新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題14 直線與圓綜合問(wèn)題（單選+多選+填空）（原卷版）

試卷第=page11頁(yè)，共=sectionpages33頁(yè)專題14直線與圓綜合問(wèn)題（單選+多選+填空）一、單選題1．（2023春·湖北·高三校聯(lián)考階段練習(xí)）已知點(diǎn)SKIPIF1<0，若在圓SKIPIF1<0上存在點(diǎn)SKIPIF1<0滿足SKIPIF1<0，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023春·湖南岳陽(yáng)·高三湖南省岳陽(yáng)縣第一中學(xué)校考階段練習(xí)）已知直角SKIPIF1<0的直角頂點(diǎn)SKIPIF1<0在圓SKIPIF1<0上，若點(diǎn)SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2023春·浙江寧波·高三校聯(lián)考階段練習(xí)）過(guò)原點(diǎn)的動(dòng)直線SKIPIF1<0與圓SKIPIF1<0交于不同的兩點(diǎn)SKIPIF1<0.記線段SKIPIF1<0的中點(diǎn)為SKIPIF1<0，則當(dāng)直線SKIPIF1<0繞原點(diǎn)轉(zhuǎn)動(dòng)時(shí)，動(dòng)點(diǎn)SKIPIF1<0的軌跡長(zhǎng)度為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2023·浙江·校聯(lián)考三模）在平面直角坐標(biāo)系上，圓SKIPIF1<0，直線SKIPIF1<0與圓SKIPIF1<0交于SKIPIF1<0兩點(diǎn)，SKIPIF1<0，則當(dāng)SKIPIF1<0的面積最大時(shí)，SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2023·福建福州·統(tǒng)考二模）已知SKIPIF1<0，SKIPIF1<0關(guān)于直線SKIPIF1<0對(duì)稱的圓記為SKIPIF1<0，點(diǎn)E，F(xiàn)分別為SKIPIF1<0，SKIPIF1<0上的動(dòng)點(diǎn)，EF長(zhǎng)度的最小值為4，則SKIPIF1<0（

）A．SKIPIF1<0或SKIPIF1<0 B．SKIPIF1<0或SKIPIF1<0 C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<06．（2023春·江蘇南通·高三校考開(kāi)學(xué)考試）已知圓C：SKIPIF1<0，過(guò)點(diǎn)SKIPIF1<0的直線與圓C交于A，B兩點(diǎn)．若SKIPIF1<0，則r的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023春·湖南長(zhǎng)沙·高三長(zhǎng)沙一中校考階段練習(xí)）如圖，圓SKIPIF1<0，點(diǎn)SKIPIF1<0為直線SKIPIF1<0上一動(dòng)點(diǎn)，過(guò)點(diǎn)SKIPIF1<0引圓SKIPIF1<0的兩條切線，切點(diǎn)分別為SKIPIF1<0；若兩條切線SKIPIF1<0與SKIPIF1<0軸分別交于SKIPIF1<0兩點(diǎn)，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．SKIPIF1<08．（2023·湖北武漢·統(tǒng)考模擬預(yù)測(cè)）設(shè)A，B是半徑為3的球體O表面上兩定點(diǎn)，且SKIPIF1<0，球體O表面上動(dòng)點(diǎn)P滿足SKIPIF1<0，則點(diǎn)P的軌跡長(zhǎng)度為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題9．（2023·遼寧沈陽(yáng)·統(tǒng)考一模）已知圓SKIPIF1<0，點(diǎn)SKIPIF1<0是直線SKIPIF1<0上的動(dòng)點(diǎn)，過(guò)點(diǎn)SKIPIF1<0作圓SKIPIF1<0的兩條切線，切點(diǎn)分別為SKIPIF1<0、SKIPIF1<0，則下列說(shuō)法正確的是（

）A．切線長(zhǎng)SKIPIF1<0的最小值為SKIPIF1<0B．四邊形SKIPIF1<0面積的最小值為SKIPIF1<0C．若SKIPIF1<0是圓SKIPIF1<0的一條直徑，則SKIPIF1<0的最小值為SKIPIF1<0D．直線SKIPIF1<0恒過(guò)定點(diǎn)SKIPIF1<010．（2023春·福建南平·高三校聯(lián)考階段練習(xí)）已知圓SKIPIF1<0，點(diǎn)P為直線SKIPIF1<0上一動(dòng)點(diǎn)，下列結(jié)論正確的是（

）A．直線l與圓C相離B．圓C上有且僅有一個(gè)點(diǎn)到直線l的距離等于1C．過(guò)點(diǎn)P向圓C引一條切線PA，A為切點(diǎn)，則SKIPIF1<0的最小值為SKIPIF1<0D．過(guò)點(diǎn)P向圓C引兩條切線PA和PB，A、B為切點(diǎn)，則直線AB過(guò)定點(diǎn)11．（2023·山東菏澤·統(tǒng)考一模）已知圓SKIPIF1<0，下列說(shuō)法正確有（

）A．對(duì)于SKIPIF1<0，直線SKIPIF1<0與圓SKIPIF1<0都有兩個(gè)公共點(diǎn)B．圓SKIPIF1<0與動(dòng)圓SKIPIF1<0有四條公切線的充要條件是SKIPIF1<0C．過(guò)直線SKIPIF1<0上任意一點(diǎn)SKIPIF1<0作圓SKIPIF1<0的兩條切線SKIPIF1<0（SKIPIF1<0為切點(diǎn)），則四邊形SKIPIF1<0的面積的最小值為4D．圓SKIPIF1<0上存在三點(diǎn)到直線SKIPIF1<0距離均為112．（2023·山東臨沂·統(tǒng)考一模）已知圓SKIPIF1<0，點(diǎn)SKIPIF1<0，點(diǎn)SKIPIF1<0在圓SKIPIF1<0上，SKIPIF1<0為坐標(biāo)原點(diǎn)，則（

）A．線段SKIPIF1<0長(zhǎng)的最大值為6 B．當(dāng)直線SKIPIF1<0與圓SKIPIF1<0相切時(shí)，SKIPIF1<0C．以線段SKIPIF1<0為直徑的圓不可能過(guò)原點(diǎn)SKIPIF1<0 D．SKIPIF1<0的最大值為2013．（2023·湖北·宜昌市一中校聯(lián)考模擬預(yù)測(cè)）已知SKIPIF1<0．點(diǎn)SKIPIF1<0分別在SKIPIF1<0上．則（

）A．SKIPIF1<0的最大值為9 B．SKIPIF1<0的最小值為SKIPIF1<0C．若SKIPIF1<0平行于x軸，則SKIPIF1<0的最小值為SKIPIF1<0 D．若SKIPIF1<0平行于y軸，則SKIPIF1<0的最大值為SKIPIF1<014．（2023春·湖北·高三統(tǒng)考階段練習(xí)）已知圓SKIPIF1<0，直線SKIPIF1<0，SKIPIF1<0為直線SKIPIF1<0上的動(dòng)點(diǎn)，過(guò)點(diǎn)SKIPIF1<0作圓SKIPIF1<0的切線SKIPIF1<0，SKIPIF1<0，切點(diǎn)為SKIPIF1<0，SKIPIF1<0，則下列結(jié)論正確的是（

）A．當(dāng)SKIPIF1<0最大時(shí)，SKIPIF1<0B．當(dāng)SKIPIF1<0最大時(shí)，直線SKIPIF1<0的方程為SKIPIF1<0C．四邊形SKIPIF1<0面積的最大值為SKIPIF1<0D．四邊形SKIPIF1<0面積的最小值為SKIPIF1<015．（2023·湖北·統(tǒng)考模擬預(yù)測(cè)）已知直線SKIPIF1<0交SKIPIF1<0軸于點(diǎn)P，圓SKIPIF1<0，過(guò)點(diǎn)P作圓M的兩條切線，切點(diǎn)分別為A，B，直線SKIPIF1<0與SKIPIF1<0交于點(diǎn)C，則（

）A．若直線l與圓M相切，則SKIPIF1<0B．當(dāng)SKIPIF1<0時(shí)，四邊形SKIPIF1<0的面積為SKIPIF1<0C．直線SKIPIF1<0經(jīng)過(guò)一定點(diǎn)D．已知點(diǎn)SKIPIF1<0，則SKIPIF1<0為定值16．（2023春·湖南長(zhǎng)沙·高三雅禮中學(xué)?？茧A段練習(xí)）已知直線SKIPIF1<0，則下列說(shuō)法正確的是（

）A．直線SKIPIF1<0一定不過(guò)原點(diǎn)B．存在定點(diǎn)SKIPIF1<0，使得點(diǎn)SKIPIF1<0到直線SKIPIF1<0的距離為定值C．點(diǎn)SKIPIF1<0到直線SKIPIF1<0的最小值為SKIPIF1<0D．若直線SKIPIF1<0分別與SKIPIF1<0軸，SKIPIF1<0軸交于SKIPIF1<0兩點(diǎn)，則SKIPIF1<0的周長(zhǎng)可以等于1217．（2023·湖南·湖南師大附中校聯(lián)考模擬預(yù)測(cè)）已知SKIPIF1<0為圓SKIPIF1<0上的兩點(diǎn)，SKIPIF1<0為直線SKIPIF1<0上一動(dòng)點(diǎn)，則（

）A．直線SKIPIF1<0與圓SKIPIF1<0相離B．當(dāng)SKIPIF1<0為兩定點(diǎn)時(shí)，滿足SKIPIF1<0的點(diǎn)SKIPIF1<0有2個(gè)C．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0的最大值是SKIPIF1<0D．當(dāng)SKIPIF1<0為圓SKIPIF1<0的兩條切線時(shí)，直線SKIPIF1<0過(guò)定點(diǎn)SKIPIF1<018．（2023·廣東汕頭·統(tǒng)考一模）已知直線SKIPIF1<0：SKIPIF1<0，SKIPIF1<0：SKIPIF1<0，圓C：SKIPIF1<0，若圓C與直線SKIPIF1<0，SKIPIF1<0都相切，則下列選項(xiàng)一定正確的是（

）A．SKIPIF1<0與SKIPIF1<0關(guān)于直線SKIPIF1<0對(duì)稱B．若圓C的圓心在x軸上，則圓C的半徑為3或9C．圓C的圓心在直線SKIPIF1<0或直線SKIPIF1<0上D．與兩坐標(biāo)軸都相切的圓C有且只有2個(gè)19．（2023秋·江蘇蘇州·高三統(tǒng)考期末）已知圓C：SKIPIF1<0點(diǎn)P在直線l：SKIPIF1<0上運(yùn)動(dòng)，以線段PC為直徑的圓D與圓C相交于A，B兩點(diǎn)，則下列結(jié)論正確的是（

）A．直線l與圓SKIPIF1<0相離 B．圓D的面積的最小值為SKIPIF1<0C．弦長(zhǎng)SKIPIF1<0的最大值為2 D．直線AB過(guò)定點(diǎn)20．（2023春·河北邢臺(tái)·高三邢臺(tái)市第二中學(xué)?？茧A段練習(xí)）已知點(diǎn)SKIPIF1<0，圓C：SKIPIF1<0，點(diǎn)P是圓C上的一點(diǎn)，則下列說(shuō)法正確的是（

）A．若SKIPIF1<0，則SKIPIF1<0B．SKIPIF1<0的最小值為SKIPIF1<0C．設(shè)線段PA的中點(diǎn)為Q，則點(diǎn)Q到直線SKIPIF1<0的距離的取值范圍是SKIPIF1<0D．過(guò)直線SKIPIF1<0上一點(diǎn)T引圓C的兩條切線，切點(diǎn)分別為M，N，則SKIPIF1<0的取值范圍是SKIPIF1<0三、填空題21．（2023·安徽·統(tǒng)考一模）已知圓SKIPIF1<0，直線SKIPIF1<0（SKIPIF1<0是參數(shù)），則直線SKIPIF1<0被圓SKIPIF1<0截得的弦長(zhǎng)的最小值為_(kāi)_________.22．（2023·山東淄博·統(tǒng)考一模）在平面直角坐標(biāo)系SKIPIF1<0中，已知點(diǎn)SKIPIF1<0，直線SKIPIF1<0與圓SKIPIF1<0交于SKIPIF1<0，SKIPIF1<0兩點(diǎn)，若SKIPIF1<0為正三角形，則實(shí)數(shù)SKIPIF1<0______.23．（2023春·湖北·高三統(tǒng)考階段練習(xí)）過(guò)直線SKIPIF1<0上一點(diǎn)SKIPIF1<0作圓SKIPIF1<0的兩條切線SKIPIF1<0，切點(diǎn)分別為SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的最小值為_(kāi)_________.24．（2023春·湖南·高三校聯(lián)考階段練習(xí)）若直線SKIPIF1<0上存在點(diǎn)P，過(guò)點(diǎn)P作圓O：SKIPIF1<0的兩條切線，A，B為切點(diǎn)，滿足SKIPIF1<0，則k的取值范圍是____________．25．（2023·湖南張家界·統(tǒng)考二模）已知直線SKIPIF1<0與圓心坐標(biāo)為SKIPIF1<0（SKIPIF1<0為整數(shù)）且經(jīng)過(guò)點(diǎn)SKIPIF1<0的圓C相切，直線m：SKIPIF1<0與圓C相交于A、B兩點(diǎn)，則下列說(shuō)法正確的是______.①圓C的標(biāo)準(zhǔn)方程為SKIPIF1<0；②若SKIPIF1<0，則實(shí)數(shù)SKIPIF1<0的值為2；③若SKIPIF1<0，則直線SKIPIF1<0的方程為SKIPIF1<0或SKIPIF1<0；④弦SKIPIF1<0的中點(diǎn)M的軌跡方程為SKIPIF1<0.26．（2023春·浙江·高三校聯(lián)考開(kāi)學(xué)考試）已知SKIPIF1<0為圓SKIPIF1<0內(nèi)一點(diǎn)，AB，CD是過(guò)點(diǎn)P且互相垂直的兩條弦，則四邊形ABCD面積S的最大值為_(kāi)_______．27．（2023春·浙江紹興·高三統(tǒng)考開(kāi)學(xué)考試）已知圓SKIPIF1<0和圓SKIPIF1<0，若