC2cosAcosBsinC

A.sinCsin2Asin2 B.ABC.sinAsinB

D.AC2BC2【分析】對cos2Acos2B2sinC2AAB的大小,亦可使用正余弦定理討論解決,結(jié)合正弦函數(shù)的單調(diào)性可推出CcosAcosBsinC1AB取值,最后利用三角形面積求出三邊長,即可判斷每個選項

,然后利用【詳解】cos2Acos2B2sinC2,由二倍角公式,12sin2A12sin2B2sinC2sinCsin2Asin2B,A選項正確;sinAB)sinπCsinC,展開可得sinAcosBsinBcosAsin2Asin2B,即sinA(sinAcosB)sinB(sinBcosA)0,ABπ,則sinAcosBsinBcosAABπAπBsinAcosB,同理sinBcosA 又sinA0sinB0,于是sinA(sinAcosBsinB(sinBcosA0ABπABπ,類似可推導(dǎo)出sinA(sinAcosBsinB(sinBcosA)0ABπ不成立 ABπ,即Cπ sinCsin2Asin2B時,由C(0π,則sinC(0,1,于是1sinCsin2Asin2Bsin2C,a2b2c2cosC0,則C(0π (0,),則AB,注意到cosAcosBsinC,則cosAcosB0 于是cosA0cosB0(兩者同負(fù)會有兩個鈍角,不成立)AB0π 2 ABπAπBAπB都是銳角,則sinAsinπBcosB0

于是sinCsin2Asin2Bcos2Bsin2B1,這和sinC1相矛盾,故C0,π)不成立,則Cπ 由cosAcosBsinC1cosAcosBABπ,則cosBsinA,即sinAcosA1 則sin2A1,同理sin2B1AB是銳角,則2A2B(0π AB2Aπ2B5πA

π,B5π 由兩角和差的正弦公式可知

πsin5π

6 2

6 2

6,C 由兩角和的正切公式可得,tan5π2 BCtAC2

3tAB

6t

31423423

(2 3)t2,則t2

,則t

于是AB 2)t ,B選項正確,由勾股定理可知,AC2BC22,D選項錯誤3515分若直線y2x5是曲線yexxa的切線,則a yexxayex1,y2x52,yex12,即ex1x0x0y2x5y2055,所以切點(diǎn)坐標(biāo)為(05),因為切點(diǎn)(05yexxa所以5e00a,即51aa4yexxayexy2x5yexxa的切點(diǎn)為x0y0ex01則y2x

,解得a4 yex0x n項和的定【詳解】法一:設(shè)該等比數(shù)列為anSnnS44S868,設(shè)anq,q1S44a14a11S88a1868q1

a1q4 1

1q81

68

1q81

1 1 即 1則1q417q2,所以該等比數(shù)列公比為2.法二:設(shè)該等比數(shù)列為anSnnS44S868,設(shè)anq,S4a1a2a3a44S8a1a2a3a4a5a6a7aaaaaq4aq4aq4a aaaa1q468 41q468,則1q417q2,所以該等比數(shù)列公比為2.法三:設(shè)該等比數(shù)列為anSnnS44S868,設(shè)anq,SSaaaaaaa

q468464 S4a1a2a3a44S8S4q46416q2 所以該等比數(shù)列公比為2數(shù)學(xué)期望E(X) 25EXXiEXi,進(jìn)X1、2、3,總的選取可能數(shù)為53125,X15PX151 X2:恰好兩種不同球被取出(即一球出現(xiàn)兩次,另一球出現(xiàn)一次),54種方式,3X2的可能情況有54360PX2

12 X3X3的可能情有況54360PX3

12 1521231261 Xi

XXi EXEXiEXi5EXi 由題意可知,球i4

4 由于抽取獨(dú)立,三次均未取出球i的概率為PX0

因此球iPX116461EXi

EX5EX5

577分.解答應(yīng)寫出文字說明、證明過程或演算步驟

n(ad(ab)(cd)(ac)(bdPx2?k(2)根據(jù)獨(dú)立性檢驗的基本思想,求出2,然后與小概率值0.001對應(yīng)的臨界值10.8281200人中有180p1809 2 10002020780180 根據(jù)表中數(shù)據(jù)可得,2 765.62510.828800200800200

x0.001根據(jù)小概率值0.001的2H0不成立,即認(rèn)為超聲波檢查結(jié)果與患該病有關(guān),該推斷犯錯誤的概率不超過0.001.設(shè)數(shù)列a滿足a3,an1an n(n f(xaxax2

axmf(2)(2)f273m 【分析】(1)根據(jù)題目所給條件an1an n nn1在數(shù)列a中,a3,an1an n nnn1an1nan1,即n1an1nan2由題意及(1)nN*

31n1

12fxaxax2axm fx3x2x212xm,fx34xm2 m fx34xm2x1x0 1∴fx 1

x1xm11

m2 1 212m1 m22m∴f2 1212m11

m22m

m221 3m72 PABCDPAABCDBCADABADPABPADPAAB 2AD 3BC2PBCD在同一個球面上,設(shè)該球面的球心為O(ii)2【分析】(1)APABAPADABPAD中,得出點(diǎn)O坐標(biāo),進(jìn)而得出點(diǎn)OOPOBOCODAC的長,過點(diǎn)OACBC的延長線為C1AC1PC1,利用勾股定理求1詳解】PABCDPAABCDABAD∴APAB,APADAPPADADPADAPADAABPADPABPAD2PABCDAPABAPADABADBCADPAAB AD1 ∴A0,0,0,B

2,0,0,C

2,2,0,D0,1

3,0,P0, PBCDOPOBOCODxAy∴A0,0,B

2,0,C

2,2,D0,1

3∴線段CDF233 13 313 33直線CD的垂直平分線EF斜率:k23

6∴直線CD的方程:y336 x2, 2即y6

2

3 2 當(dāng)y1時,16 x233,解得:x0, 2 ∴O021202120200 2212OB00 2212202OC00113OD解得:OPOBOCOD ∴點(diǎn)OABCD上.PBCD在△BCD中,到三角形三點(diǎn)距離相等的點(diǎn)是該三角形的外心,BC和CD的垂直平分線,如下圖所示,OEAB ,BECE

1BC1,ODADAOBO

12122 ∴O1DBO1CO1在RtAOP中,APAD,AP AP2AP2AO

22∴PO1BO1CO1O22∴點(diǎn)O1PBCD所在球的球心O,此時點(diǎn)OADADABCD,∴點(diǎn)OABCD上 AC2,2,0,PO0,1,2,021021222200122 AC由幾何知識得,PO ABAD,BC∥AD∴ABBC在RtVABC中,AB ,BC2,由勾股定理得222過點(diǎn)OACBC的延長線為C1AC1PC1則OC1AC ,直線AC與直線PO所成角即為△POC1中POC1或其補(bǔ)角PAABCDAC1ABCDPAAC1A∴PAAC1在RtABC1中,AB ,BC1BCCC1213,由勾股定理得

22222222

PA2ACPA2ACPC2PO2OC22POOCcosPOC cosPOC1ACPOcosPOC13設(shè)橢圓C:

21(ab02

PyRAPARAP3P(mnR的坐標(biāo)(m,n表示OMOR的斜率為直線OP3倍,求|PM|

x22 n2m2n2

m2n

m2n12

2 P的軌跡為圓(除去兩點(diǎn)),再根據(jù)點(diǎn)與圓的最值求法結(jié)合三角換元或者直接1a2a2由題可知,A0,b,Ba,0,所以ec2 ,解得a29,b21,c282

x2

c2a2 n1,故y01n1,且mx0

xy因為A0,1,xy

3m2n m2n

n2m2即1mx0m3x0m2n12y0m2n12 n2m2n2所以點(diǎn)R的坐標(biāo)為 m2n m2n12 法二:設(shè)ARAP,0,則ARAP3m2n123,所

3n m2n

m2n

m2n

2 n2m2n2點(diǎn)R的坐標(biāo)為 m2n m2n12 kOR

n2m2n2m2n12 m2n12

n2m2

n,由 3n

n2m2

m2n28n20,即

n

18m0

PMmaxMN的距離加上半徑,M3cossin,所以MN23cos2sin429cos2sin28cos2181sin28sin28sin 1 8sin

2727,當(dāng)且僅當(dāng)sin時取等號所以

33

2

MN2x2 4299y2y28 168y28

8

2727

時取等號故

33

2f(x5cosxcos5xfx在0π 先考慮t0π時b的范圍,對于t0π時,可利用(2)中的結(jié)論結(jié)合特值法求得b

可得b的最小值;或者先根據(jù)函數(shù)解析特征得b0,再結(jié)合特值法可得b

11fx5sinx5sin5x10cos3xsin2xx0π2x0π,故sin2x0 當(dāng)0xπcos3x0fx0πxπcos3x0fx0 fx在0π上為增函數(shù),在ππ 6 64 故fx在0,π上的最大值為fπ5cosπcos5π 4

6 2:我們有cos5xcosx4xcosxcos4xsinxsin4xcosx2cos22x1sinx2sin2xcoscosx8cos4x8cos2x14cosxcos2xsin28cos5x8cos3xcosx4cosx2cos2x11cos216cos5x20cos3x5cosx.fx5cosxcos5x5cosx16cos5x20cos3x5cosx20cos3x16cos54cos3x54cos2x4cosx354cosx24cosx3

52cos

52cos32cosxcosxcosx153 2cosx153 2cosx3 15151515 cosxcosxcosx

2cosx35 332 ,同時又有fπ5cosπcos5π 故fx在0,π上的最大值為 ,在R上的最大值也是 4 21:由余弦函數(shù)的性質(zhì)得cosxcos的解為2kπ2kπ2πkZ,若任意2kπ2kπ+2πkZ與aa交集為空,a2kπ2πa2kπ2πakZ2k1πa2kπak

a1k

a

2π31h(x5cosxcos5xth(x2π5cosx2πcos5x10π+thx當(dāng)tπh(x)5cosxcos5xπ6cosx6,當(dāng)t0h(x5cosxcos5xh(x)5sinx5sin5x5cos3xsin2xx02πh(x0

ππ5π 7π3π11π,, ,π, x6 x)))33,))0,)h(0)h(2π4

π

11π)

)33,h(π)4

h( 取5π,則cosy3xyt,xyt, 55 66故5cosx

綜上b

xπt0使得等號成立綜上,bmin 2gtx5cosxcos5xttgtx5cosxcos5xtbxtgtxgtxπbgtxbx恒成立,這直接得到b0tπmgxb bgtπ5costπcost5π5costπcostπ6costπ6cost 6 6 6 6 6 6 bgtπ5costπcost5π5costπcostπ6costπ

πt66 66 6 66 66 66 6cosm3 bgtπ5costπcost5π5costπcostπ6costπ

πt62 62 2 62 62 62 6cosm3

cosmcosmπ,cosmπb 再結(jié)合cos2x2cosx1, 2π

b 就得到cos2m,cos2m3,cos2m3均不超過21 6 33假設(shè)b

,則b1 11 故cos2mcos2m2πcos2m2π11 3 3 2 但這是不可能的,因為三個角2m2m2π2m2π x1所以假設(shè)不成立,這意味著b ②另一方面,若b3 ,則由(1)中已經(jīng)證明fx3 知存在t0,使得5cosxcos5xt5cosxcos5xfx b從而b

綜合上述兩個方面,可知b的最小值是332025(I)150分,120分鐘。第一部分聽力(共兩節(jié),30分)第二部分閱讀(共兩節(jié),50分第一節(jié)(15小題;2.5分,37.5分,Thegreeningofplanes,trainsandMovinggoodsandpeoplearoundtheworldisresponsibleforalargepartofglobalCO2emissios

Thehardestsectortodecarbonizeisaviation.long-termoptionforsustainablefuelforplanesistomakehydrocarbonsfromrecycledair.Batteriesareenergy-efficientandelectriccarscanplugintoexistingsystemsandservices.Newsolid-statebatterieswillThehardestsectortodecarbonizeisaviation.long-termoptionforsustainablefuelforplanesistomakehydrocarbonsfromrecycledair.Batteriesareenergy-efficientandelectriccarscanplugintoexistingsystemsandservices.Newsolid-statebatterieswilltakeacarfartheronasingleSometrainsarealreadyelectrifiedthroughrailsorwires;otherscanbefuelcellsHydrogenfuelcellsareaLiquidammoniaiseasytokeepandtransportbutitishardtoignite(Thefuelsfortransportneedtobenotjustgreen,cheapandpowerful,butalsolightweightandsafeenoughtobecarriedaround.Eachmodeoftransporthasitsspecificfuelneeds.Muchisstilltobesettled,butherearesomeofthesolutionstogetusgoinggreen.madeelectricinprettysimplechoicethanbatteriesfortrucks,makinggreenhydrogenis燃)andrequiresanengineThisenergytransition(變革)isglobal,andtheamountofrenewableenergytheworldwillneedis"alittlebitmind-blowing,"saysmechanicalengineerKeithWipkeattheNationalRenewableEnergyLaboratoryIt'sestimatedthattheglobaldemandforelectricitycouldmorethandoubleby2050Fortunatelyanalysessuggestthatrenewablesareuptothetask."Weneedtospeedupthedevelopmentofgreenenergyanditwillallgetused,"saysWipke.WhatpercentageofglobaltransportemissionsdidroadvehiclesaccountforinA. B. C. D.WhichmodeoftransportcangogreencomparativelyA. B. C. D.WhatdoesWipkesuggestregardingenergyLimitingfuel B.PuttingmoreeffortintoC.Improvingenergy D.MakingelectricitymoreInmyninth-gradewritingclasslastyear,Imetacowboywhosavedhistown,astrictfatherwhodemandedhissonearnstraightA's,andamodern-dayJulietwhodiedofheartbreakafterherparentsrejectedtheloveofheryounglife.Morethanonce,Ifoundmyselfwonderingjusthowmystudents,who'dcreatedthesepeople,knewtheirsubjectssowell.Butthingsweredifferentfortheirfirstessaywhichwasaboutthequestion:"Whyiswritingimportant?"Mostoftheessaysfilledlessthanonepage,andfewcontainedasentencethatcouldbeinterpretedasathesis(論點(diǎn))statement.Iwasshocked.ThenIrealizedthattheproblemwasthequestionitself.Theycouldhavewrittenpagesonthenecessityofcomputers,butwriting,inandofitself,simplydidn'tstrikethemasimportant.ThiswouldhavetoAsanewunitstartedIaskedeveryonetowriteapersuasivepieceonahealth-relatedtopicoftheirchoice.Thistimetheyfoundtheexercisemuchmoreinteresting.Forthenexttwoassignments,apersonal-narrativeunitfollowedbyacreative-writingworkshop,Ionlyrequiredthatthepiecemeetthespecificationsofitsgenre(體裁)andthatitcontainathesis.TheresultswerestaggeringThestudentstookondiversetopicsandturnedinstories,10to20pageseach,withcharactersthatbroadenedmyviewandtouchedmyheart.Iwalkedintoclassbelievingthatwritingisimportantasameansofcommunication.However,mystudentsdemonstratedsomethingmoreimportanttome.WhenthefinalbellranginJune,Iwalkedawaywithayearbookfullofmessagesaboutwriting'smostpowerfulsignificance—theabilitytoconnectpeople,toputusinanother'sskin,toteachuswhatitmeanstobehuman.WhoarethepeoplementionedatthebeginningofparagraphNinth B.Students'C.Modern D.FictionalWhydidthestudentsperformpoorlyinwritingtheirfirstTheywerenotgivenenough B.TheyhadaverylimitedC.Theymisunderstoodthe D.TheyhadlittleinterestintheWhatdoestheunderlinedword"staggering"inparagraph3A. B. C. D.Whatdoestheauthor'sexperienceTeachingis B.StillwatersrunC.Knowledgeispower. D.Practicemakesperfect.Whilesafetyimprovementsmighthavebeenmadetoourstreetsinrecentyears,transportstudiesalsoshowdeclinesinpedestrian(行人)mobilityespeciallyamongyoungchildrenManyparentssaythere'stoomuchtrafficontheroadsfortheirchildrentowalksafelytoschool,sotheypackthemintothecarinstead.DutchauthorsThaliaVerkadeandMarcoteBr?mmelstroetarebotheredbyfactslikethese.IntheirnewbookMovement:HowtoTakeBackOurStreetsandTransformOurLives,theycallforarethinkofourstreetsandtheroletheyplayinourlives.Lifeoncitystreetsstartedtochangedecadesago.Wholeneighbourhoodsweredestroyedtomakewayfornewroadnetworksandkidshadtoplayelsewhere.SomecommunitiesfoughtbackMostfamouslyaCanadianjournalistwhohadmovedherfamilytoManhattanintheearly1950sledacampaigntostopthedestructionofherlocalpark.Describingheralarmatitsproposedreplacementwithanexpressway,JaneJacobscalledonhermayor(市長)tochampionNewYorkasadecentplacetolive,andnotjustrushthroughSimilarcampaignsoccurredinAustraliainthelate1960sand1970saswell.Althoughthesecampaignswerewidespread,therealityisthatthemajorityofthewesterncitieswerecompletelyredesignedaroundtheneedsofthemotorcar.Thenumberofcarsonroadshasbeenincreasingrapidly.InAustraliawenowhaveovertwentymillioncarsforjustovertwenty-sixmillionpeople,amongthehighestrateofcarownershipintheworld.Weinvestalotinroadsthathelpusrushthrough,butwefailtoaccountforthetruecosts.Dowereallyrecognisewhatitcostsusasasocietywhenchildrencan'tmovesafelyaroundourcommunities?TheauthorsofMovementhaveitright:it'stimetothinkdifferentlyaboutthatstreetoutsideyourfrontdoor.WhatphenomenondoestheauthorpointoutinparagraphCarsoftengetstuckonthe B.TrafficaccidentsoccurC.Peoplewalklessanddrive D.PedestriansfailtofollowtheWhatweretheCanadianjournalistandothercampaignerstryingtoKeeptheircities B.PromoteculturalC.Helptheneedy D.MakeexpresswaysWhatcanbeinferredaboutthecampaignsinAustraliainthelate1960sandTheyboostedthesalesof B.TheyturnedoutlargelyC.Theywongovernment D.TheyadvocatedbuildingnewWhatcanbeasuitabletitlefortheWhythe B.What'sC.Whereto D.WhotoMicroplasticshavebecomeacommonsourceofpollutionacrosstheEarth—theyhavesettledinthedeepseaandontheHimalayas,stuckinsidevolcanicrocks,filledthestomachsofseabirdsandevenfalleninfreshAntarcticsnow.Theyareevenappearinginsidehumans.Nownewresearchsuggeststhatasimple,cheapmeasuremaysignificantlyreducethelevelofmicroplasticsinwaterfromyourtap(水龍頭)boilingandfiltering(過濾)itInastudypublishedWednesdayinEnvironmentalScience&TechnologyLetters,researchersfromChinafoundthatboilingtapwaterforjustfiveminutes—thenfilteringitafteritcools-couldremoveatleast80percentofitsmicroplastics.Cruciallythisprocessreliesonthewatercontainingenoughcalciumcarbonate(碳酸鈣)totraptheplastics.Inthestudy,boilinghardwatercontaining300milligramsofcalciumcarbonateledtoanalmost90percentdropinplastics.Butinsampleswithlessthan60milligramsofcalciumcarbonate,boilingreducedthelevelofplasticsbyjust25percentAdditionally,theresearchdidn'tincludealltypesofplastics.Theteamfocusedonlyonthreecommontypes—polystyrene,polyethyleneandpolypropylene—andtheydidn'tstudyotherchemicalspreviouslyfoundinwatersuchasvinylchloride.Still,thefindingsshowapotentialpathforwardforreducingmicroplasticexposure—ataskthat'sbecomingincreasinglydifficult.Evenbottledwater,scientistsfoundearlierthisyear,contains10to1,000timesmoremicroplasticsthanoriginallythought.Scientistsarestilltryingtodeterminehowharmfulmicroplasticsare—butwhattheydoknowhasraisedconcerns.Thenewstudysuggestsboilingtapwatercouldbeatooltolimitintake."Thewaytheydemonstratedhowmicroplasticsweretrappedthroughtheboilingprocesswasnice,"CarolineGauchotte-Lindsay,anenvironmentalengineeroftheUniversityofGlasgowinScotlandwhowasnotinvolvedintheresearch,tellsNewScientist."Weshouldbelookingintoupgradingdrinkingwatertreatmentplantssotheyremovemicroplastics."HowdoestheauthorpresenttheissueinthefirstByquotingan B.BydefiningaC.Bygiving D.ByprovidingWhatdeterminestheeffectivenessoftrappingmicroplasticsinThehardnessof B.ThelengthofcoolingC.Thefrequencyof D.ThetypeofplasticinWhatdoestheauthortrytoillustratebymentioningbottledwaterinparagraphTheimportanceofplastic B.TheseverityofthemicroplasticC.Thedangerinoverusingpure D.ThedifficultyintreatingpollutedWhatisGauchotte-Lindsay'ssuggestionChoiceofnewresearch B.PossibledirectionforfurtherC.Needtoinvolvemore D.Potentialapplicationofthe第二節(jié)(5小題;2.5分,12.5分,AnUnsungNeedabreakbetweenclassesorjustaquickpick-me-upinthemorning?TheCollegeCafehasjustthat,more.36. CatherineMurphy,acafeworkerinagreenshirtandblackhat,makessurethateachcustomergetsexactlywhattheyorder.Shegoesbackandforthbetweenmachinestomakethedrinks.37. Asthecustomergrabsthedrinkfromherhand,shesmilesandsays,"Hello,howisyourday?"Evenwhenthelineisgettinglonger,shedoesn'tletitgetinthewayofhergenuineconversations.Murphygetsupataquartertofiveanddrivesthirtyminuteseverydaytogettoworkontime.38. "IdosobecauseIliketomakecoffeeforthestudents.Iknowtheyneeditinthemorning,"Murphysaid.Beingamotherandwifehashelpedherbecomethewomansheis.Shebelievessheisheretoserve.contagioushavingamuchbetterdaythantheywerehavingbeforeseeingher.JoannaWright,aseniorpoliticalsciencemajor,lovescoffeeandgoestothecafeatleastsixdaysaweek.39. "Catherinealwayshasahugesmileonherface,whichalwaysputsmeinacheerfulmood,"Wrightsaid."Ienjoyworkinginthecafe,"Murphysaid.40. Shehaseveryintentionofstayingandcontinuingdoingwhatsheloves.Thecafeclosesat9pmeveryShehastwochildrenagedeightandSometimesshearrivesearlytoservethestudentsAfterfinishinganorder,shecallsoutthenameontheNotonlydoesthiscafeserveupdrinks,italsoservesupGoingtothecafestartsherdayoffgoodandgetsherreadyforShehasservedherefor17yearsandcan'timagineworkinganywhere第三部分語言運(yùn)用(共兩節(jié),30分第一節(jié)(15小題;1分,15分,OneAugustafternoon,Isatinmykitchenstaringataglassvasethathadn'tseendaylightsincemyMyhusbandandIhadjustsoldourhouseandwewerebusy thebelovedhomeourfamilyhadspent23yearsfillingup.Wehaddecidedonkeyitemsforthe42 weweremovingtointown,donatedwhatwecould,andrentedaplaceto43 oursupposedlyimportantobjects.Thatleftahousestill44 withthingsthatwhilenotparticularly45 ,didn'tbelonginalandfill(垃圾填埋場).Itookapictureofthevaseandposteditonline,for$10.Acoupleofmessagescamein,onewantingadditional ,anotheraskingforapricecut.Asour47 daydrewnear,Isettledonanewprice($0)andrepostedit.The :"Ihatethisvase.Maybeyouwon't."Inaninstant,awomanracedintomyhouseandlefthappilywiththevase.49 ,Ipostedmore.Mydailypostsandthe50 Ireceivedbecameapreciousrayoflightinthechaosofmyhouse.Eachexchangeprovidedachanceto51 thelandfillandtopleaseanotherpersonImightnototherwisehave52 .Isitinmyapartmenttoday,lovingeachofthe53 thatshareoursmallspace.Itake54 inknowingthat,somewherenearby,someoneis55 somethingthatcouldn'tcomewithus.41.A.painting B.looking C.emptying D.pulling42.A.B.C.D.43.A.B.C.D.44.A.B.C.D.45.A.B.C.D.46.A.B.C.D.47.A.B.C.D.48.A.B.C.D.49.A.B.C.D.50.A.B.C.D.51.A.B.C.D.52.A.B.C.D.53.A.B.C.D.54.A.B.C.D.55.A.B.C.D.第二節(jié)(10小題;1.5分,15分,AnexhibitionattheJiushiArtMuseuminShanghaiisfeaturingartworkinspiredbyGo,orweiqiinChinese, originatedinChinamorethan4,000yearsGoisoneof57. piecesreflectthebasicideasofEasternphilosophy,accordingtoTuNingning,whoisinchargeoftheexhibition."TheexhibitionbringstogetherGoculture,cutting-edgetechnologyandcontemporaryart,"saysTu."We58. (present)theratherabstractGogameandAIinavisualcontext,andinitiatedialogueswithminimalistart,conceptualartandexpressionism.""InaGogame,eachmoveshouldservealong-termgoal.Youtrytoleadtheopponentintoyourtrapandforcethemtofollowyour'59. (guide)'tilltheylose,"explainsWangWei,aGoplayeramongthevisitorstotheexhibition."Theplayers'personalities60. (reveal)duringthegame,andone'sweaknessesareexposedtotheopponent,"sheadds."Adecentwinneralways61. (try)tobeattheopponent62. nomorethanoneortwopointsasagesture(姿態(tài))ofrespectfortheotherside.”Tusaysthatthebalancebetweentheblackandwhitepieces,thebeautyinthe63. placementofthepieces,64. theenergyflowfollowingeachmoveinspiredartiststocreateoilpaintings,sculptures,65. (digital)generatedpicturesandsilk-screenprintsfortheexhibition.(共兩節(jié),40分第一節(jié)(15分假定你是李華,Jenny提出“Funatmyschool”和“GuesswhoIam”兩Jenny寫一封郵件,內(nèi)容包括:DearDearIreallyliketheideaofaddinganewcolumntoourEnglishLi第二節(jié)(25分閱讀下面材料,根據(jù)其內(nèi)容和所給段落開頭語續(xù)寫兩段,MywifeandIwantedtoshareournewhomewithfamilyandfriendsbyhostingasmallgatheringintheearlysummer.Shehadpreparedlotsofsnacks,whilemyjobwastohavethebackyardinorder.Therewasplentyofspaceforthekidstorunandplay.TherewasjustonethingIhadn'tcountedon:MybrotherchosetobringhisdogToby,a50-poundballoffire.Thoughfriendly,hecouldeasilyknockovermyniece'ssmallboysandmysix-month-oldgranddaughter.So,whenmybrothershowedup,IaskedhimtowatchTobyandkeephimMyplanwasworkingoutjustfine.Tobywasusinguphisenergybyrunningbackandforthinthebackyardandgivingthekidsplentyofroom.Unexpectedly,aftersupper,theweatherchanged.ItstartedtorainandeveryonewentItwasanawkwardmoment.Ididn'twantTobytoberunningaroundinthehouse,andmybrotherwasn'thappywithdrivinghomewithawetdog.Eventually,mybrotherdecidedtoleaveratherthanforcetheissue.Afewdayspassed,andIhadn'theardanythingfrommybrother.Itextedhimandexpressedwishesforhimtocomeoutagain.Hisreplycameasasurprise—ashock,actually:"Notachance."Clearly,hewasunhappyoverthewaywehadparted.Afterall,Ihadlefthimlittlechoice.Well,he'llgetoverit,Ireasoned.Twomonthspassed.MywifesuggestedIgetintouchwithmybrotherbutIresistedthinkingheshouldcallfirst.Howevermyconscience(良心)keptbotheringme.Itriedtoputmyselfinmybrother'sshoes.Hewasfacinghealthissuesandhiswifeofthirty-fiveyearshadpassedawayafewmonthsearlierTobywashisconstantcompanion,theonewhokepthimgoing.IIrealizeditwasmewhowasatWithWiththebiscuitsmywifehadmade,Iarrivedatmybrother's2025年普通高等學(xué)校招生全國統(tǒng)一考試(I)150分,120第一部分聽力(共兩節(jié),30分)第二部分閱讀(共兩節(jié),50分第一節(jié)(15小題;2.5分,37.5分閱讀下列短文,A、B、C、DThegreeningofplanes,trainsandMovinggoodsandpeoplearoundtheworldisresponsibleforalargepartofglobalCO2emissions排放Astheworldracestodecarbonizeeverything,itfacesparticularproblemswithtransportation—whichaccountsforaboutaquarterofourenergy-relatedgreenhousegasemissions.Here’sthebreakdownoftheemissionsin2018fordifferentmodesoftransport.CARS—BatteriesBatteriesareenergy-efficientandelectriccarscanplugintoexistingsystemsandservices.Newsolid-statebatterieswilltakecarfartheronasinglePLANES—SynthetichydrocarbonsThehardestsectortodecarbonizeisaviation.Onelong-termoptionforsustainablefuelforplanesistomakehydrocarbonsfromrecycledThefuelsfortransportneedtoCARS—BatteriesBatteriesareenergy-efficientandelectriccarscanplugintoexistingsystemsandservices.Newsolid-statebatterieswilltakecarfartheronasinglePLANES—SynthetichydrocarbonsThehardestsectortodecarbon

溫馨提示

  • 1. 本站所有資源如無特殊說明,都需要本地電腦安裝OFFICE2007和PDF閱讀器。圖紙軟件為CAD,CAXA,PROE,UG,SolidWorks等.壓縮文件請下載最新的WinRAR軟件解壓。
  • 2. 本站的文檔不包含任何第三方提供的附件圖紙等,如果需要附件,請聯(lián)系上傳者。文件的所有權(quán)益歸上傳用戶所有。
  • 3. 本站RAR壓縮包中若帶圖紙,網(wǎng)頁內(nèi)容里面會有圖紙預(yù)覽,若沒有圖紙預(yù)覽就沒有圖紙。
  • 4. 未經(jīng)權(quán)益所有人同意不得將文件中的內(nèi)容挪作商業(yè)或盈利用途。
  • 5. 人人文庫網(wǎng)僅提供信息存儲空間,僅對用戶上傳內(nèi)容的表現(xiàn)方式做保護(hù)處理,對用戶上傳分享的文檔內(nèi)容本身不做任何修改或編輯,并不能對任何下載內(nèi)容負(fù)責(zé)。
  • 6. 下載文件中如有侵權(quán)或不適當(dāng)內(nèi)容,請與我們聯(lián)系,我們立即糾正。
  • 7. 本站不保證下載資源的準(zhǔn)確性、安全性和完整性, 同時也不承擔(dān)用戶因使用這些下載資源對自己和他人造成任何形式的傷害或損失。

評論

0/150

提交評論