江蘇省蘇南四校2022高二數(shù)學(xué)上學(xué)期期中聯(lián)考試題蘇教版

2022～2022學(xué)年第一學(xué)期期中考試四校聯(lián)考高二年級(jí)數(shù)學(xué)試卷【注意】1．本試卷滿(mǎn)分160分，答題時(shí)間為120分鐘。2．答案寫(xiě)在答題卷上。一、填空題：本大題共14小題，每題5分，計(jì)70分不需寫(xiě)出解答過(guò)程，請(qǐng)把答案寫(xiě)在答題紙的指定地點(diǎn)上1．兩個(gè)平面最多能夠?qū)⒖臻g分紅部分2．直線(xiàn)3xy50的傾斜角是3．已知空間中兩點(diǎn)P1(x,2,3),P2(5,4,7)的距離為6，則x4．兩平行直線(xiàn)

x

3y

4

0與2x

6y

9

0的距離是5．已/知圓

x2

y2

2x

4y

4

0對(duì)于直線(xiàn)

y

2x

b成軸對(duì)稱(chēng)，則

=6．對(duì)于直線(xiàn)與平面，有以下四個(gè)命題：①若

m//

,n//

且//

，則

m//n；②若

m

,n

且

，則

m

n；③若

m

,n//

且//

，則

m

n；④若

m//

,n

且

，則

m//n；其中正確命題的序號(hào)是7．正三棱錐的底面邊長(zhǎng)為3，側(cè)棱長(zhǎng)為6，則其體積為8．過(guò)點(diǎn)10，有一個(gè)實(shí)心鐵球淹沒(méi)于容器的水中，若取出這個(gè)鐵球，測(cè)得容器的水面下降了5cm，則這個(gè)鐵球的表面積為cm2310．圓心在軸上，且與直線(xiàn)yx相切于點(diǎn)的圓的方程為_(kāi)__________________．――――――――――號(hào)―學(xué)―級(jí)―班―――――――――――――號(hào)―試―考―――――――――――――名―姓―――――――――――――級(jí)―班――――――――――

11．點(diǎn)D1A1C1A1C1B1DB1CAOBXCADByxbx4y2b0k4,l1:kx2y2k80l2:2xk2y4k240x2y24x4y100axby0ABCDA1B1C1D1AA1//CC1A1BA1DABADAA1BDBB1//DD11CC1:x2y210x6y320C2:x2y22ax2(8a)y4a120x2y21PT1PT2(x1)2y21(x3)2(y4)21C1(1，0)0.5毫米D1CAC11A1B1B1DCACBDB

A3xy50空間中兩點(diǎn)P1(x,2,3),P2(5,4,7)的距離為6，則xx3y40與2x6y9010x2y22x4y40y2xb//m//n20mnm,n////mnm//,n//m,nm//,nm//n63x2y0與xy50105cmcm21003yx10___________________x2(y2)2211yxbx4y2b220k4,l1:kx2y2k80l2:2xk2y4k240x2y24x4y100axby0[23,23]2,0ABTAD-3-6=0,-1,11ADCD2ABCD1AB-3-6=0ADABAD-32T-11ADAD32=0

-1=-31,4x{3x

3y60y20

A

0-2

6ABCD

M20,

C4,2

8CD

-32=0,

102M

ABCD|

AM|=

(2

0)2

(0

2)2

22,

12ABCD

-222=8

141614ABCDA1B1C1D1AA1//CC1A1BA1DD1ABAD1AA1BD2BB1//DD1C11BDMAMA1MA1A1DA1BADABB1BDAMBDA1M3AMA1MMAMA1MA1AMDBDA1AMCAAA1A1AMBAA1BD72AA1//CC1AA1D1DCC1CC1D1DCC1AA1//D1DCC110AA1A1ADD1A1ADD1D1DCC1DD111AA1//DD1AA1//BB1BB1//DD1141715ABC-A1B1C12ABDC1ADC1BCC1B12A1C1B1CADB1:ABCA1B1C1,BB1AD,ABDC,ADBC,B,ADBB1,BCBB1C1C,BCBB1BCC1B15ADADC1,ADC1BCC1B172ABCA1B1C1V1SABCAA12310DB1C1CBV21SBCC1B1(1AD)23133238315V31815222P421P2P1P2P1P23P1P21P4224240d24k1k224k131k220710052111P2221:11222242124121242222422210103P1P2651551916C1:x2y210x6y320C2:x2y22ax2(8a)y4a1201C1C22Px2y21PC1T1PC2T2PC2PT1PT2P191x2y22ax2(8a)y4a120x2y216y12(2x2y4)a0x2y216y120x4x62yyC2(4,2)2x40y24(6,4)4x4y210x6y320=1644012320x2y2(4,2)C1(6,4)C1C1C2(4,2)(6,4)62P(x0,y0)PT1x02y0210x06y0328PT2x02y022ax02(8a)y04a1210PT1PT210x06y0322ax02(8a)y04a12(x0y02)(a5)0*12C2PT1PT2x0y020x02y0211141PC2PT1PT2162016(x1)2y21(x3)2(y4)211C1(10)2C1yk(x1)kxyk01C2(34)kxyk04k443k215225k12012k4x3y403x4y3062C(xy)CC1CC2(x1)2y2(x3)2(y4)2xy30Cxy3010C(m