新高考數(shù)學(xué)一輪復(fù)習(xí)分層提升練習(xí)第39練 圓的方程、直線與圓的位置關(guān)系（原卷版）

第39練圓的方程、直線與圓的位置關(guān)系（精練）刷真題明導(dǎo)向刷真題明導(dǎo)向一、單選題1．已知實(shí)數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的最大值是（

）A．SKIPIF1<0 B．4 C．SKIPIF1<0 D．72．過點(diǎn)SKIPIF1<0與圓SKIPIF1<0相切的兩條直線的夾角為SKIPIF1<0，則SKIPIF1<0（

）A．1 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．若直線SKIPIF1<0是圓SKIPIF1<0的一條對(duì)稱軸，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．SKIPIF1<04．已知直線SKIPIF1<0（SKIPIF1<0為常數(shù)）與圓SKIPIF1<0交于點(diǎn)SKIPIF1<0，當(dāng)SKIPIF1<0變化時(shí)，若SKIPIF1<0的最小值為2，則SKIPIF1<0

A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題5．已知直線SKIPIF1<0與圓SKIPIF1<0，點(diǎn)SKIPIF1<0，則下列說法正確的是（

）A．若點(diǎn)A在圓C上，則直線l與圓C相切 B．若點(diǎn)A在圓C內(nèi)，則直線l與圓C相離C．若點(diǎn)A在圓C外，則直線l與圓C相離 D．若點(diǎn)A在直線l上，則直線l與圓C相切6．已知點(diǎn)SKIPIF1<0在圓SKIPIF1<0上，點(diǎn)SKIPIF1<0、SKIPIF1<0，則（

）A．點(diǎn)SKIPIF1<0到直線SKIPIF1<0的距離小于SKIPIF1<0B．點(diǎn)SKIPIF1<0到直線SKIPIF1<0的距離大于SKIPIF1<0C．當(dāng)SKIPIF1<0最小時(shí)，SKIPIF1<0D．當(dāng)SKIPIF1<0最大時(shí)，SKIPIF1<0三、填空題7．已知直線SKIPIF1<0與SKIPIF1<0交于A，B兩點(diǎn)，寫出滿足“SKIPIF1<0面積為SKIPIF1<0”的m的一個(gè)值．8．若直線SKIPIF1<0與圓SKIPIF1<0相交所得的弦長(zhǎng)為SKIPIF1<0，則SKIPIF1<0．9．設(shè)點(diǎn)SKIPIF1<0，若直線SKIPIF1<0關(guān)于SKIPIF1<0對(duì)稱的直線與圓SKIPIF1<0有公共點(diǎn)，則a的取值范圍是．10．設(shè)點(diǎn)M在直線SKIPIF1<0上，點(diǎn)SKIPIF1<0和SKIPIF1<0均在SKIPIF1<0上，則SKIPIF1<0的方程為．11．過四點(diǎn)SKIPIF1<0中的三點(diǎn)的一個(gè)圓的方程為．12．若斜率為SKIPIF1<0的直線與SKIPIF1<0軸交于點(diǎn)SKIPIF1<0，與圓SKIPIF1<0相切于點(diǎn)SKIPIF1<0，則SKIPIF1<0．【A組】一、單選題1．“大漠孤煙直，長(zhǎng)河落日?qǐng)A”體現(xiàn)了我國(guó)古代勞動(dòng)人民對(duì)于圓的認(rèn)知.已知SKIPIF1<0，SKIPIF1<0，則以SKIPIF1<0為直徑的圓的方程為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．若圓SKIPIF1<0的半徑為2，則實(shí)數(shù)SKIPIF1<0的值為（

）A．-9 B．-8 C．9 D．83．圓SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線方程為（

）A．SKIPIF1<0B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．直線SKIPIF1<0與圓SKIPIF1<0相交于SKIPIF1<0、SKIPIF1<0兩點(diǎn)，若SKIPIF1<0，則SKIPIF1<0等于（

）A．0 B．SKIPIF1<0 C．SKIPIF1<0或0 D．SKIPIF1<0或05．若圓SKIPIF1<0與圓SKIPIF1<0關(guān)于直線SKIPIF1<0對(duì)稱，過點(diǎn)SKIPIF1<0的圓P與y軸相切，則圓心P的軌跡方程為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．直線SKIPIF1<0與圓SKIPIF1<0的位置關(guān)系是（

）A．相交 B．相切 C．相離 D．不確定7．在SKIPIF1<0軸上的截距分別為SKIPIF1<0的直線SKIPIF1<0被圓SKIPIF1<0截得的弦長(zhǎng)為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知直線SKIPIF1<0和圓O:SKIPIF1<0，則圓心O到直線SKIPIF1<0的距離的最大值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．過點(diǎn)SKIPIF1<0作圓SKIPIF1<0的兩條切線，切點(diǎn)分別為SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．設(shè)O為坐標(biāo)原點(diǎn)，A為圓C：SKIPIF1<0上一個(gè)動(dòng)點(diǎn)，則SKIPIF1<0的最大值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．過原點(diǎn)且與圓SKIPIF1<0相切的直線方程是（

）A．SKIPIF1<0 B．SKIPIF1<0或SKIPIF1<0C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<012．兩定點(diǎn)A，B的距離為3，動(dòng)點(diǎn)M滿足SKIPIF1<0，則M點(diǎn)的軌跡長(zhǎng)為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．已知直線SKIPIF1<0是圓SKIPIF1<0的對(duì)稱軸，過點(diǎn)SKIPIF1<0作圓C的一條切線，切點(diǎn)為SKIPIF1<0，則SKIPIF1<0（

）A．2 B．SKIPIF1<0 C．SKIPIF1<0 D．714．圓M：SKIPIF1<0與兩個(gè)坐標(biāo)軸共有3個(gè)公共點(diǎn)，則實(shí)數(shù)m的值是（）A．1或2 B．1或4 C．0或4 D．0或1二、多選題15．已知圓SKIPIF1<0的標(biāo)準(zhǔn)方程為SKIPIF1<0，則下列說法正確的是（

）A．圓SKIPIF1<0的圓心為SKIPIF1<0 B．點(diǎn)SKIPIF1<0在圓內(nèi)C．圓SKIPIF1<0的半徑為5 D．點(diǎn)SKIPIF1<0在圓內(nèi)16．設(shè)直線l過點(diǎn)SKIPIF1<0，且與圓SKIPIF1<0相切，則l的斜率是（

）A．－1 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<017．已知直線SKIPIF1<0與圓SKIPIF1<0，若點(diǎn)SKIPIF1<0為直線l上的一個(gè)動(dòng)點(diǎn)，下列說法正確的是（

）A．直線l與圓SKIPIF1<0相交B．若點(diǎn)Q為圓SKIPIF1<0上的動(dòng)點(diǎn)，則SKIPIF1<0的取值范圍為SKIPIF1<0C．與直線l平行且截圓SKIPIF1<0的弦長(zhǎng)為2的直線為SKIPIF1<0或SKIPIF1<0D．圓C上存在兩個(gè)點(diǎn)到直線SKIPIF1<0的距離為SKIPIF1<018．已知直線SKIPIF1<0：SKIPIF1<0和圓O：SKIPIF1<0，則（

）A．直線SKIPIF1<0恒過定點(diǎn)SKIPIF1<0B．存在k使得直線SKIPIF1<0與直線SKIPIF1<0：SKIPIF1<0垂直C．直線SKIPIF1<0與圓SKIPIF1<0相交D．直線SKIPIF1<0被圓SKIPIF1<0截得的最短弦長(zhǎng)為SKIPIF1<019．圓C：SKIPIF1<0，點(diǎn)SKIPIF1<0為圓C上的動(dòng)點(diǎn)，則下列結(jié)論正確的是（

）A．SKIPIF1<0的最大值為SKIPIF1<0 B．SKIPIF1<0的最大值為3C．SKIPIF1<0的最大值為9 D．SKIPIF1<0無最大值20．已知圓SKIPIF1<0，直線SKIPIF1<0為直線SKIPIF1<0上的動(dòng)點(diǎn)，過點(diǎn)SKIPIF1<0作圓SKIPIF1<0的切線SKIPIF1<0，切點(diǎn)為SKIPIF1<0，則下列各選項(xiàng)正確的是（

）A．四邊形SKIPIF1<0面積的最小值為4B．四邊形SKIPIF1<0面積的最大值為8C．當(dāng)SKIPIF1<0最大時(shí)，SKIPIF1<0D．當(dāng)SKIPIF1<0最大時(shí)，直線SKIPIF1<0的方程為SKIPIF1<021．一個(gè)小島的周圍有環(huán)島暗礁，暗礁分布在以小島中心為圓心、半徑為SKIPIF1<0的圓形區(qū)域內(nèi)．已知小島中心位于輪船正西SKIPIF1<0處，為確保輪船沒有觸礁危險(xiǎn)，則該輪船的行駛路線可以是（

）A．南偏西SKIPIF1<0方向 B．南偏西SKIPIF1<0方向C．北偏西SKIPIF1<0方向 D．北偏西SKIPIF1<0方向三、填空題22．若方程SKIPIF1<0表示圓，則實(shí)數(shù)SKIPIF1<0的取值范圍是.23．已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則過A，B，C三點(diǎn)圓的一般方程．24．已知點(diǎn)A（1，2）在圓C：SKIPIF1<0外，則實(shí)數(shù)m的取值范圍為.25．已知兩點(diǎn)SKIPIF1<0，SKIPIF1<0，點(diǎn)P滿足SKIPIF1<0，則點(diǎn)P的軌跡方程為.26．直線l：SKIPIF1<0與圓C：SKIPIF1<0交A，B兩點(diǎn)，若D為圓C上一點(diǎn)，且SKIPIF1<0為等邊三角形，則r的值為.27．圓SKIPIF1<0上點(diǎn)到直線SKIPIF1<0距離的最小值是．28．點(diǎn)A是圓SKIPIF1<0上的一個(gè)動(dòng)點(diǎn)，點(diǎn)SKIPIF1<0，當(dāng)點(diǎn)A在圓上運(yùn)動(dòng)時(shí)，線段SKIPIF1<0的中點(diǎn)P的軌跡方程為.29．寫出過點(diǎn)SKIPIF1<0且與圓SKIPIF1<0相切的一條直線方程.30．若圓SKIPIF1<0上恰有4個(gè)點(diǎn)到直線SKIPIF1<0的距離為2，則SKIPIF1<0的取值范圍為.31．已知直線SKIPIF1<0與曲線SKIPIF1<0有兩個(gè)交點(diǎn)，則SKIPIF1<0的取值范圍為.32．已知圓SKIPIF1<0：SKIPIF1<0，圓SKIPIF1<0的弦SKIPIF1<0被點(diǎn)SKIPIF1<0平分，則弦SKIPIF1<0所在的直線方程是．四、解答題33．在平面直角坐標(biāo)系xOy中，設(shè)動(dòng)點(diǎn)P到兩定點(diǎn)SKIPIF1<0，SKIPIF1<0的距離的比值為2的軌跡為曲線C．(1)求曲線C的方程；(2)若直線l過點(diǎn)M，且點(diǎn)N到直線l的距離為1，求直線l的方程，并判斷直線l與曲線C的位置關(guān)系．34．已知圓心在直線SKIPIF1<0上，SKIPIF1<0和SKIPIF1<0是圓上的兩點(diǎn).(1)求該圓的方程；(2)若點(diǎn)P為該圓上一動(dòng)點(diǎn)，O為坐標(biāo)原點(diǎn)，試求直線SKIPIF1<0斜率的取值范圍.35．已知圓心為SKIPIF1<0的圓經(jīng)過SKIPIF1<0，SKIPIF1<0兩點(diǎn)，且圓心SKIPIF1<0在直線SKIPIF1<0上．(1)求圓SKIPIF1<0的標(biāo)準(zhǔn)方程；(2)求過點(diǎn)SKIPIF1<0且與圓SKIPIF1<0相切的直線方程．36．已知直線SKIPIF1<0經(jīng)過點(diǎn)SKIPIF1<0，圓SKIPIF1<0．(1)若直線SKIPIF1<0與圓C相切，求直線SKIPIF1<0的方程；(2)若直線SKIPIF1<0被圓C截得的弦長(zhǎng)為SKIPIF1<0，求直線SKIPIF1<0的方程．【B組】一、單選題1．若直線SKIPIF1<0SKIPIF1<0被圓SKIPIF1<0所截得的弦長(zhǎng)為SKIPIF1<0，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知圓SKIPIF1<0，直線SKIPIF1<0則直線SKIPIF1<0被圓SKIPIF1<0截得的弦長(zhǎng)的最小值為（

）A．5 B．4SKIPIF1<0 C．10 D．2SKIPIF1<03．當(dāng)直線SKIPIF1<0被圓SKIPIF1<0截得的弦長(zhǎng)最短時(shí)，實(shí)數(shù)SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．14．已知點(diǎn)SKIPIF1<0是直線SKIPIF1<0：SKIPIF1<0和SKIPIF1<0：SKIPIF1<0的交點(diǎn)，點(diǎn)SKIPIF1<0是圓SKIPIF1<0：SKIPIF1<0上的動(dòng)點(diǎn)，則SKIPIF1<0的最大值是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知SKIPIF1<0是坐標(biāo)原點(diǎn)，若圓SKIPIF1<0上有2個(gè)點(diǎn)到SKIPIF1<0的距離為2，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知點(diǎn)SKIPIF1<0，點(diǎn)SKIPIF1<0是坐標(biāo)原點(diǎn)，點(diǎn)SKIPIF1<0是圓SKIPIF1<0上的動(dòng)點(diǎn)，則SKIPIF1<0的最大值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知A，B是圓C：SKIPIF1<0上的兩個(gè)動(dòng)點(diǎn)，且SKIPIF1<0，若SKIPIF1<0，則點(diǎn)P到直線AB距離的最大值為（

）A．2 B．3 C．4 D．78．經(jīng)過直線SKIPIF1<0與圓SKIPIF1<0的兩個(gè)交點(diǎn)，且面積最小的圓的方程是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<09．過點(diǎn)SKIPIF1<0作圓SKIPIF1<0的兩條切線，設(shè)切點(diǎn)分別為A，B，則SKIPIF1<0的面積為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．在平面直角坐標(biāo)系中，過直線SKIPIF1<0上一點(diǎn)SKIPIF1<0作圓SKIPIF1<0的兩條切線，切點(diǎn)分別為SKIPIF1<0，則SKIPIF1<0的最大值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題11．已知圓SKIPIF1<0，直線SKIPIF1<0．則以下幾個(gè)命題正確的有（

）A．直線l恒過定點(diǎn)SKIPIF1<0B．圓C被y軸截得的弦長(zhǎng)為SKIPIF1<0C．直線l與圓C有可能相交，也有可能相切D．直線l被圓C截得最短弦長(zhǎng)時(shí)，直線l的方程為SKIPIF1<012．已知直線SKIPIF1<0：SKIPIF1<0，SKIPIF1<0和圓SKIPIF1<0：SKIPIF1<0，下列說法正確的是（

）A．直線SKIPIF1<0與圓SKIPIF1<0可能相切B．直線SKIPIF1<0與圓SKIPIF1<0一定相交C．當(dāng)SKIPIF1<0時(shí)，圓SKIPIF1<0上存在2個(gè)點(diǎn)到直線SKIPIF1<0的距離為1D．直線SKIPIF1<0被圓SKIPIF1<0截得的弦長(zhǎng)存在最小值，且最小值為213．若兩定點(diǎn)SKIPIF1<0，SKIPIF1<0，動(dòng)點(diǎn)SKIPIF1<0滿足SKIPIF1<0，則下列說法正確的是（

）A．點(diǎn)SKIPIF1<0的軌跡所圍成區(qū)域的面積為SKIPIF1<0B．SKIPIF1<0面積的最大值為SKIPIF1<0C．點(diǎn)SKIPIF1<0到直線SKIPIF1<0距離的最大值為SKIPIF1<0D．若圓SKIPIF1<0上存在滿足條件的點(diǎn)SKIPIF1<0，則SKIPIF1<0的取值范圍為SKIPIF1<014．已知圓SKIPIF1<0，直線SKIPIF1<0，則下列結(jié)論正確的是（

）A．存在實(shí)數(shù)k，使得直線l與圓C相切B．若直線l與圓C交于A，B兩點(diǎn)，則SKIPIF1<0的最大值為4C．當(dāng)SKIPIF1<0時(shí)，圓C上存在4個(gè)點(diǎn)到直線l的距離為SKIPIF1<0D．當(dāng)SKIPIF1<0時(shí)，對(duì)任意SKIPIF1<0，曲線SKIPIF1<0恒過直線SKIPIF1<0與圓C的交點(diǎn)15．在平面直角坐標(biāo)系SKIPIF1<0中，已知圓SKIPIF1<0，直線SKIPIF1<0與圓SKIPIF1<0相切于點(diǎn)SKIPIF1<0，直線SKIPIF1<0與SKIPIF1<0軸、SKIPIF1<0軸分別交于點(diǎn)SKIPIF1<0.下列說法正確的是（

）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．若SKIPIF1<0是圓SKIPIF1<0上的動(dòng)點(diǎn)，則SKIPIF1<0的最大值是SKIPIF1<0三、填空題16．已知圓SKIPIF1<0，過點(diǎn)SKIPIF1<0的直線SKIPIF1<0與圓SKIPIF1<0交于SKIPIF1<0兩點(diǎn)，SKIPIF1<0是SKIPIF1<0的中點(diǎn)，則SKIPIF1<0點(diǎn)的軌跡方程為．17．若直線l：SKIPIF1<0與圓C：SKIPIF1<0有公共點(diǎn)，則實(shí)數(shù)a的最小值是．18．已知圓C與直線SKIPIF1<0相切于點(diǎn)SKIPIF1<0，且圓心C在直線SKIPIF1<0上．過原點(diǎn)引圓C的切線，則切線長(zhǎng)為．19．已知SKIPIF1<0，又P點(diǎn)為圓O：SKIPIF1<0上任意一點(diǎn)且滿足SKIPIF1<0，則SKIPIF1<0．20．已知⊙M：SKIPIF1<0，直線l：SKIPIF1<0，點(diǎn)P為直線l上的動(dòng)點(diǎn)，過點(diǎn)P作⊙M的切線SKIPIF1<0，切點(diǎn)為A，則切線段SKIPIF1<0長(zhǎng)的最小值為．21．已知圓SKIPIF1<0：SKIPIF1<0，圓SKIPIF1<0上恰有3個(gè)點(diǎn)到直線SKIPIF1<0：SKIPIF1<0的距離為SKIPIF1<0，則SKIPIF1<0．22．已知圓SKIPIF1<0的直徑SKIPIF1<0，點(diǎn)SKIPIF1<0滿足SKIPIF1<0.記點(diǎn)SKIPIF1<0的軌跡為SKIPIF1<0，設(shè)SKIPIF1<0與SKIPIF1<0交于SKIPIF1<0兩點(diǎn)，則SKIPIF1<0.23．已知SKIPIF1<0為圓SKIPIF1<0：SKIPIF1<0上一動(dòng)點(diǎn)，SKIPIF1<0，點(diǎn)SKIPIF1<0為SKIPIF1<0軸上一動(dòng)點(diǎn)，則SKIPIF1<0的最小值為．24．已知點(diǎn)SKIPIF1<0，點(diǎn)SKIPIF1<0是直線SKIPIF1<0上任意一點(diǎn)，且SKIPIF1<0，則實(shí)數(shù)SKIPIF1<0的取值范圍是．25．設(shè)SKIPIF1<0，過定點(diǎn)SKIPIF1<0的動(dòng)直線SKIPIF1<0，和過定點(diǎn)SKIPIF1<0的動(dòng)直線SKIPIF1<0交于點(diǎn)SKIPIF1<0，圓SKIPIF1<0，則下列說法正確的有．①直線SKIPIF1<0過定點(diǎn)SKIPIF1<0；

②直線SKIPIF1<0與圓SKIPIF1<0相交最短弦長(zhǎng)為2；③動(dòng)點(diǎn)SKIPIF1<0的曲線與圓SKIPIF1<0相交；

④SKIPIF1<0最大值為5．四、解答題26．已知圓C的圓心在直線SKIPIF1<0上，且該圓與x軸相切.(1)若圓C經(jīng)過點(diǎn)SKIPIF1<0，求該圓的方程；(2)若圓C被直線SKIPIF1<0截得的弦長(zhǎng)為SKIPIF1<0，求該圓的方程.27．已知圓C：SKIPIF1<0和定點(diǎn)SKIPIF1<0，直線l：SKIPIF1<0（SKIPIF1<0）.(1)當(dāng)SKIPIF1<0時(shí)，求直線l被圓C所截得的弦長(zhǎng)；(2)若直線l上存在點(diǎn)M，過點(diǎn)M作圓C的切線，切點(diǎn)為B，滿足SKIPIF1<0，求m的取值范圍.28．已知半徑為4的圓SKIPIF1<0與直線SKIPIF1<0相切，圓心SKIPIF1<0在SKIPIF1<0軸的負(fù)半軸上.(1)求圓SKIPIF1<0的方程；(2)已知直線SKIPIF1<0與圓SKIPIF1<0相交于SKIPIF1<0兩點(diǎn)，且SKIPIF1<0的面積為8，求直線SKIPIF1<0的方程.29．已知SKIPIF1<0，直線SKIPIF1<0，設(shè)圓SKIPIF1<0的半徑為1，圓心在SKIPIF1<0上.(1)若圓心SKIPIF1<0也在直線SKIPIF1<0上，且過點(diǎn)SKIPIF1<0的直線SKIPIF1<0與圓SKIPIF1<0有公共點(diǎn)，求直線SKIPIF1<0的斜率SKIPIF1<0的取值范圍；(2)若圓SKIPIF1<0上存在點(diǎn)SKIPIF1<0，使SKIPIF1<0，求圓心SKIPIF1<0的縱坐標(biāo)的取值范圍.30．已知圓SKIPIF1<0，直線SKIPIF1<0過點(diǎn)SKIPIF1<0.(1)當(dāng)直線SKIPIF1<0與圓SKIPIF1<0相切時(shí)，求直線SKIPIF1<0的斜率；(2)線段SKIPIF1<0的端點(diǎn)SKIPIF1<0在圓SKIPIF1<0上運(yùn)動(dòng)，求線段SKIPIF1<0的中點(diǎn)SKIPIF1<0的軌跡方程.【C組

在創(chuàng)新中考查思維】一、單選題1．在平面直角坐標(biāo)系SKIPIF1<0中，若圓SKIPIF1<0上存在點(diǎn)SKIPIF1<0，且點(diǎn)SKIPIF1<0關(guān)于直線SKIPIF1<0的對(duì)稱點(diǎn)SKIPIF1<0在圓SKIPIF1<0上，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．已知三角形SKIPIF1<0中，SKIPIF1<0，角SKIPIF1<0的平分線交SKIPIF1<0于點(diǎn)SKIPIF1<0，若SKIPIF1<0，則三角形SKIPIF1<0面積的最大值為（

）A．1 B．2 C．3 D．43．對(duì)于圓SKIPIF1<0上任意一點(diǎn)SKIPIF1<0，SKIPIF1<0的值與SKIPIF1<0，SKIPIF1<0無關(guān)，則SKIPIF1<0的范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．已知正方形SKIPIF1<0的邊長(zhǎng)為2，點(diǎn)SKIPIF1<0在以SKIPIF1<0為圓心，1為半徑的圓上，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．若M、N為圓SKIPIF1<0上任意兩點(diǎn)，P為直線SKIPIF1<0上一個(gè)動(dòng)點(diǎn)，則SKIPIF1<0的最大值是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知點(diǎn)SKIPIF1<0是圓SKIPIF1<0上任意一點(diǎn)，SKIPIF1<0，則（

）A．SKIPIF1<0的最大值是SKIPIF1<0 B．SKIPIF1<0的最小值是SKIPIF1<0C．SKIPIF1<0的最小值是SKIPIF1<0 D．SKIPIF1<0的最大值是SKIPIF1<0二、多選題7．在平面直角坐標(biāo)系SKIPIF1<0中，圓SKIPIF1<0（SKIPIF1<0為實(shí)數(shù)），點(diǎn)SKIPIF1<0，點(diǎn)SKIPIF1<0為圓SKIPIF1<0上的動(dòng)點(diǎn)，則（

）A．若SKIPIF1<0，過點(diǎn)SKIPIF1<0可以作圓SKIPIF1<0的兩條切線B．當(dāng)SKIPIF1<0時(shí)，圓SKIPIF1<0與圓SKIPIF1<0的公共弦長(zhǎng)為SKIPIF1<0C．圓SKIPIF1<0上始終存在兩點(diǎn)與點(diǎn)SKIPIF1<0的距離為1，則SKIPIF1<0的取值范圍為SKIPIF1<0D．SKIPIF1<0的取值范圍為SKIPIF1<08．（多選題）已知向量SKIPIF1<0滿足SKIPIF1<0.設(shè)SKIPIF1<